Alain Bretto

Publications

Article dans une revue (33)

AAPP | Atti della Accademia Peloritana dei Pericolanti Farzaneh Gholaminezhad,Neda Moradi,Gholam H Fath-Tabar,Alain Bretto AAPP | Physical, Mathematical, and Natural Sciences, 2025, ⟨10.1478/AAPP.1031SA1⟩ Article dans une revue hal-05115763v1
About Berge–Füredi’s conjecture on the chromatic index of hypergraphs Alain Bretto,Alain Faisant,François Hennecart Comptes Rendus. Mathématique, 2025, 363, pp.323 - 328. ⟨10.5802/crmath.739⟩ Article dans une revue hal-05028664v1
About Berge-Füredi's conjecture on the chromatic index of hypergraphs Alain Bretto,Alain Faisant,François Hennecart Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2025, 363, pp.323-328. ⟨10.5802/crmath.739⟩ Article dans une revue hal-04740842v1
ON THE STRONG PERSISTENCE PROPERTY AND NORMALLY TORSION-FREENESS OF SQUARE-FREE MONOMIAL IDEALS Alain Bretto,Mehrdad Nasernejad,Jonathan Toledo Mediterranean Journal of Mathematics, 2025, 22 (158), ⟨10.1007/s00009-025-02922-2⟩ Article dans une revue hal-04787520v2
Functional analysis on hypergraphs: Density and zeta functions – applications to molecular graphs and image analysis Isabelle Bloch,Alain Bretto Information Sciences, 2024, 676, pp.120850. ⟨10.1016/j.ins.2024.120850⟩ Article dans une revue hal-04619807v1
Linear Representation of Graphs: Applications to Molecular Graphs Ali Reza Ashrafi,Alain Bretto,Alain Faisant MATCH Communications in Mathematical and in Computer Chemistry, In press, ⟨10.21203/rs.3.rs-2213289/v1⟩ Article dans une revue hal-03940944v1
On hyperedge coloring of weakly trianguled hypergraphs and well ordered hypergraphs Alain Bretto,Alain Faisant,François Hennecart Discrete Mathematics, 2020, 343, ⟨10.1016/j.disc.2020.112059⟩ Article dans une revue hal-02933032v1
On a relationship between Cayley graphs and G-graphs with some applications Mohamad Badaoui,Alain Bretto,Bassam Mourad Linear Algebra and its Applications, 2019, 582, pp.37-57. ⟨10.1016/j.laa.2019.07.031⟩ Article dans une revue hal-02935733v1
On the positive semi-definite property of similarity matrices Rafic Nader,Alain Bretto,Bassam Mourad,Hassan Abbas Theoretical Computer Science, 2019, 755, pp.13-28. ⟨10.1016/j.tcs.2018.06.052⟩ Article dans une revue hal-02125481v1
A note on the real inverse spectral problem for doubly stochastic matrices Rafic Nader,Bassam Mourad,Alain Bretto,Hassan Abbas Linear Algebra and its Applications, 2019, 569, pp.206-240. ⟨10.1016/j.laa.2019.01.017⟩ Article dans une revue hal-02126244v1
The Automorphism Groups of the Involution G-Graph and Cayley Graph * A R Ashrafi,Alain Bretto,F Gholaminezhad Southeast Asian Bulletin of Mathematics, 2019 Article dans une revue hal-02935723v1
On constructing expander families of G-graphs Mohamad Badaoui,Alain Bretto,David Ellison,Bassam Mourad Ars Mathematica Contemporanea, 2018, 15 (2), pp.425-440. ⟨10.26493/1855-3974.1537.97c⟩ Article dans une revue hal-02125928v1
Corrigendum to &quot;Mathematical morphology on hypergraphs, application to similarity and positive kernel Isabelle Bloch,Alain Bretto Computer Vision and Image Understanding, 2015, 132, pp.1--2 Article dans une revue hal-01130929v1
Corrigendum to ``Mathematical morphology on hypergraphs, application to similarity and positive kernel Isabelle Bloch,Alain Bretto Computer Vision and Image Understanding, 2015, 132, pp.1-2 Article dans une revue hal-02286995v1
Robust similarity between hypergraphs based on valuations and mathematical morphology operators Isabelle Bloch,Alain Bretto,Aurélie Leborgne Discrete Applied Mathematics, 2015, 183 (Spec), pp.2-19. ⟨10.1016/j.dam.2014.08.013⟩ Article dans une revue istex hal-01130921v1
Random walks in directed hypergraphs and application to semi-supervised image segmentation Aurélien Ducournau,Alain Bretto Computer Vision and Image Understanding, 2014, 120, pp.91-102. ⟨10.1016/j.patcog.2012.01.005⟩ Article dans une revue hal-01025272v1
Mathematical morphology on hypergraphs, application to similarity and positive kernel. Isabelle Bloch,Alain Bretto Computer Vision and Image Understanding, 2013, http://dx.doi.org/10.1016/j.cviu.2012.10.013. ⟨10.1016/j.cviu.2012.10.013⟩ Article dans une revue hal-01010406v1
Factorization of products of hypergraphs: Structure and algorithms Alain Bretto,Yannick Silvestre,Thierry Vallée Theoretical Computer Science, 2013, 475, pp.47-58. ⟨10.1016/j.tcs.2012.12.050⟩ Article dans une revue hal-01011195v1
A reductive approach to hypergraph clustering: An application to image segmentation Aurélien Ducournau,Alain Bretto,Soufiane Rital,Bernard Laget Pattern Recognition, 2012, 45 (7), pp.2788-2803. ⟨10.1016/j.patcog.2012.01.005⟩ Article dans une revue hal-01011245v1
New graphs related to (p,6) and (p,8)-cages Alain Bretto,Alain Faisant,Luc Gillibert Computers & Mathematics with Applications, 2011, 62, pp.2472-2479 Article dans une revue hal-00947639v1
A New Upper Bound for the (p,6) and the (p,8)-Cage Alain Bretto,Alain Faisant,Luc Gillibert Computers & Mathematics with Applications, 2011, 62 (6), pp.2472-2479. ⟨10.1016/j.camwa.2011.07.033⟩ Article dans une revue hal-01017290v1
A new closure concept preserving graph Hamiltonicity and based on neighborhood equivalence Thierry Vallée,Alain Bretto Discrete Mathematics, 2011, 311 (5), pp.336-341 Article dans une revue hal-01010308v1
Cayley graphs and G-graphs: Some applications Alain Bretto,Alain Faisant Journal of Symbolic Computation, 2011, 46, pp.1403-1412. ⟨10.1016/j.jsc.2011.08.016⟩ Article dans une revue hal-00947643v1
Hypergraphs for Generic Lossless Image Compression Luc Gillibert,Alain Bretto Fundamenta Informaticae, 2009, p.533--546. ⟨10.3233/FI-2009-0056⟩ Article dans une revue hal-01011778v1
A clique-covering sufficient condition for hamiltonicity of graphs Alain Bretto,Thierry Vallée Information Processing Letters, 2009, 109 (20), pp.1156--1160. ⟨10.1016/j.ipl.2009.07.015⟩ Article dans une revue hal-01010265v1
G-graphs : a new representation of groups Alain Bretto,Alain Faisant,Luc Gillibert Journal Symb. Computer, 2007, 42 (5), pp.549-560 Article dans une revue hal-00258969v1
A data mining formalization to improve hypergraph transversal computation Céline Hébert,Alain Bretto,Bruno Crémilleux Fundamenta Informaticae, 2007, 80, pp.415-433 Article dans une revue hal-00324997v1
G-graphs for the cage problem : a new upper bound ISSAC Alain Bretto,Luc Gillibert acm, 2007, pp.49-53 Article dans une revue hal-00258972v1
Hypergraphs for near-lossless volumetric compression ITNG Alain Bretto,Luc Gillibert IEEE Computer Society, 2007, pp.229-233 Article dans une revue hal-00258968v1
Hypergraphs and the Helly property Alain Bretto Arts Comb, 2006, 78 Article dans une revue hal-00258966v1
Compatible Topologies on Graphs: An Application to Graph Isomorphism Problem Complexity Alain Faisant,Alain Bretto,Thierry Vallée Theoretical Computer Science, 2006, 362 Article dans une revue hal-00256561v1
A polynomial algorithm for the strong Helly property Stéphane Ubéda,Alain Bretto,Janez Žerovnik Information Processing Letters, 2002, 81 (1), pp.55-57 Article dans une revue hal-01359221v1
An Efficient Algorithm for Helly Property Recognition in a Linear Hypergraph Alain Bretto,Hocine Cherifi,Stéphane Ubéda Electronic Notes in Theoretical Computer Science, 2001, 46, pp.177-187. ⟨10.1016/S1571-0661(04)80985-X⟩ Article dans une revue hal-01359224v1

Pré-publication, Document de travail (3)

The Berge-F\&quot;uredi conjecture on the chromatic index of hypergraphs with large hyperedges Alain Bretto,Alain Faisant,François Hennecart 2024 Pré-publication, Document de travail hal-04740846v1
Efficiency and volatility of spot and futures agricultural markets: Impact of trade frequencies David Batista Soares,Alain Bretto,Joël Priolon 2019 Pré-publication, Document de travail hal-02364549v1
Cartesian product of hypergraphs: properties and algorithms Alain Bretto,Yannick Silvestre,Thierry Vallée 2009 Pré-publication, Document de travail hal-01010364v1

Ouvrages (5)

Elements of Graph Theory: From Basic Concepts to Modern Developments Alain Bretto,Alain Faisant,François Hennecart European Mathematical Society. 2022, EMS Textbooks in Mathematics, ISBN 978-3-98547-017-4 Ouvrages hal-04638463v1
Intelligence Artificielle:La réalité et le Mythe Alain Bretto Edition Désiris, 2021, 978-2-36403-200-2 Ouvrages hal-03189393v1
Eléments de théorie des graphes (édition revue et augmentée) Alain Bretto,Alain Faisant,François Hennecart Lavoisier, 2018, Nicolas Puech, 978-2-7462-4850-2 Ouvrages hal-02065825v1
Hypergraph Theory - An Introduction Alain Bretto Springer International Publishing, 119 p., 2013, 978-3-319-00079-4. ⟨10.1007/978-3-319-00080-0⟩ Ouvrages hal-01024351v1
Eléments de théorie des graphes François Hennecart,Alain Bretto,Alain Faisant SPRINGER. SPRINGER, pp.380, 2012, IRIS, 978-2-8178-0280-0. ⟨10.1007/978-2-8178-0281-7⟩ Ouvrages hal-00947335v1

Communication dans un congrès (9)

Flows of information have changed: Do financial markets remain efficient ? David Batista Soares,David Batista Soares,Alain Bretto,Joël Priolon 2019 IEEE Conference on Computational Intelligence for Financial Engineering & Economics (CIFEr), May 2019, Shenzhen, France. pp.1-8, ⟨10.1109/CIFEr.2019.8759129⟩ Communication dans un congrès hal-02364497v1
A New Entropy for Hypergraphs Isabelle Bloch,Alain Bretto Discrete Geometry for Computer Imagery, DGCI 2019, Mar 2019, Marne-la-Vallée, France. pp.143-154 Communication dans un congrès hal-02125885v1
Similarity between Hypergraphs Based on Mathematical Morphology Isabelle Bloch,Alain Bretto,Aurélie Leborgne 11th International Symposium, ISMM 2013, May 2013, Uppsala, Sweden. ⟨10.1007/978-3-642-38294-9_1⟩ Communication dans un congrès istex hal-01283941v1
A new approach to asset pricing with rational agents behaving strategically Alain Bretto,Joël Priolon IEEE Computational Intelligence for Financial Engineering and Economics (CIFEr 2012), 2012, New-York, United States. pp.1--7, ⟨10.1109/CIFEr.2012.6327773⟩ Communication dans un congrès hal-01130912v1
Mathematical Morphology on Hypergraphs: Preliminary Definitions and Results Isabelle Bloch,Alain Bretto Discrete Geometry for Computer Imagery 16th IAPR International Conference, DGCI 2011,, Apr 2011, Nancy, France. pp.429-440 Communication dans un congrès hal-01021442v1
Factorization of Cartesian Product Of Hypergraphs Alain Bretto,Yannick Sylvestre 16th Annual International Conference, COCOON 2010, Jul 2010, Nha Trang, Vietnam, Vietnam. pp 173-181, ⟨10.1007/978-3-642-14031-0_20⟩ Communication dans un congrès hal-01016763v1
Un algorithme pour la factorisation des hypergraphes conformes Alain Bretto,Yannick Silvestre,Thierry Vallée Journées Graphes et Algorithmes, Nov 2009, Montpellier, France Communication dans un congrès hal-01016469v1
Optimizing hypergraph transversals computation with an anti-monotone constraint Céline Hébert,Alain Bretto,Bruno Crémilleux 22nd ACM Symposium on Applied Computing (SAC'07), Special Track on Data Mining, 2007, Séoul, South Korea. pp.443-444 Communication dans un congrès hal-00324998v1
Hypergraph model of digital topology for grey level images Stéphane Ubéda,Alain Bretto Discrete Geometry for Computer imagery, 1996, Lyon, France Communication dans un congrès hal-01357171v1

Rapport (1)

Financial Markets Dynamics Alain Bretto,Joël Priolon 2011 Rapport hal-01058611v1