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CORR
2007
Springer
116views Education» more  CORR 2007»
13 years 11 months ago
Frugal Colouring of Graphs
A k-frugal colouring of a graph G is a proper colouring of the vertices of G such that no colour appears more than k times in the neighbourhood of a vertex. This type of colouring...
Omid Amini, Louis Esperet, Jan van den Heuvel
COLOGNETWENTE
2009
14 years 8 days ago
Acyclic and Frugal Colourings of Graphs
Given a graph G = (V, E), a proper vertex colouring of V is t-frugal if no colour appears more than t times in any neighbourhood and is acyclic if each of the bipartite graphs con...
Ross J. Kang, Tobias Müller
JCT
2010
101views more  JCT 2010»
13 years 9 months ago
Asymptotically optimal frugal colouring
We prove that every graph with maximum degree ∆ can be properly (∆ + 1)coloured so that no colour appears more than O(log ∆/ log log ∆) times in the neighbourhood of any v...
Michael Molloy, Bruce A. Reed
IWPEC
2010
Springer
13 years 9 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

Book
1174views
15 years 9 months ago
Graph Theory
A well-written book about graph theory.
Reinhard Diestel