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» Bounds on the signed domination number of a graph
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ENDM
2002
134views more  ENDM 2002»
13 years 4 months ago
Bounds on the signed domination number of a graph
Let G = (V, E) be a simple graph on vertex set V and define a function f : V {-1, 1}. The function f is a signed dominating function if for every vertex x V, the closed neighbor...
Ruth Haas, Thomas B. Wexler
DM
2008
119views more  DM 2008»
13 years 4 months ago
A generalised upper bound for the k-tuple domination number
In this paper, we provide an upper bound for the k-tuple domination number that generalises known upper bounds for the double and triple domination numbers. We prove that for any ...
Andrei Gagarin, Vadim E. Zverovich
DM
2010
118views more  DM 2010»
13 years 4 months ago
Discrepancy and signed domination in graphs and hypergraphs
For a graph G, a signed domination function of G is a two-colouring of the vertices of G with colours +1 and
Anush Poghosyan, Vadim E. Zverovich
COMBINATORICS
2007
84views more  COMBINATORICS 2007»
13 years 4 months ago
A New Upper Bound on the Total Domination Number of a Graph
Michael A. Henning, Anders Yeo