Information Processing Letters
Algorithms for weakly triangulated graphs
Discrete Applied Mathematics
A characterization of some graphs classes with no long holes
Journal of Combinatorial Theory Series B
Polynomial algorithms for the maximum stable set problem on particular classes of P5-free graphs
Information Processing Letters
Graph classes: a survey
Modular decomposition and transitive orientation
Discrete Mathematics - Special issue on partial ordered sets
Weakly chordal graph algorithms via handles
SODA '00 Proceedings of the eleventh annual ACM-SIAM symposium on Discrete algorithms
Recognizing weakly triangulated graphs by edge separability
Nordic Journal of Computing
On the structure and stability number of P5- and co-chair-free graphs
Discrete Applied Mathematics - Special issue on stability in graphs and related topics
On clique separators, nearly chordal graphs, and the Maximum Weight Stable Set Problem
Theoretical Computer Science
Maximum weight independent sets in hole- and dart-free graphs
Discrete Applied Mathematics
On atomic structure of P5-free subclasses and Maximum Weight Independent Set problem
Theoretical Computer Science
Distance-$$d$$ independent set problems for bipartite and chordal graphs
Journal of Combinatorial Optimization
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The Maximum Weight Independent Set (MWIS) problem on graphs with vertex weights asks for a set of pairwise nonadjacent vertices of maximum total weight. Being one of the most investigated and most important problems on graphs, it is well known to be NP-complete and hard to approximate. The complexity of MWIS is open for hole-free graphs (i.e., graphs without induced subgraphs isomorphic to a chordless cycle of length at least five). By applying a combination of clique separator and modular decomposition, we obtain a polynomial time solution of MWIS for hole- and co-chair-free graphs (the co-chair consists of five vertices four of which form a clique minus one edge - a diamond - and the fifth has degree one and is adjacent to one of the degree two vertices of the diamond).