On the Seidel Energy of Certain Mesh Derived Networks
Sophia Shalini G. B.1, Anwar Saleh2, Dhananjayamurthy B.V3
1Sophia Shalini G.B., Department of Mathematics, Mount Carmel College, Bangalore, India
2Anwar Saleh, Department of Mathematics, College of Science, University of Jeddah, Saudi Arabia
3Dhananjayamurthy B.V., Department of Mathematics, NITTE Meenakshi Institute of Technology, Yelahanka, Bangalore, India.
Manuscript received on November 25, 2019. | Revised Manuscript received on December 15, 2019. | Manuscript published on December 30, 2019. | PP: 1905-1910 | Volume-9 Issue-2, December, 2019. | Retrieval Number: B2303129219/2019©BEIESP | DOI: 10.35940/ijeat.B2303.129219
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: The energy of graph G is defined as the sum of the absolute values of eigenvalues of the adjacency matrix A(G). The manual calculation of energy of graphs consumes several man hours. In this paper, we use MATLAB to generate the Seidel matrix and hence calculate the Seidel energy of some mesh derived networks.
Keywords: Seidel matrix, Seidel energy, Grid, Cylinder, Torus, Extended grid. AMS classification. 05C15,05C50.