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» On the Quantum Chromatic Number of a Graph
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MP
2010
149views more  MP 2010»
13 years 6 months ago
Copositive programming motivated bounds on the stability and the chromatic numbers
The Lov´asz theta number of a graph G can be viewed as a semidefinite programming relaxation of the stability number of G. It has recently been shown that a copositive strengthe...
Igor Dukanovic, Franz Rendl
GC
2008
Springer
13 years 7 months ago
On the Acyclic Chromatic Number of Hamming Graphs
An acyclic coloring of a graph G is a proper coloring of the vertex set of G such that G contains no bichromatic cycles. The acyclic chromatic number of a graph G is the minimum nu...
Robert E. Jamison, Gretchen L. Matthews
JGT
2006
114views more  JGT 2006»
13 years 7 months ago
The chromatic covering number of a graph
Following [1], we investigate the problem of covering a graph G with induced subgraphs G1, . . . , Gk of possibly smaller chromatic number, but such that for every vertex u of G, ...
Reza Naserasr, Claude Tardif
CORR
2010
Springer
92views Education» more  CORR 2010»
13 years 7 months ago
On Packing Colorings of Distance Graphs
The packing chromatic number (G) of a graph G is the least integer k for which there exists a mapping f from V (G) to {1, 2, . . ., k} such that any two vertices of color i
Olivier Togni
ENDM
2007
91views more  ENDM 2007»
13 years 7 months ago
Game chromatic number of Cartesian product graphs
We find exact values for the game chromatic number of the Cartesian product graphs Sm Pn, Sm Cn, P2 Wn, and P2 Km,n. This extends previous results of Bartnicki et al. on the game...
Iztok Peterin