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author:

Liu, Y. (Liu, Y..) [1]

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Scopus

Abstract:

A complex square matrix is called a ray nonsingular matrix (RNS matrix) if its ray pattern implies that it is nonsingular. A matrix M=I−A(W) is called a cycle tree matrix if the adjacency structure of the cycles in the arc-weighted digraph W (with no multi-arcs or loops), which is described by the cycle graph of W, is a tree. In this paper, it is shown that if there is no positive cycle in W, then the cycle tree matrix M=I−A(W) is a forbidden structure for RNS if and only if M is not RNS. © 2020 Elsevier B.V.

Keyword:

Cycle tree matrix; Digraph; Forbidden structure; Ray nonsingular; Ray pattern

Community:

  • [ 1 ] [Liu, Y.]College of Mathematics and Computer Science, Fuzhou University, Fuzhou, 350116, China

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Source :

Discrete Mathematics

ISSN: 0012-365X

Year: 2020

Issue: 7

Volume: 343

0 . 8 7

JCR@2020

0 . 7 0 0

JCR@2023

ESI HC Threshold:50

JCR Journal Grade:3

CAS Journal Grade:3

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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