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Rahim Rahmati-Asghar

Rahim Rahmati-Asghar

Academic rank: Associate Professor
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Education: PhD.
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Faculty: Faculty of Basic Sciences
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Research

Title
k-shellable simplicial complexes and graphs
Type
JournalPaper
Keywords
k-shellabl, simplicial complexe, graphs
Year
2018
Journal MATHEMATICA SCANDINAVICA
DOI
Researchers Rahim Rahmati-Asghar

Abstract

In this paper we showthat a k-shellable simplicial complex is the expansion of a shellable complex. We prove that the face ring of a pure k-shellable simplicial complex satisfies the Stanley conjecture. In this way, by applying an expansion functor to the face ring of a given pure shellable complex, we construct a large class of rings satisfying the Stanley conjecture. Also, by presenting some characterizations of k-shellable graphs, we extend some results due to Castrillón-Cruz, Cruz-Estrada and Van Tuyl-Villareal