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» Bounds on the signed domination number of a graph
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GC
2008
Springer
14 years 11 months ago
Domination in Graphs of Minimum Degree at least Two and Large Girth
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 ...
Christian Löwenstein, Dieter Rautenbach
COMBINATORICA
2007
81views more  COMBINATORICA 2007»
14 years 11 months ago
Total domination of graphs and small transversals of hypergraphs
The main result of this paper is that every 4-uniform hypergraph on n vertices and m edges has a transversal with no more than (5n + 4m)/21 vertices. In the particular case n = m,...
Stéphan Thomassé, Anders Yeo
CIE
2007
Springer
15 years 5 months ago
The Complexity Ecology of Parameters: An Illustration Using Bounded Max Leaf Number
In the framework of parameterized complexity, exploring how one parameter affects the complexity of a different parameterized (or unparameterized problem) is of general interest....
Michael R. Fellows, Frances A. Rosamond
63
Voted
DM
2008
80views more  DM 2008»
14 years 11 months ago
Restrained bondage in graphs
Let G = (V, E) be a graph. A set S V is a restrained dominating set if every vertex not in S is adjacent to a vertex in S and to a vertex in V - S. The restrained domination numb...
Johannes H. Hattingh, Andrew R. Plummer
87
Voted
WG
2009
Springer
15 years 6 months ago
Distance d-Domination Games
Abstract. We study graph searching games where a number of cops try to capture a robber that is hiding in a system of tunnels modelled as a graph. While the current position of the...
Stephan Kreutzer, Sebastian Ordyniak