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» Note on Upper Bounds for TSP Domination Number
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AOR
2006
74views more  AOR 2006»
13 years 11 months ago
Note on Upper Bounds for TSP Domination Number
The domination number, domn(A, n), of a heuristic A for the Asymmetric TSP is the maximum integer d = d(n) such that, for every instance I of the Asymmetric TSP on n cities, A pro...
Gregory Gutin, Angela Koller, Anders Yeo
DM
2008
119views more  DM 2008»
13 years 11 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
COMBINATORICS
2007
84views more  COMBINATORICS 2007»
13 years 11 months ago
A New Upper Bound on the Total Domination Number of a Graph
Michael A. Henning, Anders Yeo
DM
2006
134views more  DM 2006»
13 years 11 months ago
Simultaneous graph parameters: Factor domination and factor total domination
Let F1, F2, . . . , Fk be graphs with the same vertex set V . A subset S V is a factor dominating set if in every Fi every vertex not in S is adjacent to a vertex in S, and a fac...
Peter Dankelmann, Michael A. Henning, Wayne Goddar...