Title
Weighted stability number of graphs and weighted satisfiability: The two facets of pseudo-Boolean optimization
Abstract
We exhibit links between pseudo-Boolean optimization, graph theory and logic. We show the equivalence of maximizing a pseudo-Boolean func- tion and finding a maximum weight stable set; symmetrically minimizing a pseudo-Boolean function is shown to be equivalent to solving a weighted satisfiability problem.
Year
DOI
Venue
2007
10.1007/s10479-006-0101-0
Annals OR
Keywords
Field
DocType
Graph Transformation,Complete Bipartite Graph,Stability Number,Discrete Apply Mathematic,Complete Bipartite Subgraph
Maximum satisfiability problem,Graph theory,Complete bipartite graph,Discrete mathematics,Combinatorics,Mathematical optimization,Satisfiability,Boolean satisfiability problem,Equivalence (measure theory),Independent set,And-inverter graph,Mathematics
Journal
Volume
Issue
ISSN
149
1
0254-5330
Citations 
PageRank 
References 
1
0.36
5
Authors
2
Name
Order
Citations
PageRank
Dominique de Werra149584.31
Peter L. Hammer21996288.93