2016/12/02 by You, Lihua, Yang, Man, Li, JInxi +1
#Combinatorics (math.CO) #FOS: Mathematics
paper · doi:10.48550/arxiv.1612.00648
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.