## Abstract An equistable graph is a graph for which the incidence vectors of the maximal stable sets are the 0–1 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
Equistable series–parallel graphs
✍ Scribed by Ephraim Korach; Uri N. Peled
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 163 KB
- Volume
- 132
- Category
- Article
- ISSN
- 0166-218X
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✦ Synopsis
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 outer-planar graphs.
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