## Abstract An equistable graph is a graph for which the incidence vectors of the maximal stable sets are the 0β1 solutions of a linear equation. A necessary condition and a sufficient condition for equistability are given. They are used to characterize the equistability of various classes of perfe
On uniform N-equistability
β Scribed by S Rolewicz
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 273 KB
- Volume
- 115
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A graph is called equistable when there is a non-negative weight function on its vertices such that a set S of vertices has total weight 1 if and only if S is maximal stable. We show that a chordal graph is equistable if and only if every two adjacent non-simplicial vertices have a common simplicial
A graph is called equistable when there is a non-negative weight function on its vertices such that a set S of vertices has total weight 1 if and only if S is maximal stable. We characterize those series-parallel graphs that are equistable, generalizing results of Mahadev et al. about equistable out