Spectra of some Operations on Graphs

Essam EI Seidy; Salah ElDin Hussein; Atef Abo Elkher

doi:10.24297/jam.v11i9.828

Spectra of some Operations on Graphs

Authors

Essam EI Seidy Faculty of Science, Ain Shams University, Abbassia, Cairo, Egypt
Salah ElDin Hussein Faculty of Science, Assiut University, Assiut,
Atef Abo Elkher Department of Mathematics,

DOI:

https://doi.org/10.24297/jam.v11i9.828

Keywords:

adjacency, laplacian, union of graph, join of graph, cartesian product, strong cartesian product, direct product.

Abstract

In this paper, we consider a finite undirected and connected simple graph G(E, V) with vertex set V(G) and edge set E(G).We introduced a new computes the spectra of some operations on simple graphs [union of disjoint graphs, join of graphs, cartesian product of graphs, strong cartesian product of graphs, direct product of graphs].

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Author Biographies

Essam EI Seidy, Faculty of Science, Ain Shams University, Abbassia, Cairo, Egypt

Department of Mathematics

Salah ElDin Hussein, Faculty of Science, Assiut University, Assiut,

Department of Mathematics

Atef Abo Elkher, Department of Mathematics,

Faculty of Science, Assiut University, Assiut,

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Published

2016-01-08

How to Cite

Seidy, E. E., Hussein, S. E., & Elkher, A. A. (2016). Spectra of some Operations on Graphs. JOURNAL OF ADVANCES IN MATHEMATICS, 11(9), 5654–5660. https://doi.org/10.24297/jam.v11i9.828