On the generalized commuting and non-commuting graph for metacyclic 3-groups

Autor: Siti Norziahidayu Amzee Zamri, Hamisan Rahmat, Nor Haniza Sarmin, Mustafa Anis El-Sanfaz
Rok vydání: 2017
Předmět:
Zdroj: Malaysian Journal of Fundamental and Applied Sciences. 13
ISSN: 2289-599X
2289-5981
Popis: Let be a metacyclic 3-group and let be a non-empty subset of such that . The generalized commuting and non-commuting graphs of a group is denoted by and respectively. The vertex set of the generalized commuting and non-commuting graphs are the non-central elements in the set such that where Two vertices in are joined by an edge if they commute, meanwhile, the vertices in are joined by an edge if they do not commute.
Databáze: OpenAIRE