% compiled by Ken Stephenson
% CP-bib.bib      Circle packing bibliography. 
% September 2005
%

@BOOK(AP95,
AUTHOR={Pankaj K. Agarwal and J\'anos Pach},
TITLE={Combinatorial Geometry},
PUBLISHER={Wiley-Interscience},
ADDRESS={New York},
YEAR={1995},
NOTE={Part I, Section 8 on circle packing}
) %CP

@ARTICLE(dA90,
AUTHOR = {Dov Aharonov},
TITLE = {The hexagonal packing lemma and discrete potential theory},  
JOURNAL = {Canadian Math. Bulletin},  
VOLUME = {33},  
YEAR = {1990},  
PAGES = {247--252}
)   %CP

@ARTICLE(dA91, 
AUTHOR = {Dov Aharonov}, 
TITLE = {The {Descartes} circle theorem and applications to function theory},
JOURNAL = {Technion Preprint},
PAGES = {},  
YEAR = {1991}
)   %CP

@ARTICLE(dA94, 
AUTHOR = {Dov Aharonov},
TITLE = {The hexagonal packing lemma and the {Rodin} {Sullivan} {Conjecture}}, 
JOURNAL = {Transactions Amer. Math. Soc.},  
VOLUME = {343},  
YEAR = {1994},
PAGES = {157--167}
)   %CP

@ARTICLE(dA97, 
AUTHOR = {Dov Aharonov}, 
TITLE = {The sharp constant in the ring lemma},
JOURNAL = {Complex Variables Theory Appl.},
VOLUME = {33},
PAGES = {27--31},  
YEAR = {1997}
)   %CP

@ARTICLE(AS97, 
AUTHOR = {Dov Aharonov and Kenneth Stephenson}, 
TITLE = {Geometric sequences of discs in the {Apollonian} packing},
JOURNAL = {Algebra i Analiz, dedicated to Goluzin},
PUBLISHER = {Russian Academy of Sciences},
PAGES = {104--140}, 
VOLUME = {9},
NUMBER = {3}, 
YEAR = {1997}
)   %CP

@ARTICLE(eA70b,
AUTHOR = {E. M. Andreev},
TITLE = {Convex polyhedra in {Lobacevskii} space},  
JOURNAL = {Math. USSR Sbornik}, 
LANGUAGE = {English},  
VOLUME = {10},  
YEAR = {1970},  
PAGES = {413--440}
)   %CP

@ARTICLE(eA70d, 
AUTHOR = {E. M. Andreev},
TITLE = {Convex polyhedra of finite volume in {Lobacevskii} space}, 
JOURNAL = {Math. USSR Sbornik},
LANGUAGE = {English},  
VOLUME = {12},  
YEAR = {1970},  
PAGES = {255--259}
)   %CP

@ARTICLE(BFP84, 
AUTHOR = {{Imre B\'ar\'any} and {Zolt\'an F\"uredi} and {J\'anos Pach}},
TITLE = {Discrete convex functions and proof of the six circle conjecture 
of {Fejes T\'oth}},  
JOURNAL = {Can. J. Math.},  
VOLUME = {36},  
YEAR = {1984},  
PAGES = {569--576}
)  %CP

@ARTICLE(BSt91a, 
AUTHOR = {Alan F. Beardon and Kenneth Stephenson},
TITLE = {The {Schwarz-Pick} lemma for circle packings},  
JOURNAL = {Ill. J. Math.},  
VOLUME = {35},  
YEAR = {1991},
PAGES = {577--606}
)   %CP

@ARTICLE(BSt91b, 
AUTHOR = {Alan F. Beardon and Kenneth Stephenson},
TITLE = {Circle packings in different geometries},  
JOURNAL = {Tohoku Math. J.},  
VOLUME = {43},  
YEAR = {1991},  
PAGES = {27--36}
)  %CP

@ARTICLE(BSt90, 
AUTHOR = {Alan F. Beardon and Kenneth Stephenson},
TITLE = {The uniformization theorem for circle packings},  
JOURNAL = {Indiana Univ. Math. J.},  
VOLUME = {39},
YEAR = {1990},  
PAGES = {1383--1425}
)  %CP

@ARTICLE(BDS94, 
AUTHOR = {Alan F. Beardon and Tomasz Dubejko and Kenneth Stephenson},
TITLE = {Spiral hexagonal circle packings in the plane}, 
JOURNAL = {Geometriae Dedicata},  
VOLUME = {49},  
YEAR = {1994},  
PAGES = {39--70}
)  %CP

@ARTICLE(mB92, 
AUTHOR = {Marcel Berger},
TITLE = {Les placements de cercles},  
JOURNAL = {Pour la Science (French Scientific American)},  
YEAR = {1992}, 
PAGES = {}, 
VOLUME = {176}
)   %CP

@ARTICLE(BH01,
AUTHOR = {A.~I.~Bobenko and T.~Hoffman},
TITLE = {Conformally Symmetric Circle Packings: a generalization of
{Doyle's} spirals},
JOURNAL = {Experiment. Math.},
VOLUME = {10},
PAGES = {141--150},
YEAR = {2001}
) %CP

@ARTICLE(BHS02,
AUTHOR = {A.~I.~Bobenko and T.~Hoffman and Yu.~B.~Suris},
TITLE = {Hexagonal circle patterns and integrable systems: patterns
with the multi-ratio property and {Lax} equations on the regular
triangular lattice},
JOURNAL = {Int. Math. Res. Not.},
VOLUME = {},
PAGES = {111--164},
YEAR = {2002}
) %CP

@ARTICLE(BoH03,
AUTHOR = {Alexander~I.~Bobenko and Tim~Hoffman},
TITLE = {Hexagonal circle patterns and integrable systems. Patterns with
constant angles},
JOURNAL = {Duke Math. J.},
VOLUME = {116},
NUMBER = {3},
PAGES = {525--566},
YEAR = {2003}
) %CP

@ARTICLE(BkS03,
AUTHOR = {Alexander~I.~Bobenko and Boris~A.~Springborn},
TITLE= {Variational principles for circle patterns and {Koebe's} theorem},
JOURNAL = {Trans. Amer. Math. Soc.},
VOLUME = {356},
PAGES = {659--689},
YEAR = {2003}
) %CP

@ARTICLE(BHS02-t,
AUTHOR = {A.~I.~Bobenko and T.~Hoffmann and B.~Springborn},
TITLE= {Minimal surfaces from circle patterns: geometry from 
combinatorics},
JOURNAL = {},
VOLUME = {},
PAGES = {},
YEAR = {},
NOTE = {preprint, 2002}
) %CP

@ARTICLE(pB93, 
AUTHOR = {Philip L. Bowers},
TITLE = {The upper {Perron} method for labelled complexes 
with applications to circle packings},
JOURNAL = {Proc. Camb. Phil. Soc.},  
VOLUME = {114},  
YEAR = {1993},  
PAGES = {321--345}
)   %CP

@ARTICLE(BS92, 
AUTHOR = {Philip L. Bowers and Kenneth Stephenson},
TITLE = {The set of circle packing points in the {Teichm\"uller} 
space of a surface of finite conformal type is dense},  
JOURNAL = {Math. Proc. Camb. Phil. Soc.},  
YEAR = {1992},
VOLUME = {111},  
PAGES = {487--513} 
)   %CP

@ARTICLE(BS93, 
AUTHOR = {Philip L. Bowers and Kenneth Stephenson},
TITLE = {Circle packings in surfaces of finite type: An in situ approach 
with applications to moduli},  
JOURNAL = {Topology},  
VOLUME = {32},  
YEAR = {1993},  
PAGES = {157--183}
)   %CP

@ARTICLE(BS96, 
AUTHOR = {Philip L. Bowers and Kenneth Stephenson},
TITLE = {A branched {Andreev-Thurston} Theorem for circle packings of 
the sphere},
JOURNAL = {Proc. London Math. Soc. (3)},
VOLUME = {73},
YEAR = {1996},
PAGES = {185--215}
)   %CP

@ARTICLE(BS97, 
AUTHOR = {Philip L. Bowers and Kenneth Stephenson},
TITLE = {A ``regular'' pentagonal tiling of the plane},
JOURNAL = {Conformal Geometry and Dynamics},
VOLUME = {1},
YEAR = {1997},
PAGES = {58--86}
)   %CPN

@BOOK(BS04, 
AUTHOR = {Philip L. Bowers and Kenneth Stephenson},
TITLE = {Uniformizing dessins and {Bely\u{\i }} maps via circle packing},
PUBLISHER = {Amer. Math. Soc.},
JOURNAL = {Memoirs},
VOLUME = {170},
NUMBER = {805},
YEAR = {2004}
)   %CP

@ARTICLE(pB97, 
AUTHOR = {Philip L. Bowers},
TITLE = {Negatively curved graph and planar metrics with
applications to type},
JOURNAL = {Mich. Math. J.},  
VOLUME = {45},  
YEAR = {1998},  
PAGES = {31--53}
)   %CP

@INCOLLECTION(BH03, 
AUTHOR = {Philip L. Bowers and Monica K. Hurdal},
TITLE = {Planar conformal mapping of piecewise flat surfaces},
BOOKTITLE = {Visualization and Mathematics III},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
EDITORS = {H.-C. Hege and K. Polthier},
YEAR = {2003},  
PAGES = {3--34}
)   %CP

@ARTICLE(wB92, 
AUTHOR = {Walter Br\"agger},
TITLE = {Kreispackungen und {Triangulierungen}},
JOURNAL = {L'Enseignement Math.},  
YEAR = {1992},  
VOLUME = {38},  
PAGES = {201--217}
)   %CP

@ARTICLE(wB93-t,
AUTHOR = {Walter Br\"agger},
TITLE = {Disk packings and volume of hyperbolic polyhedra},
YEAR = {1993},
JOURNAL = {},
PAGES = {},
VOLUME = {},
NOTE = {preprint}
)	%CP

@article(BrS93,
    AUTHOR = {Brightwell, Graham R. and Scheinerman, Edward R.},
     TITLE = {Representations of planar graphs},
   JOURNAL = {SIAM J. Discrete Math.},
    VOLUME = {6},
      YEAR = {1993},
    NUMBER = {2},
     PAGES = {214--229}
) %CP

@ARTICLE(rB85a, 
AUTHOR = {Robert Brooks},
TITLE = {On the deformation theory of classical {Schottky} groups},  
JOURNAL = {Duke Math. J.},  
VOLUME = {52},  
YEAR = {1985},  
PAGES = {1009--1024}
)   %CP

@ARTICLE(rB86, 
AUTHOR = {Robert Brooks},
TITLE = {Circle packings and co-compact extensions of {Kleinian} groups},  
JOURNAL = {Inventiones Mathematicae},  
VOLUME = {86},  
YEAR = {1986},
PAGES = {461--469}
)   %CP

@INCOLLECTION(rB92, 
AUTHOR = {Robert Brooks},
TITLE = {The continued fraction parameter in the deformation theory of 
classical {Schottky} groups},
BOOKTITLE = {Contemp. Math.},  
VOLUME = {136},
PUBLISHER = {Amer. Math. Soc.}, 
ADDRESS = {Providence, RI},
YEAR = {1992},  
PAGES = {41--54} 
)   %CP

@PHDTHESIS(kC93, 
AUTHOR = {Kevin Callahan},
TITLE = {The Application of {Ahlfors'} Value Distribution Theory of 
Covering Surfaces to Circle Packing},
SCHOOL = {UCSD},
NOTE = {(advisor: Burt Rodin)},
YEAR = {1993}
)   %CP

@ARTICLE(CR93, 
AUTHOR = {Kevin Callahan and Burt Rodin},
TITLE = {Circle packing immersions from regularly exhaustible surfaces}, 
JOURNAL = {Complex Variables, Theory and Appl.},  
VOLUME = {21},  
PAGES = {171--177},  
YEAR = {1993}
)   %CP

@INCOLLECTION(jC91, 
AUTHOR = {James W. Cannon},
EDITOR = {{Tim Bedford} and {Michael Keane} and {Caroline Series}},
CHAPTER = {Eleventh},
TITLE = {The Theory of Negatively Curved Spaces and Groups},
BOOKTITLE = {Ergodic Theory, Symbolic Dynamics and Hyperbolic Spaces},
PUBLISHER = {Oxford Science Publications, Oxford-NewYork-Tokyo},
PAGES = {315--369},
YEAR = {1991},
NOTE = {Comments on circle packing}
)  %CP

@PHDTHESIS(iC89, 
AUTHOR = {Ithiel Carter},
TITLE = {Circle Packing and Conformal Mapping}, 
SCHOOL = {UCSD (advisor: Burt Rodin)},  
YEAR = {1989}
)   %CP

@ARTICLE(CR92, 
AUTHOR = {Ithiel Carter and Burt Rodin},
TITLE = {An inverse problem for circle packing and conformal mapping},  
JOURNAL = {Transactions Amer. Math. Soc.},  
VOLUME = {334},  
YEAR = {1992},  
PAGES = {861--875}
)   %CP

@ARTICLE(CL03,
AUTHOR = {Bennett Chow and Feng Luo},
TITLE = {Combinatorial {Ricci} flows on surfaces},
JOURNAL = {J. Differential Geom.},
YEAR = {2003},
VOLUME = {63},
PAGES = {97--129}
) %CP

@ARTICLE(CdV89, 
AUTHOR = {Yves Colin de Verdi\`ere},
TITLE = {Empilements de cercles: Convergence d'une m\'ethode de point fixe}, 
JOURNAL = {Forum Mathematicum},
YEAR = {1989},  
PAGES = {395--402},  
VOLUME = {1}
)   %CP

@ARTICLE(CdV91a, 
AUTHOR = {Yves Colin de Verdi\`ere}, 
TITLE = {Une principe variationnel pour les empilements de cercles},  
JOURNAL = {Inventiones Mathematicae},  
YEAR = {1991},  
VOLUME = {104},
PAGES = {655--669}
)   %CP

@INCOLLECTION(CdVM94, 
AUTHOR = {Yves Colin de Verdi\`ere and Fr\'ed\'eric Math\'eus}, 
TITLE = {Empilements de cercles et approximations conformes},
BOOKTITLE = {Comptes rendus de la Table Ronde de Geometrie Rieman\-nienne 
en l'honneur de Marcel Berger, Seminaires et Congres},  
YEAR = {1994}, 
PUBLISHER = {S.M.F.}
)   %CP

@ARTICLE(CS03, 
AUTHOR = {Charles R. Collins and Kenneth Stephenson},
TITLE = {A circle packing algorithm},  
YEAR = {2003},  
JOURNAL = {Computational Geometry: Theory and Applications},  
VOLUME = {25},
PAGES = {233--256}
)  %CP

@ARTICLE(CDS03, 
AUTHOR = {Ch. R. Collins and T. A. Driscoll and K. Stephenson},
TITLE = {Curvature flow in conformal mapping},  
YEAR = {2003},  
JOURNAL = {Comput. Methods Funct. Theory},  
VOLUME = {3},
NUMBER = {1},
PAGES = {325--347}
)  %CP

@ARTICLE(DHR94a, 
AUTHOR = {{P. Doyle} and {Zheng-Xu He} and {Burt Rodin}},
TITLE = {The asymptotical value of the circle packing constants $s_n$},  
JOURNAL = {Discrete and Computational Geometry},  
YEAR = {1994},  
VOLUME = {12},  
PAGES = {105--116}
)   %CP 

@ARTICLE(DHR94b, 
AUTHOR = {{P. Doyle} and {Zheng-Xu He} and {Burt Rodin}},
TITLE = {Second derivatives and estimates for hexagonal circle packings},  
JOURNAL = {Discrete and Computational Geom.},  
VOLUME = {11},  
YEAR = {1994},  
PAGES = {35--49} 
)   %CP

@PHDTHESIS(tD93, 
AUTHOR = {Tomasz Dubejko},
TITLE = {Branched circle packings, discrete complex polynomials, 
and the approximation of analytic functions},
SCHOOL = {University of Tennessee (advisor: Ken Stephenson)},  
YEAR = {1993}
)   %CP

@ARTICLE(tD95, 
AUTHOR = {Tomasz Dubejko},
TITLE = {Branched circle packings and discrete {Blaschke} products},  
JOURNAL = {Trans. Amer. Math. Soc.},
VOLUME = {347},
NUMBER = {10},
YEAR = {1995},
PAGES = {4073--4103}
)   %CP

@ARTICLE(DS95a, 
AUTHOR = {Tomasz Dubejko and Kenneth Stephenson},
TITLE = {The branched {Schwarz} lemma: a classical result via 
circle packing},   
JOURNAL = {Mich. Math. J.},  
VOLUME = {42},  
PAGES = {211--234},  
YEAR = {1995}
)    %CP

@ARTICLE(DS95b, 
AUTHOR = {Tomasz Dubejko and Kenneth Stephenson},
TITLE = {Circle packing: Experiments in discrete analytic function theory}, 
JOURNAL = {Experimental Mathematics},
PAGES = {307--348},
VOLUME = {4},
NUMBER = {4},
YEAR = {1995}
)   %CP

@ARTICLE(tD96,
AUTHOR = {Tomasz Dubejko},
TITLE = {Circle-packing connections with random walks and a finite
volume method}, 
JOURNAL = {S\'emin. Th\'eor. Spectr. G\'eom.},  
YEAR = {1996--97},
PAGES = {153--161},
VOLUME = {15}
)   %CP

@ARTICLE(tD97, 
AUTHOR = {Tomasz Dubejko},
TITLE = {Recurrent random walks, {Liouville's} theorem, and circle packings}, 
JOURNAL = {Math. Proc. Cambridge Philos. Soc.},
YEAR = {1997},
NUMBER = {3},
PAGES = {531--546},
VOLUME = {121}
)   %CP

@ARTICLE(tD97a, 
AUTHOR = {Tomasz Dubejko},
TITLE = {Infinite branched packings and discrete complex polynomials}, 
JOURNAL = {J. London Math. Soc.},
VOLUME = {56},
PAGES = {347--368}, 
YEAR = {1997} 
)   %CP

@ARTICLE(tD97b, 
AUTHOR = {Tomasz Dubejko},
TITLE = {Approximation of analytic functions with prescribed boundary 
conditions by circle packing maps},
JOURNAL = {Discrete Computat. Geom.},
YEAR = {1997},
PAGES = {67--77},
VOLUME = {17}
)   %CP

@ARTICLE(tD97c, 
AUTHOR = {Tomasz Dubejko},
TITLE = {Circle packings in the unit disc}, 
JOURNAL = {Complex Variables Theory Appl.},  
YEAR = {1997},
PAGES = {29--50},
VOLUME = {32}
)   %CP

@INCOLLECTION(tD97d, 
AUTHOR = {Tomasz Dubejko},
TITLE = {Random walks on circle packings},
BOOKTITLE = {Contemp. Math.},  
VOLUME = {211},
PUBLISHER = {Amer. Math. Soc.}, 
ADDRESS = {Providence, RI},
YEAR = {1997},  
PAGES = {169--182} 
)   %CP

@ARTICLE(tD99, 
AUTHOR = {Tomasz Dubejko},
TITLE = {Discrete solutions of Dirichlet problems,
finite volumes, and circle packings},
JOURNAL = {Discrete Comput. Geom.},
YEAR = {1999},
PAGES = {19--39},
VOLUME = {22}
)   %CP

@PHDTHESIS(bG91, 
AUTHOR = {B. T. Garrett},
TITLE = {Euclidean and Hyperbolic Polyhedral Surfaces Determined by 
Circle Packings}, 
SCHOOL = {UCSD (advisor: Burt Rodin)},  
YEAR = {1991}
)   %CP

@ARTICLE(bG92, 
AUTHOR = {B. T. Garrett},
TITLE = {Circle packings and polyhedral surfaces},
JOURNAL = {Disc. Comput. Geom.},  
YEAR = {1992},  
VOLUME = {8},  
PAGES = {429--440}
)   %CP

@ARTICLE(tG37, 
AUTHOR = {Thorold Gosset},
TITLE = {The Hexlet},  
JOURNAL = {February 6, Nature},  
YEAR = {1937},
PAGES = {251--252},
NOTE = {Attached comment by Soddy}
)   %CP

@ARTICLE(lH88, 
AUTHOR = {Lowell J. Hansen},
TITLE = {On the {Rodin} and {Sullivan} ring lemma},  
JOURNAL = {Complex Variables, Theory and Appl.},  
VOLUME = {10},  
YEAR = {1988},
PAGES = {23--30}
)   %CP

@ARTICLE(zxH90, 
AUTHOR = {Zheng-Xu He}, 
TITLE = {Solving {Beltrami} equations by circle packing},
JOURNAL = {Transactions Amer. Math. Soc.},  
VOLUME = {322},  
YEAR = {1990},  
PAGES = {657--670}
)   %CP

@ARTICLE(zxH91, 
AUTHOR = {Zheng-Xu He}, 
TITLE = {An estimate for hexagonal circle packings},
JOURNAL = {J. Differential Geometry},  
VOLUME = {33},  
YEAR = {1991},  
PAGES = {395--412}
)   %CP

@ARTICLE(HS93, 
AUTHOR = {Zheng-Xu He and Oded Schramm},
TITLE = {Fixed points, {Koebe} uniformization and circle packings},  
JOURNAL = {Annals of Math.},  
VOLUME = {137},
YEAR = {1993},  
PAGES = {369--406} 
)   %CP

@ARTICLE(HR93, 
AUTHOR = {Zheng-Xu He and Burt Rodin},
TITLE = {Convergence of circle packings of finite valence to {Riemann} mappings},  
JOURNAL = {Comm. in Analysis and Geometry},  
VOLUME = {1},  
YEAR = {1993},  
PAGES = {31--41}
)   %CP 

@ARTICLE(HS94, 
AUTHOR = {Zheng-Xu He and Oded Schramm},
TITLE = {Rigidity of circle domains whose boundary has $\sigma$-finite 
linear measure},
JOURNAL = {Invent. Math.},  
VOLUME = {115},  
YEAR = {1994},  
PAGES = {297--310}
)   %CP

@ARTICLE(zxH94b, 
AUTHOR = {Zheng-Xu He},
TITLE = {Coarsely quasi-homogeneous circle packings},  
JOURNAL = {Mich. Math. J.},  
VOLUME = {41},  
YEAR = {1994},  
PAGES = {175--180}
)   %CP

@ARTICLE(HS95a, 
AUTHOR = {Zheng-Xu He and Oded Schramm},
TITLE = {Hyperbolic and parabolic packings},  
JOURNAL = {Discrete \& Computational Geom.},  
VOLUME = {14},  
YEAR = {1995},
PAGES = {123--149}
)   %CP

@ARTICLE(HS95b, 
AUTHOR = {Zheng-Xu He and Oded Schramm},
TITLE = {Koebe uniformization for ``almost circle domains''},  
JOURNAL = {Amer. J. Math},
VOLUME = {117},
PAGES = {653--667},
YEAR = {1995}
)    %CP

@ARTICLE(HS95c, 
AUTHOR = {Zheng-Xu He and Oded Schramm},
TITLE = {The inverse {Riemann} mapping theorem for relative circle domains}, 
JOURNAL = {Pac. J. Math},
PAGES = {157--165},
VOLUME = {171},
YEAR = {1995} 
)   %CP

@ARTICLE(HS96, 
AUTHOR = {Zheng-Xu He and Oded Schramm},
TITLE = {On the convergence of circle packings to the {Riemann} map},  
JOURNAL = {Invent. Math.},  
VOLUME = {125},  
YEAR = {1996},
PAGES = {285--305}
)   %CP

@ARTICLE(HS97, 
AUTHOR = {Zheng-Xu He and Oded Schramm},
TITLE = {On the distortion of relative circle domain isomorphisms},
JOURNAL = {J. Anal. Math.},  
VOLUME = {73},  
YEAR = {1997},
PAGES = {115--131}
)   %CP

@ARTICLE(HS98, 
AUTHOR = {Zheng-Xu He and Oded Schramm},
TITLE = {The {$C^{\infty}$}-convergence of hexagonal disk packings
to the {Riemann} map},  
JOURNAL = {Acta Math.},  
VOLUME = {180},  
YEAR = {1998},
PAGES = {219--245}
)   %CP

@ARTICLE(zxH99, 
AUTHOR = {Zheng-Xu He},
TITLE = {Rigidity of infinite disk patterns},  
JOURNAL = {Ann. of Math.},
YEAR = {1999},
VOLUME = {149},
PAGES = {1--33}
)    %CP

@INCOLLECTION(cH92, 
AUTHOR = {Craig D.~Hodgson},
TITLE = {Deduction of {Andreev's} theorem from {Rivin's} characterization 
of convex hyperbolic polyhedra},
BOOKTITLE = {Topology 90, Proceedings of Research Semester in Low 
Dimensional Topology at O.~S.~U.},
PUBLISHER = {de Gruyter Verlag},
ADDRESS = {New York},
YEAR = {1992} 
)   %CP

@INCOLLECTION(HBS99,
AUTHOR = {M. K. Hurdal and P. L. Bowers and K. Stephenson and D. W. L. Sumners and K. Rehm and K. Schaper and D. A. Rottenberg},
TITLE = {Quasi-conformally flat mapping the human cerebellum},
BOOKTITLE = {Medical Image Computing and Computer-Assisted Intervention -
    MICCAI'99},
EDITOR = {C. Taylor and A. Colchester},
PAGES = {279--286},
SERIES = {Lecture Notes in Computer Science},
VOLUME = {1679},
YEAR = {1999},
PUBLISHER = {Springer},
ADDRESS = {Berlin}
) %CP

@INCOLLECTION(HBS99-a,
AUTHOR = {Monica K. Hurdal and De Witt L. Sumners and Kelly Rehm 
and Kirt Schaper and Philip L. Bowers and Ken Stephenson 
and David A. Rottenberg},
TITLE = {A Quasi-conformal map of the cerebellar cortex},
NOTES = {Refereed abstract presented as poster #194 at the 5th International
Conference on Human Brain Mapping (HBM'99), D\"usseldorf, Germany},
BOOKTITLE = {NeuroImage},
PAGES = {S194},
VOLUME = {9},
NUMBER = {6},
YEAR = {1999}
) %CP

@INCOLLECTION(HBS99-b,
AUTHOR = {Monica K. Hurdal and De Witt L. Sumners and Ken Stephenson
and Philip L. Bowers and David A. Rottenberg},
TITLE = {Generating conformal flat maps of the cortical surface
via circle packing},
NOTES = {Refereed abstract presented as poster #195 at the 5th International
Conference on Human Brain Mapping (HBM'99), D\"usseldorf, Germany},
BOOKTITLE = {NeuroImage},
PAGES = {S195},
VOLUME = {9},
NUMBER = {6},
YEAR = {1999}
) %CP

@INCOLLECTION(HBS99-c,
AUTHOR = {Monica K. Hurdal and De Witt L. Sumners and Ken Stephenson
and Philip L. Bowers and David A. Rottenberg},
TITLE = {{CirclePack} software for creating quasi-conformal flat maps of 
the human brain},
NOTES = {Refereed abstract presented as poster #250 at the 5th International
Conference on Human Brain Mapping (HBM'99), D\"usseldorf, Germany},
BOOKTITLE = {NeuroImage},
PAGES = {S250},
VOLUME = {9},
NUMBER = {6},
YEAR = {1999}
) %CP

@INCOLLECTION(mHS04,
AUTHOR = {M. K. Hurdal and Ken Stephenson},
TITLE = {Cortical cartography using the discrete conformal approach
of circle packings},
YEAR = {2004},
VOLUME = {23, Supplement 1},
JOURNAL= {NeuroImage},
PAGES = {S119-S128}
)  %CP

@ARTICLE(pK36, 
AUTHOR = {Koebe},
TITLE = {Kontaktprobleme der {Konformen} {Abbildung}},  
JOURNAL = {Ber. S\"achs. Akad. Wiss. Leipzig, Math.-Phys. Kl.},  
VOLUME = {88},  
YEAR = {1936},
PAGES = {141--164}
)   %CP

@ARTICLE(KMT03,
AUTHOR = {Kojima, Sadayoshi and Mizushima, Shigeru and Tan, Ser Peow},
TITLE = {Circle packings on surfaces with projective structures},
JOURNAL = {J. Differential Geom.},
VOLUME = {63},
NUMBER = {3},
YEAR = {2003},
PAGES = {349--397}
) %CP

@ARTICLE(sK99,
AUTHOR = {Steven G. Krantz},
TITLE = {Conformal Mappings},
JOURNAL = {American Scientist},
VOLUME = {87},
NUMBER = {5},
YEAR = {1999},
PAGES = {436--445}
) %CP

@ARTICLE(MP92a, 
AUTHOR = {S. Malitz \& A. Papakostas},
TITLE = {On the angular resolution of planar graphs},  
JOURNAL = {STOC},  
VOLUME = {24},  
YEAR = {1992},
PAGES = {527--538}
)   %CP

@ARTICLE(MP92b, 
AUTHOR = {S. Malitz and A. Papakostas},
TITLE = {On the angular resolution of planar graphs},  
JOURNAL = {SIAM J. Discrete Math.},  
VOLUME = {7},  
YEAR = {1994},
PAGES = {172--183}
)   %CP

@INCOLLECTION(MR90, 
AUTHOR = {Al Marden and Burt Rodin},
TITLE = {On {Thurston's} formulation and proof of {Andreev's} theorem},
BOOKTITLE = {Computational Methods and Function Theory, Proceeding, Valparaiso 1989},  
YEAR = {1990},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin, Heidelberg, New York, Tokyo},
NOTE = {Lecture Notes in Mathematics, Vol. 1435},  
PAGES = {103--115}
)   %CP

@PHDTHESIS(fM94b, 
AUTHOR = {Fr\'ed\'eric Math\'eus},
TITLE = {Empilements de cercles: rigidit\'e, discretisation d'applications 
conformes},
SCHOOL = {Institut Fourier (Grenoble) (advisor: Colin de Verdi\`ere)},  
YEAR = {1994}, 
NOTE = {These de Doctorat de l'Universite Grenoble I}
)   %CP

@INCOLLECTION(CdVM96, 
AUTHOR = {Yves Colin de Verdi\`ere and Fr\'ed\'eric Math\'eus}, 
TITLE = {Empilements de cercles et approximations conformes},
BOOKTITLE = {Les Actes de la Table Ronde de G\'eom\'etrie Riemannienne 
en l'honneur de Marcel Berger (Lumigny, 13-17 juillet 1992)},  
YEAR = {1996}, 
PUBLISHER = {S.M.F.},
NOTE = {Seminaires et Congres, No. 1}
)   %CP

@ARTICLE(fM93, 
AUTHOR = {Fr\'ed\'eric Math\'eus},
TITLE = {Rigidit\'e des empilements infinis immerges proprement 
dans le plan et dans le disque},
JOURNAL = {S\'eminaire de Th\'eorie Spectrale et G\'eom\'etrie},   
VOLUME = {12},  
PAGES = {69--85},
YEAR = {1993-94}
)   %CP

@ARTICLE(fM96, 
AUTHOR = {Fr\'ed\'eric Math\'eus},
TITLE =   {Empilements de cercles et repr\'esentations conformes: 
une nouvelle preuve du th\'eor\'eme de {R}odin-{S}ullivan},
JOURNAL = {L'Enseignement Mathematique},
VOLUME = {42},
YEAR = {1996},
PAGES = {125--152}
)   %CP

@ARTICLE(fM99, 
AUTHOR = {Fr\'ed\'eric Math\'eus},
TITLE =   {Empilements de cercles et discr\'etization quasiconforme},
JOURNAL = {Discrete Comput. Geom.},
VOLUME = {22},
YEAR = {1999},
PAGES = {41--61}
)   %CP

@PHDTHESIS(gM96, 
AUTHOR = {G. J. McCaughan},
TITLE = {Some Topics in Circle Packing},
SCHOOL = {University of Cambridge (advisor: Keith Carne)},  
YEAR = {1996}
)   %CP

@ARTICLE(gM98, 
AUTHOR = {Gareth McCaughan},
TITLE = {A recurrence/transience result for circle packings},
JOURNAL = {Proc. Amer. Math. Soc.},
VOLUME = {126},
YEAR = {1998},
PAGES = {3647--3656}
)   %CP

@ARTICLE(MTV91, 
AUTHOR = {{Gary L. Miller} and {Shang-Hua Teng} and {Stephen A. Vavasis}},
TITLE = {A unified geometric approach to graph separators},
JOURNAL = {Proc. 32nd Symp. on Found. of Comp. Sci.},
YEAR = {1991},
PAGES = {538--547} 
)   %CP

@INCOLLECTION(MT90, 
AUTHOR = {Gary L. Miller and William Thurston},
TITLE = {Separators in two and three dimensions},
BOOKTITLE = {Proceedings of the 22nd Annual ACM Symposium on Theory of Computing},
PUBLISHER = {ACM},
ADDRESS = {Baltimore},
MONTH = {May}, 
YEAR = {1990},  
PAGES = {300-309}
)   %CP

@ARTICLE(sM00,
AUTHOR = {Shigeru Mizushima},
TITLE = {Circle packings on complex affine tori},
JOURNAL = {Osaka J. Math.},
VOLUME = {37},
YEAR = {2000},
PAGES = {873--881}
) %CP

@ARTICLE(bM93, 
AUTHOR = {Bojan Mohar},
TITLE = {A polynomial time circle packing algorithm},
JOURNAL = {Discrete Math.},  
VOLUME = {117},   
YEAR = {1993},  
PAGES = {257--263}
)   %CP

@INCOLLECTION(jM84, 
AUTHOR = {John W. Morgan},
TITLE = {On {Thurston's} uniformization theorem for three-dimensional 
manifolds},
BOOKTITLE = {The Smith Conjecture},  
YEAR = {1984},
PUBLISHER = {Academic Press},
ADDRESS = {New York},  
EDITOR = {Hyman Bass and John W. Morgan},  
PAGES = {37--126}
)   %CP

@ARTICLE(fM37, 
AUTHOR = {Frank Morley},
TITLE = {The Hexlet},  
JOURNAL = {January 9, Nature},  
YEAR = {1937},
PAGES = {72--73}
)   %CP

@INCOLLECTION(bN92b, 
AUTHOR = {Barbara Nimershiem},
TITLE = {Isometry classes of flat 2-tori appearing as cusps of hyperbolic 3-manifolds are dense in the moduli space of the torus}, 
BOOKTITLE = {Low-Dimensional Topology},
NOTE = {Knoxville},
ADDRESS = {Boston}, 
YEAR = {1992}, 
EDITOR = {K. Johannson},  
PUBLISHER = {International Press} 
)   %CP

@PHDTHESIS(iR86, 
AUTHOR = {I. Rivin},
TITLE = {On geometry of convex polyhedra in hyperbolic 3-space},
SCHOOL = {Princeton},  
YEAR = {1986}
)   %CP

@ARTICLE(RS87, 
AUTHOR = {Burt Rodin and Dennis Sullivan},
TITLE = {The convergence of circle packings to the {Riemann} mapping},  
JOURNAL = {J. Differential Geometry},  
VOLUME = {26},  
YEAR = {1987},
PAGES = {349--360}
)   %CP

@ARTICLE(bR87, 
AUTHOR = {Burt Rodin},
TITLE = {Schwarz's lemma for circle packings},
JOURNAL = {Invent. Math.},  
VOLUME = {89},  
YEAR = {1987},  
PAGES = {271--289}
)   %CP

@ARTICLE(bR89, 
AUTHOR = {Burt Rodin},
TITLE = {Schwarz's lemma for circle packings {II}},
JOURNAL = {J. Differential Geometry},  
VOLUME = {30},  
YEAR = {1989},  
PAGES = {539--554}
)   %CP

@ARTICLE(bR91, 
AUTHOR = {Burt Rodin},
TITLE = {On a problem of {A.} {Beardon} and {K. Stephenson}},
JOURNAL = {Indiana Univ. Math. J.},  
VOLUME = {40},  
YEAR = {1991},  
PAGES = {271--275}
)   %CP

@ARTICLE(RK89, 
AUTHOR = {F. Rothen and A.-J.~Koch},
TITLE = {Phyllotaxis or the properties of spiral lattices. {II}. 
Packing of circles along logarithmic spirals},  
JOURNAL = {J. Phys. France},  
VOLUME = {50},  
YEAR = {1989},
PAGES = {1603--1621}
)   %CP

@ARTICLE(tR98,
AUTHOR = {Tony Rothman},
TITLE = {Japanese Temple Geometry},
JOURNAL = {Scientific American},
YEAR = {1998},
VOL = {May}
) %CP

@ARTICLE(hSa94, 
AUTHOR = {Horst Sachs},
TITLE = {Coin graphs, polyhedra, and conformal mapping},
JOURNAL = {Discrete Math.},
VOLUME = {134},
PAGES = {133--138},
YEAR = {1994}
)  %CP

@PHDTHESIS(oS90, 
AUTHOR = {Oded Schramm},
TITLE = {Packing two-dimensional bodies with prescribed combinatorics and applications to the construction of conformal and quasiconformal mappings},
SCHOOL = {Princeton},  
YEAR = {1990}
)   %CP

@ARTICLE(oS91a, 
AUTHOR = {Oded Schramm},
TITLE = {Existence and uniqueness of packings with specified combinatorics},
JOURNAL = {Israel J. Math.},  
YEAR = {1991},  
VOLUME = {73},
PAGES = {321--341}
)   %CP

@ARTICLE(oS91b, 
AUTHOR = {Oded Schramm},
TITLE = {Rigidity of infinite (circle) packings},
JOURNAL = {Journal Amer. Math. Soc.},  
VOLUME = {4},  
YEAR = {1991},  
PAGES = {127--149}
)   %CP

@ARTICLE(oS96, 
AUTHOR = {Oded Schramm},
TITLE = {Conformal uniformization and packings},
JOURNAL = {Israel J. Math.},
VOLUME = {93},
YEAR = {1996},
PAGES = {399--428}
)   %CP

@ARTICLE(BSc96, 
AUTHOR = {I.~Benjamini and O.~Schramm}, 
TITLE = {Harmonic functions on planar and almost planar graphs and manifolds, 
via circle packings}, 
JOURNAL = {Invent. Math.},
VOLUME = {126},
YEAR = {1996},
PAGES = {565--587}
)   %CP

@ARTICLE(oS97, 
AUTHOR = {Oded Schramm},
TITLE = {Circle patterns with the combinatorics of the square
grid},
JOURNAL = {Duke Math. J.},
VOLUME = {86},
YEAR = {1997},
PAGES = {347--389}
)   %CP

@ARTICLE(JS00,
AUTHOR = {Johan Jonasson and Oded Schramm}, 
TITLE = {On the cover time of planar graphs},
JOURNAL = {Electron. Comm. Probab.},
YEAR = {2000},
VOLUME = {5},
PAGES = {85--90},
NOTE = {paper no. 10}
)  %CP

@ARTICLE(rS98, 
AUTHOR = {Ryan Siders},
TITLE = {Layered circlepackings and the type problem},
JOURNAL = {Proc. Amer. Math. Soc.},  
YEAR = {1998},  
VOLUME = {126},
NUMBER = {10},  
PAGES = {3071--3074}
)  %CP

@ARTICLE(fS36a, 
AUTHOR = {F. Soddy},
TITLE = {The {Kiss} {Precise}},  
JOURNAL = {Nature},  
YEAR = {June 20, 1936},
NOTE = {poem},
PAGES = {1021}
)   %CP

@ARTICLE(fS36b, 
AUTHOR = {F. Soddy},
TITLE = {The {Hexlet}},  
JOURNAL = {Nature},  
YEAR = {December 5, 1936},
NOTE = {poem},
PAGES = {958}
)   %CP

@ARTICLE(fS37, 
AUTHOR = {F. Soddy},
TITLE = {The bowl of integers and the hexlet},  
JOURNAL = {January 9, Nature},  
YEAR = {1937},
PAGES = {77--79}
)   %CP

@ARTICLE(boS92, 
AUTHOR = {Bo S\"oderberg},
TITLE = {Apollonian tiling, the {Lorentz} group, and regular trees},
JOURNAL = {Phys. Rev. A},  
YEAR = {15 August, 1992},
VOLUME = {46},
PAGES = {1859--1866}
)   %CP

@ARTICLE(kS90, 
AUTHOR = {Kenneth Stephenson},
TITLE = {Circle packings in the approximation of conformal mappings},  
JOURNAL = {Bulletin, Amer. Math. Soc. (Research Announcements)},  
VOLUME = {23, no. 2},  
YEAR = {1990},  
PAGES = {407--415}
)   %CP

@MISC(kS-tc, 
AUTHOR = {Kenneth Stephenson},
TITLE = {Circle Packings: Existence and Uniqueness}, 
HOWPUBLISHED = {Notes for REU course, Summer 1994, University of Tennessee}
)   %CP 

@ARTICLE(kS92,
AUTHOR = {Kenneth Stephenson},
TITLE = {{\tt CirclePack} software},
YEAR = {1992-2005},
NOTE = {http://www.math.utk.edu/$\sim$kens}
) %CP

@ARTICLE(kS96, 
AUTHOR = {Kenneth Stephenson},
TITLE = {A Probabilistic proof of {Thurston's} conjecture on circle packings},
JOURNAL = {Rendiconti del Seminario Mate. e Fisico di Milano},
VOLUME = {LXVI},
YEAR = {1996},
PAGES = {201--291}
)    %CP

@INPROCEEDINGS(kS99,
AUTHOR = {Kenneth Stephenson},
TITLE = {Approximation of conformal structures via circle packing},
BOOKTITLE = {Computational Methods and Function Theory 1997,
Proceedings of the Third CMFT Conference},
EDITOR = {N.~Papamichael and St.~Ruscheweyh and E.~B.~Saff},
YEAR = {1999},
PAGES = {551--582},
VOLUME = {11},
PUBLISHER = {World Scientific}
) %CP

@INCOLLECTION(kS02, 
AUTHOR = {Kenneth Stephenson},
EDITOR = {R. K\"uhnau},
TITLE = {Circle Packing and Discrete Analytic Function Theory},
BOOKTITLE = {Handbook of Complex Analysis, Vol. 1: Geometric Function
Theory},
PUBLISHER = {Elsevier},
YEAR = {2002},
NOTE = {Chapter 11}
) %CP

@BOOK(kS05,
AUTHOR = {Kenneth Stephenson},
TITLE = {Introduction to Circle Packing: the Theory of Discrete
Analytic Functions},
PUBLISHER = {Camb. Univ. Press},
YEAR = {2005},
ADDRESS = {New York},
NOTE = {ISBN 0-521-82356-0, QA640.7.S74}
) %CP

@ARTICLE(kS03,
AUTHOR = {Kenneth Stephenson},
TITLE = {Circle Packing: A Mathematical Tale},
JOURNAL = {Notices Amer. Math. Soc.},
PUBLISHER = {Amer. Math. Society},
VOLUME = {50},
NUMBER = {11},
PAGES = {1376--1388},
YEAR = {2003}
) %CP

@BOOK(wT-t, 
AUTHOR = {William Thurston},  
TITLE = {The Geometry and Topology of 3-Manifolds},
PUBLISHER = {Princeton University Notes},
YEAR = {},
NOTE = {preprint}
)   %CP

@MISC(wT85, 
AUTHOR = {William Thurston},
TITLE = {The finite {Riemann} mapping theorem},
YEAR = {1985},
NOTE = {Invited talk, An International Symposium at Purdue University 
in celebrations of de Branges' proof of the Bieberbach conjecture, 
March 1985}
)   %CP

@ARTICLE(lfT77, 
AUTHOR = {L. Fejes Toth},
TITLE = {Research Problems},
JOURNAL = {Period. Math. Hungar},  
VOLUME = {8},  
YEAR = {1977},  
PAGES = {103--104},
NOTE = {submitted question}
)   %CP 

@ARTICLE(jvE94, 
AUTHOR = {Jeff van Eeuwen},
TITLE = {The discrete {Schwarz-Pick} lemma for overlapping circles},  
JOURNAL = {PAMS},  
VOLUME = {121},  
YEAR = {1994},  
PAGES = {1087--1091}
)   %CP

@ARTICLE(rW56,
AUTHOR = {Richard Wagner},
TITLE = {Ein Kontaktproblem der konformen Abbildung},
JOURNAL = {J. Reine Angew. Math.},
VOLUME = {196},
YEAR = {1956},
PAGES = {99--132}
) %CP

@PHDTHESIS(gbW99, 
AUTHOR = {George Brock Williams},
TITLE = {Discrete conformal welding},
SCHOOL = {University of Tennessee, Knoxville},
NOTE = {(advisor: Ken Stephenson)},
YEAR = {1999}
)   %CP

@ARTICLE(gbW01,
AUTHOR = {George Brock Williams},
TITLE = {Earthquakes and  circle packings},  
JOURNAL = {J. Anal. Math.},  
YEAR = {2001},  
VOLUME = {85},
PAGES = {371--396}
)  %CP

@ARTICLE(gbW01a, 
AUTHOR = {George Brock Williams},
TITLE = {Approximation of quasisymmetries using circle packings},  
JOURNAL = {Discrete Comput. Geom.},  
YEAR = {2001},
VOLUME = {25},
PAGES = {103-124}
)  %CP
{http://link.springer-ny.com/link/service/journals/00454/contents/00/10067}

@ARTICLE(BW02,
AUTHOR = {Roger Barnard and George Brock Williams},
TITLE = {Combinatorial excursions in moduli space},  
JOURNAL = {Pacific J. Math.},
VOLUME = {205},
YEAR = {2002},  
PAGES = {3--30}
)  %CP

@ARTICLE(gbW03,
AUTHOR = {George Brock Williams},
TITLE = {Noncompact surfaces are packable},  
JOURNAL = {J. Anal. Math.},  
VOLUME = {90},
YEAR = {2003},  
PAGES = {243--255}
)  %CP

@ARTICLE(gbW04,
AUTHOR = {George Brock Williams},
TITLE = {Discrete conformal welding},
JOURNAL = {Indiana Univ. Math. J.},  
YEAR = {2004},
VOLUME = {53},  
PAGES = {765--804}
)  %CP

@ARTICLE{gbW02-t,
AUTHOR = {G.~Brock Williams},
TITLE = {A Circle Packing Measureable {R}iemann Mapping Theorem},
JOURNAL = {},
YEAR = {},
NOTE = {preprint}
} %CP