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» On the Grundy Number of a Graph
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DM
2010
108views more  DM 2010»
13 years 4 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...
IWPEC
2010
Springer
13 years 2 months ago
On the Grundy Number of a Graph
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 ...
Frédéric Havet, Leonardo Sampaio
SIAMDM
2008
154views more  SIAMDM 2008»
13 years 4 months ago
On the First-Fit Chromatic Number of Graphs
The first-fit chromatic number of a graph is the number of colors needed in the worst case of a greedy coloring. It is also called the Grundy number, which is defined to be the max...
József Balogh, Stephen G. Hartke, Qi Liu, G...
JAL
2002
99views more  JAL 2002»
13 years 4 months ago
Kayles and Nimbers
Kayles is a combinatorial game on graphs. Two players select alternatingly a vertex from a given graph G - a chosen vertex may not be adjacent or equal to an already chosen vertex...
Hans L. Bodlaender, Dieter Kratsch
ARSCOM
2006
102views more  ARSCOM 2006»
13 years 4 months ago
Fractal Sequences and Restricted Nim
The Grundy number of an impartial game G is the size of the unique Nim heap equal to G. We introduce a new variant of Nim, Restricted Nim, which restricts the number of stones a p...
Lionel Levine