A Recursive Procedure for Designing Optimal d-Matched Digraphs

Kiyoaki YOSHIDA, Yasumasa SUJAKU, Tohru KOHDA

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Summary :

We define a d-matched digraph and propose a recursive procedure for designing an optimal d-matched digraph without bidirectional edges. The digraph represents an optimal highly structured system which is a special class of self-diagnosable systems and identifies all of the faulty units independently and locally in O(|E|) time complexity. The procedure is straightforward and gives a system flexible in network connections. Hence the procedure is applicable to real systems such as the Internet or cooperative robotic systems which change their topology dynamically.

Publication
IEICE TRANSACTIONS on Fundamentals Vol.E86-A No.5 pp.1266-1274
Publication Date
2003/05/01
Publicized
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DOI
Type of Manuscript
PAPER
Category
Graphs and Networks

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