The Co-2-plex Polytope and Integral Systems

Authors:
Benjamin McClosky;Illya V. Hicks
Affiliations:
bjm4@rice.edu and illya.hicks@caam.rice.edu;-
Venue:
SIAM Journal on Discrete Mathematics
Year:
2009

Citing 0
Cited 3

Co-2-plex polynomials

Journal of Combinatorial Optimization
Combinatorial algorithms for the maximum k-plex problem

Journal of Combinatorial Optimization
Algorithms for detecting optimal hereditary structures in graphs, with application to clique relaxations

Computational Optimization and Applications

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Abstract

$k$-plexes are cohesive subgraphs which were introduced to relax the structure of cliques. A co-$k$-plex is the complement of a $k$-plex and is therefore similar to a stable set. This paper derives the co-2-plex analogue for certain properties of the stable set polytope. We also describe a class of 0-1 matrices $A$ for which the polytope $\{x\in\mathbf{R}^n_+\mid Ax\leq 2,$ $x\leq 1\}$ is integral.