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We give a criterion for vertex extremal length parabolicity of locally finite planar graphs, and use it to show that a disk triangulation graph is circle packing parabolic if and only if its immediate finer graphs are circle packing parabolic.
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참고문헌 (12)
참고문헌 신청
B. Rodin / 1987 / The convergence of circle packings to the Riemann mapping / J. Differential Geom. 26 (2) : 349 ~ 360
J.W. Cannon / 1994 / The combinatorial Riemann mapping theorem / Acta Math. 173 : 155 ~ 234
K. Stephenson / 2003 / Circle packing: a mathematical tale / Notices Amer. Math. Soc. 50 (11) : 1376 ~ 1388
K. Stephenson / 2005 / Introduction to circle packing; the theory of discrete analytic functions / Cambridge University Press
L. Ahlfors / 1973 / Conformal Invariants / McGraw-Hill
J.W. Cannon / 1994 / The combinatorial Riemann mapping theorem / Acta Math. 173 : 155 ~ 234
K. Stephenson / 2003 / Circle packing: a mathematical tale / Notices Amer. Math. Soc. 50 (11) : 1376 ~ 1388
K. Stephenson / 2005 / Introduction to circle packing; the theory of discrete analytic functions / Cambridge University Press
L. Ahlfors / 1973 / Conformal Invariants / McGraw-Hill
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