On Distance Laplacian (Signless) Eigenvalues of Commuting Graphs of Dihedral and Dicyclic Groups

Pirzada, S.; Rather, Bilal A.; Shaban, Rezwan Ul; Bhat, Imran

doi:10.1007/978-981-19-3898-6_32

Springer Proceedings in Mathematics &Amp; Statistics

2022

DOI: 10.1007/978-981-19-3898-6_32

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On Distance Laplacian (Signless) Eigenvalues of Commuting Graphs of Dihedral and Dicyclic Groups

S. Pirzada

Bilal A. Rather

Rezwan Ul Shaban

et al.

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2023

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On the spread of the distance signless Laplacian matrix of a graph

Pirzada,

Haq

2023

Acta Universitatis Sapientiae, Informatica

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Let G be a connected graph with n vertices, m edges. The distance signless Laplacian matrix DQ(G) is defined as DQ(G) = Diag(Tr(G)) + D(G), where Diag(Tr(G)) is the diagonal matrix of vertex transmissions and D(G) is the distance matrix of G. The distance signless Laplacian eigenvalues of G are the eigenvalues of DQ(G) and are denoted by δ1 Q(G), δ2 Q(G), ..., δn Q(G). δ1 Q is called the distance signless Laplacian spectral radius of DQ(G). In this paper, we obtain upper and lower bounds for SDQ (G) in terms of the Wiener index, the transmission degree and the order of the graph.

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On the spread of the distance signless Laplacian matrix of a graph

Pirzada,

Haq

2023

Acta Universitatis Sapientiae, Informatica

View full text Add to dashboard Cite

show abstract

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On Distance Laplacian (Signless) Eigenvalues of Commuting Graphs of Dihedral and Dicyclic Groups

Cited by 1 publication

References 18 publications

On the spread of the distance signless Laplacian matrix of a graph

On the spread of the distance signless Laplacian matrix of a graph

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