6 search results - page 1 / 2 » Domination in Graphs of Minimum Degree at least Two and Larg... |
GC
2008
Springer
13 years 4 months ago
2008
Springer
We prove that for graphs of order n, minimum degree 2 and girth g 5 the domination number satisfies 1 3 + 2 3g n. As a corollary this implies that for cubic graphs of order n ...
CPC
2007
13 years 4 months ago
2007
In 1972, M. Rosenfeld asked if every triangle-free graph could be embedded in the unit sphere Sd in such a way that two vertices joined by an edge have distance more than √ 3 (i...
COMBINATORICS
2006
13 years 4 months ago
2006
A set M of edges of a graph G is a matching if no two edges in M are incident to the same vertex. The matching number of G is the maximum cardinality of a matching of G. A set S o...
JCO
2008
13 years 4 months ago
2008
Minimum m-connected k-dominating set problem is as follows: Given a graph G = (V,E) and two natural numbers m and k, find a subset S V of minimal size such that every vertex in V ...
ALGORITHMICA
1998
13 years 4 months ago
1998
The dominatingset problemin graphs asks for a minimumsize subset of vertices with the followingproperty: each vertex is required to either be in the dominating set, or adjacent to...