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» On the Quantum Chromatic Number of a Graph
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IWOCA
2009
Springer
157views Algorithms» more  IWOCA 2009»
14 years 2 months ago
Forbidden Subgraph Colorings and the Oriented Chromatic Number
: We present an improved upper bound of O(d1+ 1 m−1 ) for the (2, F)-subgraph chromatic number χ2,F (G) of any graph G of maximum degree d. Here, m denotes the minimum number of...
N. R. Aravind, C. R. Subramanian
APAL
1998
71views more  APAL 1998»
13 years 7 months ago
On the Finiteness of the Recursive Chromatic Number
A recursive graph is a graph whose vertex and edges sets are recursive. A highly recursive graph is a recursive graph that also has the following property: one can recursively det...
William I. Gasarch, Andrew C. Y. Lee
JGT
2010
117views more  JGT 2010»
13 years 6 months ago
An approximate version of Hadwiger's conjecture for claw-free graphs
Hadwiger’s conjecture states that every graph with chromatic number χ has a clique minor of size χ. In this paper we prove a weakened version of this conjecture for the class ...
Maria Chudnovsky, Alexandra Ovetsky Fradkin
DM
1998
69views more  DM 1998»
13 years 7 months ago
A study of the total chromatic number of equibipartite graphs
The total chromatic number zt(G) of a graph G is the least number of colors needed to color the vertices and edges of G so that no adjacent vertices or edges receive the same colo...
Bor-Liang Chen, Chun-Kan Cheng, Hung-Lin Fu, Kuo-C...
DAM
2008
134views more  DAM 2008»
13 years 7 months ago
Efficient algorithms for finding critical subgraphs
This paper presents algorithms to find vertex-critical and edgecritical subgraphs in a given graph G, and demonstrates how these critical subgraphs can be used to determine the ch...
Christian Desrosiers, Philippe Galinier, Alain Her...