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» On the Quantum Chromatic Number of a Graph
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JCT
2008
101views more  JCT 2008»
14 years 11 months ago
Refined activation strategy for the marking game
This paper introduces a new strategy for playing the marking game on graphs. Using this strategy, we prove that if G is a planar graph, then the game colouring number of G, and he...
Xuding Zhu
DAM
2010
116views more  DAM 2010»
14 years 11 months ago
Minimum sum edge colorings of multicycles
In the minimum sum edge coloring problem, we aim to assign natural numbers to edges of a graph, so that adjacent edges receive different numbers, and the sum of the numbers assign...
Jean Cardinal, Vlady Ravelomanana, Mario Valencia-...
JGT
2008
69views more  JGT 2008»
14 years 11 months ago
List colorings with measurable sets
The measurable list chromatic number of a graph G is the smallest number such that if each vertex v of G is assigned a set L(v) of measure in a fixed atomless measure space, the...
Jan Hladký, Daniel Král, Jean-S&eacu...
ALGORITHMICA
2002
159views more  ALGORITHMICA 2002»
14 years 11 months ago
Algorithmic Aspects of Acyclic Edge Colorings
A proper coloring of the edges of a graph G is called acyclic if there is no 2-colored cycle in G. The acyclic edge chromatic number of G, denoted by a (G), is the least number of...
Noga Alon, Ayal Zaks
ENDM
2007
149views more  ENDM 2007»
14 years 11 months ago
Oriented vertex and arc colorings of partial 2-trees
d Abstract) Pascal Ochem∗, Alexandre Pinlou† LaBRI, Université Bordeaux 1, 351, Cours de la Libération, 33405 Talence Cedex, France March 16, 2007 A homomorphism from an ori...
Pascal Ochem, Alexandre Pinlou