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» Partitioning into Sets of Bounded Cardinality
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AAAI
2006
13 years 9 months ago
Weighted Constraint Satisfaction with Set Variables
Set variables are ubiquitous in modeling (soft) constraint problems, but efforts on practical consistency algorithms for Weighted Constraint Satisfaction Problems (WCSPs) have onl...
J. H. M. Lee, C. F. K. Siu
DM
2010
128views more  DM 2010»
13 years 7 months ago
Some remarks on the geodetic number of a graph
A set of vertices D of a graph G is geodetic if every vertex of G lies on a shortest path between two not necessarily distinct vertices in D. The geodetic number of G is the minimu...
Mitre Costa Dourado, Fábio Protti, Dieter R...
DM
2008
80views more  DM 2008»
13 years 7 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
COMBINATORICS
2006
156views more  COMBINATORICS 2006»
13 years 7 months ago
Total Domination and Matching Numbers in Claw-Free Graphs
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...
Michael A. Henning, Anders Yeo
CSR
2009
Springer
14 years 2 months ago
Partitioning Graphs into Connected Parts
The 2-Disjoint Connected Subgraphs problem asks if a given graph has two vertex-disjoint connected subgraphs containing prespecified sets of vertices. We show that this problem is...
Pim van 't Hof, Daniël Paulusma, Gerhard J. W...