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» On the Grundy Number of a Graph
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JCT
2008
84views more  JCT 2008»
13 years 10 months ago
Minimally non-Pfaffian graphs
We consider the question of characterizing Pfaffian graphs. We exhibit an infinite family of non-Pfaffian graphs minimal with respect to the matching minor relation. This is in sha...
Serguei Norine, Robin Thomas
STOC
1990
ACM
135views Algorithms» more  STOC 1990»
14 years 2 months ago
A Separator Theorem for Graphs with an Excluded Minor and its Applications
ions (Extended Abstract) Noga Alon Paul Seymour Robin Thomas Let G be an n-vertex graph with nonnegative weights whose sum is 1 assigned to its vertices, and with no minor isomorp...
Noga Alon, Paul D. Seymour, Robin Thomas
WG
1994
Springer
14 years 2 months ago
Fugitive-Search Games on Graphs and Related Parameters
The goal of a fugitive-search game on a graph is to trap a fugitive that hides on the vertices of the graph by systematically placing searchers on the vertices. The fugitive is as...
Nick D. Dendris, Lefteris M. Kirousis, Dimitrios M...
PR
2008
206views more  PR 2008»
13 years 10 months ago
A study of graph spectra for comparing graphs and trees
The spectrum of a graph has been widely used in graph theory to characterise the properties of a graph and extract information from its structure. It has also been employed as a g...
Richard C. Wilson, Ping Zhu
ICIP
2002
IEEE
14 years 11 months ago
On the non-optimality of four color coding of image partitions
Recent interest in region based image coding has given rise to graph coloring based partition encoding methods. These methods are based on the four color theorem for planar graphs...
Sameer Agarwal, Serge Belongie