2024 : 12 : 8
ali Asghar Talebi

ali Asghar Talebi

Academic rank: Associate Professor
ORCID:
Education: PhD.
ScopusId:
HIndex:
Faculty: Faculty of Mathematical Sciences
Address:
Phone: 09111523547

Research

Title
Semisymmetric Zp-covers of the C20 graph
Type
JournalPaper
Keywords
invariant subspaces, homology group, C20 graph, semisymmetric graphs, regular covering, lifting automorphisms.
Year
2021
Journal Algebra and Discrete Mathematics
DOI
Researchers ali Asghar Talebi ، narges mehdipoor

Abstract

A graph X is said to be G-semisymmetric if it is regular and there exists a subgroup G of A := Aut(X) acting transitively on its edge set but not on its vertex set. In the case of G = A, we call X a semisymmetric graph. Finding elementary abelian covering projections can be grasped combinatorially via a linear representation of automorphisms acting on the first homology group of the graph. The method essentially reduces to finding invariant subspaces of matrix groups over prime fields. In this study, by applying concept linear algebra, we classify the connected semisymmetric zp-covers of the C20 graph.