Orientable and non-orientable genus of the intersection power graph of finite groups

Autor: S. Syed Ali Fathima, M. Aysha Aprose
Rok vydání: 2020
Předmět:
Zdroj: PROCEEDINGS OF INTERNATIONAL CONFERENCE ON ADVANCES IN MATERIALS RESEARCH (ICAMR - 2019).
ISSN: 0094-243X
DOI: 10.1063/5.0016842
Popis: The intersection power graph ΓI (G) of a group G is defined as follows: take G as vertex set and two distinct vertices x and y are adjacent in ΓI (G) if there exists a non-identity element z ∈ G such that xm=z=yn, for some m, n ∈ N and e is adjacent to all other vertices, where e is the identity element of the group G. In this paper, certain finite groups whose intersection power graphs can be embedded on the torus or projective plane are classified.
Databáze: OpenAIRE