most citedOn Laplacian energy of non-commuting graphs of finite groups

6 citations · 8 across the 5 of their papers we have counts for

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math.GR2017

On relative autocommutativity degree of a subgroup of a finite group

Parama Dutta, Rajat Kanti Nath

In this paper, we consider the probability that a randomly chosen automorphism of a finite group fixes a randomly chosen element of a subgroup of that group. We obtain several new…

math.GR2017★ 6 cited

On Laplacian energy of non-commuting graphs of finite groups

Parama Dutta, Rajat Kanti Nath

In this paper, we compute Laplacian energy of the non-commuting graphs of some classes of finite non-abelian groups.

math.GR2017

Laplacian Spectrum of non-commuting graphs of finite groups

Parama Dutta, Jutirekha Dutta, Rajat Kanti Nath

In this paper, we compute the Laplacian spectrum of non-commuting graphs of some classes of finite non-abelian groups. Our computations reveal that the non-commuting graphs of all…

math.GR2017

Autocommuting probability of a finite group relative to its subgroups

Parama Dutta, Rajat Kanti Nath

Let be two subgroups of a finite group and Aut the automorphism group of . The autocommuting probability of relative to its subgroups and , d…

math.GR2017

Autocommuting probability of a finite group

Parama Dutta, Rajat Kanti Nath

Let be a finite group and $\Aut(G)$ the automorphism group of . The autocommuting probability of , denoted by $\Pr(G, \Aut(G))$, is the probability that a randomly chosen…