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2017•Journal of Informatics and Mathematical SciencesOpen access

On Detour Distance Laplacian Energy

V. Kaladevi, A. Abinayaa

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Abstract

The Detour distance laplacian energy of a simple connected graph \(G\) is defined as the sum of the absolute values of the Eigen values of the detour distance laplacian matrix of \(G\). In this paper, the bounds for detour distance laplacian energy is obtain and also the detour distance laplacian energy of standard graphs and the Cartesian product of certain graphs with \(P_2\) are computed.

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What this paper is about

The Detour distance laplacian energy of a simple connected graph \(G\) is defined as the sum of the absolute values of the Eigen values of the detour distance laplacian matrix of \(G\). In this paper, the bounds for detour distance laplacian energy is obtain and also the detour distance laplacian energy of standard graphs and the Cartesian product of certain graphs with \(P_2\) are computed.

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Available abstract

The Detour distance laplacian energy of a simple connected graph \(G\) is defined as the sum of the absolute values of the Eigen values of the detour distance laplacian matrix of \(G\). In this paper, the bounds for detour distance laplacian energy is obtain and also the detour distance laplacian energy of standard graphs and the Cartesian product of certain graphs with \(P_2\) are computed.

Key concepts: Laplace operator, Cartesian product, Laplacian matrix, Distance matrix, Resistance distance, Mathematics, Combinatorics, Vector Laplacian

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