LAPLACIAN POLYNOMIAL AND LAPLACIAN ENERGY OF SOME BIPARTITE CLUSTER GRAPHS

S. B. Gudimani, S. S. Shinde, N. Swamy, and H. S. Ramane

  DOI:  https://doi.org/10.37418/amsj.9.11.9

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The graphs with large number of edges are referred as cluster graphs [1]. In [5] the ordinary energy of graphs obtained from complete bipartite graph is considered. In this article we consider the Laplacian polynomial of graphs obtained from complete bipartite graph by deleting the edges. Laplacian energy for these graphs in certain cases are also obtained. For a bipartite graph the Laplacian spectra and signless Laplacian spectra is same [2].

Keywords: Laplacian polynomial and Laplacian energy of graph, cluster graphs.