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» Coloring Vertices and Faces of Locally Planar Graphs
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JCT
2002
93views more  JCT 2002»
13 years 8 months ago
Coloring Locally Bipartite Graphs on Surfaces
It is proved that there is a function f : N N such that the following holds. Let G be a graph embedded in a surface of Euler genus g with all faces of even size and with edge-wid...
Bojan Mohar, Paul D. Seymour
DM
2002
97views more  DM 2002»
13 years 8 months ago
Resonance graphs of catacondensed even ring systems are median
Let G be a planar embedded 2-connected graph. Then the vertices of its resonance graph R(G) are the 1-factors of G, two 1-factors being adjacent whenever their symmetric differenc...
Sandi Klavzar, Petra Zigert, Gunnar Brinkmann
COCOA
2010
Springer
13 years 6 months ago
Listing Triconnected Rooted Plane Graphs
A plane graph is a drawing of a planar graph in the plane such that no two edges cross each other. A rooted plane graph has a designated outer vertex. For given positive integers ...
Bingbing Zhuang, Hiroshi Nagamochi
AUSAI
2003
Springer
14 years 1 months ago
A New Hybrid Genetic Algorithm for the Robust Graph Coloring Problem
Abstract. The RGCP (Robust Graph Coloring problem) is a new variant of the traditional graph coloring problem. It has numerous practical applications in real world like timetabling...
Ying Kong, Fan Wang, Andrew Lim, Songshan Guo
JGT
2007
73views more  JGT 2007»
13 years 8 months ago
New bounds on the edge number of a k-map graph
It is known that for every integer k ≥ 4, each k-map graph with n vertices has at most kn − 2k edges. Previously, it was open whether this bound is tight or not. We show that ...
Zhi-Zhong Chen