Open AccessProperties of the characteristic polynomials and spectrum of Pn and Cn
Author(s) -
Essam El Seidy,
Salah Hussein,
Atef Mohamed Gad Mohamed
Publication year - 2016
Publication title -
international journal of applied mathematical research
Language(s) - English
Resource type - Journals
ISSN - 2227-4324
DOI - 10.14419/ijamr.v5i2.6106
Subject(s) - mathematics , spectrum (functional analysis) , pure mathematics , combinatorics , quantum mechanics , physics
We consider a finite undirected and connected simple graph with vertex set and edge set .We calculated the general formulas of the spectra of a cycle graph and path graph. In this discussion we are interested in the adjacency matrix, Laplacian matrix, signless Laplacian matrix, normalized Laplacian matrix, and seidel adjacency matrix.