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Energy of Certain Planar Graphs

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The energy E(G) of a graph G is the sum of the absolute values of the eigenvalues of G of its adjacency matrix. The Laplacian energy LE(G) of a graph G is the sum of absolute values of its Laplacian eigenvalues. In this paper, we provide a MATLAB program, to calculate the energy and Laplacian energy of certain planar graphs namely n-regular caterpillar and Necklace.

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International Journal of Computing Algorithm, Vol 3(1), June 2014 ISSN(Print):2278-2397 Website: www.ijcoa.com Energy of Certain Planar Graphs M.Chris Monica, S.Santhakumar Department of Mathematics, Loyola College, Chennai Email: chrismonicam@yahoo.com Abstract The energy E(G) of a graph G is the sum of the absolute values of the eigenvalues of G of its adjacency matrix. The Laplacian energy LE(G) of a graph G is the sum of absolute values of its Laplacian eigenvalues. In this paper, we provide a MATLAB program, to calculate the energy and Laplacian energy of certain planar graphs namely n-regular caterpillar and Necklace.

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Energy of Certain Planar Graphs

  • 1. International Journal of Computing Algorithm, Vol 3(1), June 2014 ISSN(Print):2278-2397 Website: www.ijcoa.com Energy of Certain Planar Graphs M.Chris Monica, S.Santhakumar Department of Mathematics, Loyola College, Chennai Email: chrismonicam@yahoo.com Abstract The energy E(G) of a graph G is the sum of the absolute values of the eigenvalues of G of its adjacency matrix. The Laplacian energy LE(G) of a graph G is the sum of absolute values of its Laplacian eigenvalues. In this paper, we provide a MATLAB program, to calculate the energy and Laplacian energy of certain planar graphs namely n-regular caterpillar and Necklace.