Open Access
2015 Pure simplicial complexes and well-covered graphs
Rashid Zaare-Nahandi
Rocky Mountain J. Math. 45(2): 695-702 (2015). DOI: 10.1216/RMJ-2015-45-2-695

Abstract

In this paper, we provide some necessary and sufficient conditions to check when a (semi-)perfect graph is well-covered. We show that the checking process of these conditions can be achieved in a polynomial time. Since the comparability graph of a simplicial complex is a perfect graph, our result carries over to simplicial complexes.

Citation

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Rashid Zaare-Nahandi. "Pure simplicial complexes and well-covered graphs." Rocky Mountain J. Math. 45 (2) 695 - 702, 2015. https://doi.org/10.1216/RMJ-2015-45-2-695

Information

Published: 2015
First available in Project Euclid: 13 June 2015

zbMATH: 1327.05150
MathSciNet: MR3356635
Digital Object Identifier: 10.1216/RMJ-2015-45-2-695

Subjects:
Primary: 05C25 , 05E40 , 05E45 , 13F55

Keywords: clique cover , perfect graph , pure simplicial complex , Well-covered graph

Rights: Copyright © 2015 Rocky Mountain Mathematics Consortium

Vol.45 • No. 2 • 2015
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