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» On the Grundy Number of a Graph
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IPL
2007
94views more  IPL 2007»
13 years 7 months ago
A note on the Hadwiger number of circular arc graphs
Abstract. The intention of this note is to motivate the researchers to study Hadwiger’s conjecture for circular arc graphs. Let η(G) denote the largest clique minor of a graph G...
N. S. Narayanaswamy, Naveen Belkale, L. Sunil Chan...
APPML
2011
13 years 2 months ago
The fractional chromatic number of Zykov products of graphs
Zykov designed one of the oldest known family of triangle-free graphs with arbitrarily high chromatic number. We determine the fractional chromatic number of the Zykov product of ...
Pierre Charbit, Jean-Sébastien Sereni
STOC
2001
ACM
143views Algorithms» more  STOC 2001»
14 years 8 months ago
Computing crossing numbers in quadratic time
We show that for every fixed ? there is a quadratic time algorithm that decides whether a given graph has crossing number at most and, if this is the case, computes a drawing of t...
Martin Grohe
JCT
2008
70views more  JCT 2008»
13 years 7 months ago
The number of possibilities for random dating
Let G be a regular graph and H a subgraph on the same vertex set. We give surprisingly compact formulas for the number of copies of H one expects to find in a random subgraph of G...
Aaron Abrams, Rod Canfield, Andrew Granville
COMBINATORICS
2004
108views more  COMBINATORICS 2004»
13 years 7 months ago
On the Chromatic Number of Intersection Graphs of Convex Sets in the Plane
Let G be the intersection graph of a finite family of convex sets obtained by translations of a fixed convex set in the plane. We show that every such graph with clique number k i...
Seog-Jin Kim, Alexandr V. Kostochka, Kittikorn Nak...