Publications of Éric Sopena

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Publications of Éric Sopena

Articles in journal or book's chapters
  1. Julien Bensmail, Sandip Das, Soumen Nandi, Théo Pierron, Sagnik Sen, and Eric Sopena. On the signed chromatic number of some classes of graphs. Discrete Mathematics, 345:112664, 2022. [WWW ] [PDF ]
    Keywords: Kn-minor-free graph, bounded-degree graph, triangle-free planar graph, homomorphism of signed graphs, planar graph, signed chromatic number. [bibtex-entry]
     
  2. Julien Bensmail, Hervé Hocquard, Dimitri Lajou, and Eric Sopena. Further Evidence Towards the Multiplicative 1-2-3 Conjecture. Discrete Applied Mathematics, 307:135-144, 2022. [WWW ] [PDF ]
    Keywords: 1-2-3 Conjecture, multiset version, product version, 4-chromatic graphs. [bibtex-entry]
     
  3. Julien Bensmail, Sandip Das, Soumen Nandi, Soumyajit Paul, Théo Pierron, Sagnik Sen, and Eric Sopena. Pushable chromatic number of graphs with degree constraints. Discrete Mathematics, 344(1):112151, 2021. [WWW ] [PDF ]
    Keywords: graph homomorphism, maximum degree, subcubicgraph, oriented coloring, push operation. [bibtex-entry]
     
  4. Julien Bensmail, François Dross, Hervé Hocquard, and Eric Sopena. From light edges to strong edge-colouring of 1-planar graphs. Discrete Mathematics and Theoretical Computer Science, vol. 22 no. 1(2), January 2020. [WWW ] [PDF ]
    Keywords: 1-planar graphs, Light edges, Strong edge-colouring, Strong chromatic index. [bibtex-entry]
     
  5. Olivier Baudon, Julien Bensmail, Tom Davot, Hervé Hocquard, Jakub Przybylo, Mohammed Senhaji, Eric Sopena, and Mariusz Wozniak. A general decomposition theory for the 1-2-3 Conjecture and locally irregular decompositions. Discrete Mathematics and Theoretical Computer Science, 21(1), April 2019. [WWW ] [PDF ]
    Keywords: Coloured weighted degrees, 1-2-3 Conjecture, Locally irregular decompositions. [bibtex-entry]
     
  6. Olivier Baudon, Julien Bensmail, Hervé Hocquard, Mohammed Senhaji, and Eric Sopena. Edge Weights and Vertex Colours: Minimizing Sum Count. Discrete Applied Mathematics, 270:13-24, November 2019. [WWW ] [PDF ] [bibtex-entry]
     
  7. Olivier Baudon, Julien Bensmail, Hervé Hocquard, Mohammed Senhaji, and Eric Sopena. On locally irregular decompositions of subcubic graphs. Opuscula Mathematica, 38(6):795-817, July 2018. [WWW ] [PDF ] [bibtex-entry]
     
  8. Olivier Baudon, Julien Bensmail, Mohammed Senhaji, and Eric Sopena. Neighbour-Sum-2-Distinguishing Edge-Weightings: Doubling the 1-2-3 Conjecture. Discrete Applied Mathematics, 251(83-92), November 2018. [WWW ] [PDF ]
    Keywords: Bipartite graphs, 1-2-3 Conjecture, Difference-2 distinction. [bibtex-entry]
     
Conference's articles
  1. Julien Bensmail, Hervé Hocquard, Dimitri Lajou, and Eric Sopena. A proof of the Multiplicative 1-2-3 Conjecture. In CALDAM 2022 - 8th Annual International Conference on Algorithms and Discrete Applied Mathematics, Puducherry, India, 2022. [WWW ] [PDF ]
    Keywords: 1-2-3 Conjecture, product version, labels 1-2-3. [bibtex-entry]
     
Internal reports
  1. Julien Bensmail, François Dross, Nacim Oijid, and Éric Sopena. Generalising the achromatic number to Zaslavsky's colourings of signed graphs. Research Report, Université côte d'azur ; Université de Bordeaux ; Université lyon 1, 2021. [WWW ] [PDF ]
    Keywords: chromatic number, achromatic number, complete colouring, Zaslavsky's colouring, signed graph. [bibtex-entry]
     
  2. Julien Bensmail, Hervé Hocquard, Dimitri Lajou, and Éric Sopena. A proof of the Multiplicative 1-2-3 Conjecture. Research Report, Université côte d'azur ; Université de bordeaux, 2021. [WWW ] [PDF ]
    Keywords: 1-2-3 Conjecture, product version, labels 1-2-3. [bibtex-entry]
     
  3. Julien Bensmail, Hervé Hocquard, Dimitri Lajou, and Eric Sopena. On a List Variant of the Multiplicative 1-2-3 Conjecture. Research Report, Université de bordeaux ; Université côte d'azur, 2021. [WWW ] [PDF ]
    Keywords: proper labelling, 1-2-3 Conjecture, product, list. [bibtex-entry]
     
  4. Julien Bensmail, Sandip Das, Soumen Nandi, Théo Pierron, Sagnik Sen, and Eric Sopena. On the signed chromatic number of some classes of graphs. Research Report, Université Côte D'Azur ; Université de Bordeaux ; Université Lyon 1, 2020. [WWW ] [PDF ]
    Keywords: Kn-minor-free graph, bounded-degree graph, triangle-free planar graph, homomorphism of signed graphs, planar graph, signed chromatic number. [bibtex-entry]
     
  5. Julien Bensmail, Hervé Hocquard, Dimitri Lajou, and Eric Sopena. Further Evidence Towards the Multiplicative 1-2-3 Conjecture. Research Report, Université côte d'azur ; Université de bordeaux, April 2020. [WWW ] [PDF ]
    Keywords: 1-2-3 Conjecture, multiset version, product version, 4-chromatic graphs. [bibtex-entry]
     
  6. Olivier Baudon, Julien Bensmail, Hervé Hocquard, Mohammed Senhaji, and Eric Sopena. On locally irregular decompositions of subcubic graphs. Research Report, Université de bordeaux ; Université de Nice - Sophia Antipolis, 2016. [WWW ] [PDF ] [bibtex-entry]
     
Miscellaneous
  1. Olivier Baudon, Julien Bensmail, Hervé Hocquard, Mohammed Senhaji, and Eric Sopena. Edge Weights and Vertex Colours: Minimizing Sum Count.
    Note: Working paper or preprint, July 2018. [WWW ] [PDF ] [bibtex-entry]
     

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Last modified: Sat Jan 29 19:00:46 2022