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arXiv · 0905.1024

Greedoids on Vertex Sets of Unicycle Graphs

Vadim E. Levit·Eugen Mandrescu
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Abstract

A maximum stable set in a graph G is a stable set of maximum cardinality. S is a local maximum stable set of G, if S is a maximum stable set of the subgraph induced by its closed neighborhood. It is known that the family of all local maximum stable sets of a forest forms a greedoid on its vertex set. Bipartite, triangle-free, and well-covered graphs whose families of local maximum stable sets form greedoids have been analyzed as well. A unicycle graph owns only one cycle. In this paper we characterize the unicycle graphs whose families of local maximum stable sets form greedoids.

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Vadim E. Levit, Eugen Mandrescu. 2009-05-07. Greedoids on Vertex Sets of Unicycle Graphs. https://arxiv.org/abs/0905.1024

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