2025/12/5
Amir Mafi

Amir Mafi

Academic rank: Professor
ORCID:
Education: PhD.
H-Index:
Faculty: Faculty of Science
ScholarId:
E-mail: a.mafi [at] uok.ac.ir
ScopusId: View
Phone: 33624133
ResearchGate:

Research

Title
Almost Cohen–Macaulay bipartite graphs and connected in codimension two
Type
JournalPaper
Keywords
Almost Cohen–Macaulay rings; simplicial complex; connectedness
Year
2025
Journal Journal of Algebra and Its Applications
DOI
Researchers Amir Mafi ، Dler Naderi

Abstract

In this paper, we study almost Cohen–Macaulay bipartite graphs. In particular, we prove that if G is an almost Cohen–Macaulay bipartite graph with at least one vertex of positive degree, then there is a vertex of deg(v) ≤ 2. In particular, if G is an almost Cohen–Macaulay bipartite graph and u is a vertex of degree one of G and v its adjacent vertex, then G\{v} is almost Cohen–Macaulay. Also, we show that an unmixed Ferrers graph is almost Cohen–Macaulay if and only if it is connected in codimension two. Moreover, we give some examples.