UPPER AND LOWER BOUNDS FOR THE POWER OF EIGENVALUES IN SEIDEL MATRIX

Authorsجلال عسگری فرسنگی,علی ایرانمنش
JournalJ. Appl. Math. & Informatics
Paper TypeFull Paper
Published At0000-00-00
Journal GradeScientific - research
Journal TypeElectronic
Journal CountryIran, Islamic Republic Of
Journal IndexISI-Listed

Abstract

In this paper, we generalize the concept of the energy of Seidel matrix S(G) which denoted by Sα(G) and obtain some results related to this matrix. Also, we obtain an upper and lower bound for Sα(G) related to all of graphs with |detS(G)| ≥ (n − 1), n ≥ 3.

tags: Graph eigenvalue, Seidel matrix, Conference matrix, Power of eigenvalue, Nonlinear programming, KKT method.