13 search results - page 1 / 3 » Acyclic and Frugal Colourings of Graphs |
COLOGNETWENTE
2009
13 years 8 months ago
2009
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...
CORR
2007
Springer
13 years 7 months ago
2007
Springer
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...
AAIM
2007
Springer
14 years 1 months ago
2007
Springer
An acyclic edge colouring of a graph is a proper edge colouring having no 2-coloured cycle, that is, a colouring in which the union of any two colour classes forms a linear forest...
JCT
2010
13 years 6 months ago
2010
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...
DM
2010
13 years 7 months ago
2010
For graphs of bounded maximum degree, we consider acyclic t-improper colourings, that is, colourings in which each bipartite subgraph consisting of the edges between two colour cl...