13 search results - page 1 / 3 » Properly Edge-Coloured Subgraphs in Colourings of Bounded De... |
GC
2011
Springer
13 years 2 months ago
2011
Springer
The smallest n such that every colouring of the edges of Kn must contain a monochromatic star K1,s+1 or a properly edge-coloured Kt is denoted by f(s, t). Its existence is guarant...
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...
DM
2010
13 years 7 months ago
2010
We introduce the concept of an edge-colouring total k-labelling. This is a labelling of the vertices and the edges of a graph G with labels 1, 2, . . . , k such that the weights o...
SIROCCO
2007
13 years 9 months ago
2007
The focus of the present paper is on providing a local deterministic algorithm for colouring the edges of Yao-like subgraphs of Unit Disc Graphs. These are geometric graphs such t...
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...