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  Bretto, Alain Add to Alert Profile  
 
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  1 - 4 of 4 reviews    
  Random walks in directed hypergraphs and application to semi-supervised image segmentation
Ducournau A., Bretto A. Computer Vision and Image Understanding 12091-102, 2014.  Type: Article

Hypergraphs are generalizations of graphs. In conventional graphs, the vertex set is partitioned into a number of pairs called edges. In hypergraphs, the vertex set is partitioned into a number of hyperedges with possibly more than two...
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Jul 14 2015  
  Hypergraph theory: an introduction
Bretto A., Springer Publishing Company, Incorporated, Cham, Switzerland, 2013. 132 pp.  Type: Book (978-3-319000-79-4)

As the title suggests, this book addresses the mathematics and theory of hypergraphs. The target audience includes graduate students and researchers with an interest in math and computer science (CS)....
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Jan 28 2014  
  G-graphs: a new representation of groups
Bretto A., Faisant A., Gillibert L. Journal of Symbolic Computation 42(5): 549-560, 2007.  Type: Article

Given a finite group G having a set of generators S, the authors of this paper define a finite graph &PHgr;(G,S), both mathematically and algorithmically. Properties of these...
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Oct 29 2007  
  Symmetric and semisymmetric graphs construction using G-graphs
Bretto A., Gillibert L., Laget B.  Symbolic and algebraic computation (Proceedings of the 2005 International Symposium on Symbolic and Algebraic Computation, Beijing, China, Jul 24-27, 2005) 61-67, 2005.  Type: Proceedings

A graph that is both edge-transitive and vertex-transitive is called a symmetric graph. A graph that is edge-transitive, but not vertex-transitive is called a semisymmetric graph. Constructing symmetric and semisymmetric graphs is a la...
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Oct 3 2005  

   
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