Open AccessSome Relations Among the Largest Eigenvalues of Product Matrix and Graph Matrices
Author(s) -
Sezer Sorgun,
Hatice Topçu,
Kahraman Birgin,
Hakan Küçük
Publication year - 2016
Publication title -
nevşehir bilim ve teknoloji dergisi
Language(s) - English
Resource type - Journals
eISSN - 2148-4651
pISSN - 2148-466X
DOI - 10.17100/nevbiltek.86261
Subject(s) - eigenvalues and eigenvectors , mathematics , graph , matrix (chemical analysis) , combinatorics , algebra over a field , pure mathematics , physics , chemistry , quantum mechanics , chromatography
We define product matrix as , where is an adjacency matrix and is a diagonal matrix of vertex degrees of a graph . In this paper, some relations among the spectral radius of product matrix and the largest eigenvalues of graph matrices are obtained. We also give numerical results for them.
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