TY - GEN AU - Bhunia, Sushil AU - Arunkumar, G. TI - Groups with maximum vertex degree commuting graphs PY - 2024/// CY - New Delhi PB - Springer KW - Humanities and Applied Sciences N2 - 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 UR - https://link.springer.com/article/10.1007/s13226-022-00359-x ER -