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Problemy Upravleniya, 2008, Issue 4, Pages 11–15 (Mi pu166)  
Mathematical problems of control theory

On the spectrum of a ring-structured directed graph's adjacency matrix and its application

R. P. Agaev, S. V. Nikiforov, N. A. Andryushina

Institute of Control Sciences, Russian Academy of Sciences
English full-text Russian version article
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Abstract: In the paper, it was investigated that if 2 arcs were removed from ring-structured directed graph with 2 Hamilton circuits, its spectrum would remain real if and only if the number of nodes were even, and the “distance between the arcs” removed from one cyclic path were maximal. The applicability of the results to fault-tolerance estimation of ring topology networks is examined.
English version:
Automation and Remote Control, 2010, Volume 71, Issue 6, Pages 1149–1157
DOI: https://doi.org/10.1134/S0005117910060160
Bibliographic databases:
Document Type: Article
UDC: 519.16+519.724
Language: Russian
Citation: R. P. Agaev, S. V. Nikiforov, N. A. Andryushina, “On the spectrum of a ring-structured directed graph's adjacency matrix and its application”, Probl. Upr., 2008, no. 4, 11–15; Automation and Remote Control, 71:6 (2010), 1149–1157
Citation in format AMSBIB
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\by R.~P.~Agaev, S.~V.~Nikiforov, N.~A.~Andryushina
\paper On the spectrum of a~ring-structured directed graph's adjacency matrix and its application
\jour Probl. Upr.
\yr 2008
\issue 4
\pages 11--15
\mathnet{http://mi.mathnet.ru/pu166}
\transl
\jour Automation and Remote Control
\yr 2010
\vol 71
\issue 6
\pages 1149--1157
\crossref{https://doi.org/10.1134/S0005117910060160}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000279297200015}
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