Lihua You, Man Yang, JInxi Li, Liyong Ren
Published 2016-12-02Version 1
In this paper, we give the spectrum of a matrix by using the quotient matrix, then we apply this result to various matrices associated to a graph and a digraph, including adjacency matrix, (signless) Laplacian matrix, distance matrix, distance (signless) Laplacian matrix, to obtain some known and new results. Moreover, we propose some problems for further research.
The number of ideals of $\mathbb{Z}[x]$ containing $x(x-α)(x-β)$ with given index
Nonpositive Eigenvalues of the Adjacency Matrix and Lower Bounds for Laplacian Eigenvalues
The kernel of the adjacency matrix of a rectangular mesh
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