29 search results - page 1 / 6 » The b-Chromatic Number of Cubic Graphs |
GC
2010
Springer
13 years 9 months ago
2010
Springer
The b-chromatic number of a graph G is the largest integer k such that G admits a proper k-coloring in which every color class contains at least one vertex adjacent to some vertex...
MFCS
2004
Springer
14 years 4 months ago
2004
Springer
It was proved by [Garey and Johnson, 1983] that computing the crossing number of a graph is an NP-hard problem. Their reduction, however, used parallel edges and vertices of very h...
EJC
2010
13 years 11 months ago
2010
WAOA
2007
Springer
14 years 5 months ago
2007
Springer
For a connected graph G, let L(G) denote the maximum number of leaves in a spanning tree in G. The problem of computing L(G) is known to be NP-hard even for cubic graphs. We improv...
DM
2008
13 years 11 months ago
2008
We prove that a K4-free graph G of order n, size m and maximum degree at most three has an independent set of cardinality at least 1 7 (4n - m - - tr) where counts the number of c...