18 search results - page 3 / 4 » Total coloring of planar graphs of maximum degree eight |
COCOON
2005
Springer
13 years 11 months ago
2005
Springer
We consider the problem of finding a balanced ordering of the vertices of a graph. More precisely, we want to minimise the sum, taken over all vertices v, of the difference betwe...
JGT
2008
13 years 6 months ago
2008
The square G2 of a graph G is the graph with the same vertex set as G and with two vertices adjacent if their distance in G is at most 2. Thomassen showed that for a planar graph ...
ENDM
2007
13 years 6 months ago
2007
For a graph G and an integer t we let mcct(G) be the smallest m such that there exists a coloring of the vertices of G by t colors with no monochromatic connected subgraph having ...
CORR
2010
Springer
13 years 4 months ago
2010
Springer
Let G = (V, E) be a graph. Let c : V → N be a vertex-coloring of the vertices of G. For any vertex u, we denote by N[u] its closed neighborhood (u and its adjacent vertices), an...
ESA
2008
Springer
13 years 8 months ago
2008
Springer
We consider two generalizations of the edge coloring problem in bipartite graphs. The first problem we consider is the weighted bipartite edge coloring problem where we are given a...