Finite groups whose intersection power graphs are toroidal and projective-planar

Autor: Li Huani, Ma Xuanlong, Fu Ruiqin
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Open Mathematics, Vol 19, Iss 1, Pp 850-862 (2021)
Druh dokumentu: article
ISSN: 2391-5455
DOI: 10.1515/math-2021-0071
Popis: The intersection power graph of a finite group GG is the graph whose vertex set is GG, and two distinct vertices xx and yy are adjacent if either one of xx and yy is the identity element of GG, or ⟨x⟩∩⟨y⟩\langle x\rangle \cap \langle y\rangle is non-trivial. In this paper, we completely classify all finite groups whose intersection power graphs are toroidal and projective-planar.
Databáze: Directory of Open Access Journals