112 search results - page 1 / 23 » An edge colouring of multigraphs |
CSJM
2007
13 years 7 months ago
2007
We consider a strict k-colouring of a multigraph G as a surjection f from the vertex set of G into a set of colours {1,2,. . . ,k} such that, for every non-pendant vertex x of G, ...
ENTCS
2008
13 years 7 months ago
2008
In this paper, we define labeled multigraphs with ports, a graph model which specifies connection points for nodes and allows multiple edges and loops. The dynamic evolution of th...
DM
2008
13 years 7 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...
DM
1998
13 years 7 months ago
1998
We consider edge-coloured multigraphs. A trail in such a multigraph is alternating if its successive edges differ in colour. Let G be a 2-edge-coloured complete graph and let M b...
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...