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Reciprocal distance signless Laplacian spread of connected graphs

By: Contributor(s): Publication details: New Delhi Springer 2024Edition: Vol.55(1), MarDescription: 400-411pSubject(s): Online resources: In: Indian journal of pure and applied mathematicsSummary: Let G be a connected graph with vertex set . Recall that the reciprocal distance signless Laplacian matrix of G is defined to be , where RD(G) is the reciprocal distance matrix, and is the reciprocal distance degree of vertex for , . Denote by and the largest eigenvalue and the least eigenvalue of RQ(G), respectively. The reciprocal distance signless Laplacian spread of G is defined as . In this paper, we obtain some bounds on reciprocal distance signless Laplacian spread of a graph.
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Let G be a connected graph with vertex set . Recall that the reciprocal distance signless Laplacian matrix of G is defined to be , where RD(G) is the reciprocal distance matrix, and is the reciprocal distance degree of vertex for , . Denote by and the largest eigenvalue and the least eigenvalue of RQ(G), respectively. The reciprocal distance signless Laplacian spread of G is defined as . In this paper, we obtain some bounds on reciprocal distance signless Laplacian spread of a graph.

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