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» Frugal Colouring of Graphs
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EOR
2006
57views more  EOR 2006»
13 years 9 months ago
Routing and wavelength assignment by partition colouring
The problem of routing and wavelength assignment in all-optical networks may be solved by a combined approach involving the computation of alternative routes for the lightpaths, f...
Thiago F. Noronha, Celso C. Ribeiro
FCT
2009
Springer
14 years 3 months ago
Martingales on Trees and the Empire Chromatic Number of Random Trees
We study the empire colouring problem (as defined by Percy Heawood in 1890) for maps whose dual planar graph is a tree, with empires formed by exactly r countries. We prove that, ...
Colin Cooper, Andrew R. A. McGrae, Michele Zito
WDAG
2000
Springer
112views Algorithms» more  WDAG 2000»
14 years 16 days ago
More Lower Bounds for Weak Sense of Direction: The Case of Regular Graphs
A graph G with n vertices and maximum degree G cannot be given weak sense of direction using less than G colours. It is known that n colours are always sufficient, and it was conje...
Paolo Boldi, Sebastiano Vigna
DM
2010
108views more  DM 2010»
13 years 9 months ago
Grundy number and products of graphs
The Grundy number of a graph G, denoted by (G), is the largest k such that G has a greedy k-colouring, that is a colouring with k colours obtained by applying the greedy algorithm...
Marie Asté, Frédéric Havet, C...
JCT
2008
101views more  JCT 2008»
13 years 9 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