Publications of Éric Sopena
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Publications of Éric Sopena
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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]
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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
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Keywords:
1-2-3 Conjecture,
multiset version,
product version,
4-chromatic graphs.
[bibtex-entry]
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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
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Keywords:
graph homomorphism,
maximum degree,
subcubicgraph,
oriented coloring,
push operation.
[bibtex-entry]
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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
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Keywords:
1-planar graphs,
Light edges,
Strong edge-colouring,
Strong chromatic index.
[bibtex-entry]
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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
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Keywords:
Coloured weighted degrees,
1-2-3 Conjecture,
Locally irregular decompositions.
[bibtex-entry]
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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]
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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]
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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
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Keywords:
Bipartite graphs,
1-2-3 Conjecture,
Difference-2 distinction.
[bibtex-entry]
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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]
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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
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Keywords:
chromatic number,
achromatic number,
complete colouring,
Zaslavsky's colouring,
signed graph.
[bibtex-entry]
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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]
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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
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Keywords:
proper labelling,
1-2-3 Conjecture,
product,
list.
[bibtex-entry]
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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]
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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]
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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]
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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
