000			a
999			_c21926 _d21926
003			OSt
005			20241216101648.0
008			241216b xxu||||| |||| 00| 0 eng d
040			_aAIKTC-KRRC _cAIKTC-KRRC
100			_924810 _aBhunia, Sushil
245			_aGroups with maximum vertex degree commuting graphs
250			_aVol.55(1), Mar
260			_aNew Delhi _bSpringer _c2024
300			_a234-241p.
520			_aLet 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.
650		0	_94642 _aHumanities and Applied Sciences
700			_924811 _aArunkumar, G.
773	0		_dNew Delhi Indian National Science Academy _tIndian journal of pure and applied mathematics _x0019-5588
856			_uhttps://link.springer.com/article/10.1007/s13226-022-00359-x _yClick here
942			_2ddc _cAR