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Bretto, Alain
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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...
...
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)....
...
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...
...
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...
...
Oct 3 2005
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