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» Mapping planar graphs into the Coxeter graph
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ALGORITHMICA
2006
103views more  ALGORITHMICA 2006»
14 years 9 months ago
Recognizing Hole-Free 4-Map Graphs in Cubic Time
We present a cubic-time algorithm for the following problem: Given a simple graph, decide whether it is realized by adjacencies of countries in a map without holes, in which at mo...
Zhi-Zhong Chen, Michelangelo Grigni, Christos H. P...
JACM
2002
93views more  JACM 2002»
14 years 9 months ago
Map graphs
We consider a modified notion of planarity, in which two nations of a map are considered adjacent when they share any point of their boundaries (not necessarily an edge, as planar...
Zhi-Zhong Chen, Michelangelo Grigni, Christos H. P...
JCT
2007
140views more  JCT 2007»
14 years 9 months ago
Homomorphisms and edge-colourings of planar graphs
We conjecture that every planar graph of odd-girth 2k + 1 admits a homomorphism to Cayley graph C(Z2k+1 2 , S2k+1), with S2k+1 being the set of (2k + 1)vectors with exactly two co...
Reza Naserasr
GD
2007
Springer
15 years 3 months ago
Universal Sets of n Points for 1-Bend Drawings of Planar Graphs with n Vertices
This paper shows that any planar graph with n vertices can be point-set embedded with at most one bend per edge on a universal set of n points in the plane. An implication of this ...
Hazel Everett, Sylvain Lazard, Giuseppe Liotta, St...
DCG
2010
135views more  DCG 2010»
14 years 9 months ago
Universal Sets of n Points for One-bend Drawings of Planar Graphs with n Vertices
This paper shows that any planar graph with n vertices can be point-set embedded with at most one bend per edge on a universal set of n points in the plane. An implication of this...
Hazel Everett, Sylvain Lazard, Giuseppe Liotta, St...