31 search results - page 5 / 7 » Colouring Vertices of Triangle-Free Graphs |
DAM
1998
14 years 9 months ago
1998
We consider edge-coloured complete graphs. A path or cycle Q is called properly coloured (PC) if any two adjacent edges of Q differ in colour. Our note is inspired by the followi...
74
Voted
DM
2010
14 years 9 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...
DM
2008
14 years 9 months ago
2008
In edge colouring it is often useful to have information about the degree distribution of the neighbours of a given vertex. For example, the well known Vizing's Adjacency Lem...
90
Voted
GD
2004
Springer
15 years 2 months ago
2004
Springer
A k-stack layout (respectively, k-queue layout) of a graph consists of a total order of the vertices, and a partition of the edges into k sets of non-crossing (non-nested) edges wi...
COCOON
2006
Springer
15 years 1 months ago
2006
Springer
We present an efficient reduction mapping undirected graphs G with n = 2k vertices for integers k to tables of partially specified Boolean functions g : {0, 1}4k+1 {0, 1, } so tha...