2026/10/10
Fahimeh Khosh-Ahang Ghasr

Fahimeh Khosh-Ahang Ghasr

Academic rank: Associate Professor
ORCID: Link
Education: PhD.
ResearchGate: Link
Faculty: Basic Sciences
ScholarId: Link
E-mail: f.khoshahang [at] ilam.ac.ir
ScopusId: Link
Phone: 08432227022
H-Index: 6

Research

Title
Expansion of a simplicial complex............
Type
JournalPaper
Keywords
Cohen-Macaulay, edge ideal, expansion, projective dimension, regularity, shellable, vertex decomposable
Year
2016
Journal JOURNAL OF ALGEBRA AND ITS APPLICATIONS
DOI https://doi.org/10.1142/S0219498816500043
Researchers Somayeh Moradi ، Fahimeh Khosh-Ahang Ghasr

Abstract

For a simplicial complex $\Delta$, we introduce a simplicial complex attached to $\Delta$, called the expansion of $\Delta$, which is a natural generalization of the notion of expansion in graph theory. We are interested in knowing how the properties of a simplicial complex and its Stanley-Reisner ring relate to those of its expansions. It is shown that taking expansion preserves vertex decomposable and shellable properties and in some cases Cohen-Macaulayness. Also it is proved that some homological invariants of Stanley-Reisner ring of a simplicial complex relate to those invariants in the Stanley-Reisner ring of its expansions.