Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4949897 | Discrete Applied Mathematics | 2017 | 7 Pages |
Abstract
The Maximum Weight Independent Set (MWIS) problem on graphs with vertex weights asks for a set of pairwise nonadjacent vertices of maximum total weight. The complexity of the MWIS problem for S1,1,3-free graphs, and for S1,2,2-free graphs is unknown. We show that the MWIS problem in (S1,1,3, banner)-free graphs, and in (S1,2,2, bull)-free graphs can be solved in polynomial time. These results extend some known results in the literature.
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Related Topics
Physical Sciences and Engineering
Computer Science
Computational Theory and Mathematics
Authors
T. Karthick, Frédéric Maffray,