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

Issue

Section

Articles

How to Cite

Spectra of some Operations on Graphs. (2016). JOURNAL OF ADVANCES IN MATHEMATICS, 11(9), 5654-5660. https://doi.org/10.24297/jam.v11i9.828

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