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Similarity relations and cover automata

Jean-Marc Champarnaud, Franck Guingne, Georges Hansel (2005)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

Cover automata for finite languages have been much studied a few years ago. It turns out that a simple mathematical structure, namely similarity relations over a finite set of words, is underlying these studies. In the present work, we investigate in detail for themselves the properties of these relations beyond the scope of finite languages. New results with straightforward proofs are obtained in this generalized framework, and previous results concerning cover automata are obtained as immediate...

Similarity relations and cover automata

Jean-Marc Champarnaud, Franck Guingne, Georges Hansel (2010)

RAIRO - Theoretical Informatics and Applications

Cover automata for finite languages have been much studied a few years ago. It turns out that a simple mathematical structure, namely similarity relations over a finite set of words, is underlying these studies. In the present work, we investigate in detail for themselves the properties of these relations beyond the scope of finite languages. New results with straightforward proofs are obtained in this generalized framework, and previous results concerning cover automata are obtained as immediate...

Solving word equations

Habib Abdulrab (1990)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

Symmetric flows and broadcasting in hypercubes

Jean-Claude Bermond, A. Bonnecaze, T. Kodate, Stéphane Pérennes, Patrick Solé (1999)

Annales de l'institut Fourier

In this paper, we propose a method which enables to construct almost optimal broadcast schemes on an n -dimensional hypercube in the circuit switched, Δ -port model. In this model, an initiator must inform all the nodes of the network in a sequence of rounds. During a round, vertices communicate along arc-disjoint dipaths. Our construction is based on particular sequences of nested binary codes having the property that each code can inform the next one in a single round. This last property is insured...

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