Orientable and non-orientable genus of the intersection power graph of finite groups
Autor: | S. Syed Ali Fathima, M. Aysha Aprose |
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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 |
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