Identity graphs of finite cyclic groups | Zendy

N. Feyza Yalçın | Zendy; Yakup KIRĞIL | Zendy

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Identity graphs of finite cyclic groups

Author(s) -

N. Feyza Yalçın,

Yakup KIRĞIL

Publication year - 2020

Publication title -

balıkesir üniversitesi fen bilimleri enstitüsü dergisi

Language(s) - English

Resource type - Journals

eISSN - 2536-5142

pISSN - 1301-7985

DOI - 10.25092/baunfbed.679578

Subject(s) - mathematics , combinatorics , identity (music) , cyclic group , inverse , discrete mathematics , geometry , physics , abelian group , acoustics

In this paper, identity graphs of finite cyclic groups are considered. The identity graphs of finite cyclic groups are examined regarding to the subset of self-inverse elements and the subset of mutual inverse elements in a group. By using the features of these subsets the number of triangles and the number of edges in the identity graphs of finite cyclic groups are determined. Furthermore, Schultz, Gutman, first Zagreb, second Zagreb and Wiener indices are computed for identity graphs.

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