Spectra of Some Simple Graphs

Essam El Seidy, Salah ElDin Hussein, Atef AboElkher

Abstract


We consider a finite undirected and connected simple graph  with vertex set  and edge set . The spectra of some special simple graphs and different types of their matrices are discussed to represent a graph. In this discussion we are interested in the adjacency matrix, Laplacian matrix, signless Laplacian matrix, normalized Laplacian matrix, and seidel adjacency matrix.

Keywords: Laplacian matrix, signless Laplacian matrix, normalized Laplacian matrix, seidel adjacency matrix, spectral.

Mathematics Subject Classi?cation: 05C50


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ISSN (Paper)2224-5804 ISSN (Online)2225-0522

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