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» The Chromatic Number Of Graph Powers
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ALGORITHMICA
2002
159views more  ALGORITHMICA 2002»
13 years 7 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»
13 years 7 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
CC
2006
Springer
133views System Software» more  CC 2006»
13 years 7 months ago
The complexity of chromatic strength and chromatic edge strength
The sum of a coloring is the sum of the colors assigned to the vertices (assuming that the colors are positive integers). The sum (G) of graph G is the smallest sum that can be ach...
Dániel Marx
IPL
2008
145views more  IPL 2008»
13 years 7 months ago
Complexity analysis of a decentralised graph colouring algorithm
Colouring a graph with its chromatic number of colours is known to be NP-hard. Identifying an algorithm in which descisions are made locally with no information about the graph�...
Ken R. Duffy, N. O'Connell, Artëm Sapozhnikov
ENDM
2007
68views more  ENDM 2007»
13 years 7 months ago
List Colouring Squares of Planar Graphs
In 1977, Wegner conjectured that the chromatic number of the square of every planar graph G with maximum degree ∆ ≥ 8 is at most 3
Frédéric Havet, Jan van den Heuvel, ...