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On rank-perfect subclasses of near-bipartite graphs

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Abstract.

Shepherd95 proved that the stable set polytopes of near-bipartite graphs are given by constraints associated with the complete join of antiwebs only. For antiwebs, the facet set reduces to rank constraints associated with single antiwebs by Wagler2004. We extend this result to a larger graph class, the complements of fuzzy circular interval graphs, recently introduced in ChudnovskySeymour2004.

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Correspondence to Annegret K. Wagler.

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Received: November 2004 / Revised version: June 2005

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Wagler, A.K. On rank-perfect subclasses of near-bipartite graphs. 4OR 3, 329–336 (2005). https://doi.org/10.1007/s10288-005-0077-7

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  • DOI: https://doi.org/10.1007/s10288-005-0077-7

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