On the Co-PI and Laplacian Co-PI eigenvalues of a graph

Authors:
Guifu Su;Liming Xiong;Lan Xu
Affiliations:
School of Mathematics, Beijing Institute of Technology, Beijing, 100081, PR China and Department of Mathematics, Changji University, Xinjiang, 831100, PR China;School of Mathematics, Beijing Institute of Technology, Beijing, 100081, PR China and Department of Mathematics, Jiangxi Normal University, Jiangxi, 330022, PR China and Department of Mathematics, ...;Department of Mathematics, Changji University, Xinjiang, 831100, PR China
Venue:
Discrete Applied Mathematics
Year:
2013

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Abstract

In this paper we present an equivalent definition of Co-PI index and then determine the eigenvalues of Co-PI matrices and their Laplacians of Cartesian product graphs, including bounds on the second and third Co-PI spectral moment of a graph. The explicit formulae for the Co-PI index of Cartesian product graphs are also presented.