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Computing the spectrum of L^t(G) for a regular graph

Publish Year: 1401
Type: Journal paper
Language: English
View: 164

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Document National Code:

JR_GADM-7-2_008

Index date: 19 September 2023

Computing the spectrum of L^t(G) for a regular graph abstract

If L(G) is the line graph of G, it is difficult to get the adjacency matrix of Lt(G)=L(L(L ... L(G))); t≥3 and also its spectrum. In this paper, we present a formula to compute the spectrum of Lt(G), for each positive integer t, where G is a regular graph.

Computing the spectrum of L^t(G) for a regular graph Keywords:

Line graph , Simple graph , Adjacency matrix , Eigenvalue of a matrix , Characteristic polynomial , Spectra of a graph

Computing the spectrum of L^t(G) for a regular graph authors

Saeed Mohammadian Semnani

Department of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, Semnan, Iran.