Groups with maximum vertex degree commuting graphs
Bhunia, Sushil
Groups with maximum vertex degree commuting graphs - Vol.55(1), Mar - New Delhi Springer 2024 - 234-241p.
Let G be a finite non-abelian group and Z(G) be its center. We associate a commuting graph to G, whose vertex set is and two distinct vertices are adjacent if they commute. In this paper we prove that the set of all non-abelian groups whose commuting graph has maximum vertex degree bounded above by a fixed is finite. Also, we characterize all groups for which the associated commuting graphs have maximum vertex degree at most 4.
Humanities and Applied Sciences
Groups with maximum vertex degree commuting graphs - Vol.55(1), Mar - New Delhi Springer 2024 - 234-241p.
Let G be a finite non-abelian group and Z(G) be its center. We associate a commuting graph to G, whose vertex set is and two distinct vertices are adjacent if they commute. In this paper we prove that the set of all non-abelian groups whose commuting graph has maximum vertex degree bounded above by a fixed is finite. Also, we characterize all groups for which the associated commuting graphs have maximum vertex degree at most 4.
Humanities and Applied Sciences