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Somayeh Moradi

Academic rank: Associate Professor
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Education: PhD.
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Faculty: Basic Science
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Research

Title
Codismantlability and projective dimension of the Stanley-Reisner ring of special hypergraphs
Type
JournalPaper
Keywords
codominated vertex, edge ideal, hypergraph, matching number, projective dimension, vertex decomposable
Year
2018
Journal Proceedings - Mathematical Sciences
DOI
Researchers Fahimeh Khosh-Ahang Ghasr ، Somayeh Moradi

Abstract

In this paper firstly, we generalize the concept of codismantlable graphs to hypergraphs and show that some special vertex decomposable hypergraphs are codismantlable. Then we generalize the concept of bouquet in graphs to hypergraphs to extend some combinatorial invariants of graphs about disjointness of a set of bouquets. We use these invariants to characterize the projective dimension of Stanley-Reisner ring of special hypergraphs in some sense.