Invertible Graphs of Finite Groups
Închide
Conţinutul numărului revistei
Articolul precedent
Articolul urmator
754 18
Ultima descărcare din IBN:
2023-03-06 15:18
Căutarea după subiecte
similare conform CZU
512.542+519.173 (1)
Algebră (400)
Analiză combinatorică. Teoria grafurilor (114)
SM ISO690:2012
CHALAPATHI, T., KIRAN KUMAR, R. V. M. S. S.. Invertible Graphs of Finite Groups. In: Computer Science Journal of Moldova, 2018, nr. 2(77), pp. 126-145. ISSN 1561-4042.
EXPORT metadate:
Google Scholar
Crossref
CERIF

DataCite
Dublin Core
Computer Science Journal of Moldova
Numărul 2(77) / 2018 / ISSN 1561-4042 /ISSNe 2587-4330

Invertible Graphs of Finite Groups

CZU: 512.542+519.173

Pag. 126-145

Chalapathi T.1, Kiran Kumar R. V. M. S. S.2
 
1 Department of Mathematics, Sree Vidyanikethan Eng. College,
2 Department of Mathematics, S.V. University
 
Disponibil în IBN: 12 septembrie 2018


Rezumat

We investigate some properties of invertible graphs of finite groups, which are newly defined in this paper. The main results have been proved using finite group classification. For each finite group, the size, the girth, the diameter, the clique number and the chromatic number have been studied. These studies show that the invertible graphs are weakly perfect. Specifically, formulas for enumerating a total number of edges in the invertible graph of the Symmetric group and Dihedral group have been derived. Further, the relations between isomorphic, non-isomorphic groups and their invertible graphs are presented

Cuvinte-cheie
Self-inverse elements, Mutual inverse elements, Weakly-perfect, Isomorphic graphs, Invertible graph.