The Spectrum of Two New Corona of Graphs and its Applications


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Authors

  • Renny P Varghese Department of Mathematics, Catholicate College, Pathanamthitta, Kerala, India
  • D. Susha Department of Mathematics, Catholicate College, Pathanamthitta, Kerala, India

Keywords:

Spectrum, duplication graph, corona of graphs, integral graphs, Kirchhoff index, spanning tree

Abstract

In this paper we introduced two notions of corona products of graphs such as Duplication vertex corona and Duplication add vertex corona. Here we mainly determine the adjacency, Laplacian and signless Laplacian spectra of the new corona products of two graphs and we prove that the Duplication vertex corona and Duplication add vertex corona are cospectral graphs. In addition to that the Kirchhoff index and number of spanning trees of the new graph corona products were also calculated. Lastly, we focus on the classification of new class of integral graphs.

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Published

15-11-2017

How to Cite

Renny P Varghese, & D. Susha. (2017). The Spectrum of Two New Corona of Graphs and its Applications. International Journal of Mathematics And Its Applications, 5(4 - C), 395–406. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/1286

Issue

Vol. 5 No. 4 - C (2017)

Section

Research Article

License

Copyright (c) 2023 International Journal of Mathematics And its Applications

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