18 search results - page 2 / 4 » Total coloring of planar graphs of maximum degree eight |
DAM
1999
13 years 5 months ago
1999
The definitions of four previously studied parameters related to total coverings and total matchings of graphs can be restricted, thereby obtaining eight parameters related to cov...
SODA
2000
ACM
13 years 6 months ago
2000
ACM
We give nontrivial bounds for the inductiveness or degeneracy of power graphs Gk of a planar graph G. This implies bounds for the chromatic number as well, since the inductiveness ...
WG
2001
Springer
13 years 10 months ago
2001
Springer
In a graph coloring, each color class induces a disjoint union of isolated vertices. A graph subcoloring generalizes this concept, since here each color class induces a disjoint un...
ISAAC
2004
Springer
13 years 11 months ago
2004
Springer
We study complexity and approximation of min weighted node coloring in planar, bipartite and split graphs. We show that this problem is NP-complete in planar graphs, even if they a...
DM
2010
13 years 5 months ago
2010
Let Mad(G) denote the maximum average degree (over all subgraphs) of G and let i(G) denote the injective chromatic number of G. We prove that if Mad(G) 5 2 , then i(G) + 1; sim...