Sciweavers

157 search results - page 1 / 32
» Frugal Colouring of Graphs
Sort
View
CORR
2007
Springer
116views Education» more  CORR 2007»
14 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
15 years 24 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»
14 years 10 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
14 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
16 years 9 months ago
Graph Theory
A well-written book about graph theory.
Reinhard Diestel