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Cayley graphs and G-graphs of Gyro-groups
Neda Moradi, Gholam Hossein Fath-Tabara, Alain Bretto
In this paper the structure of the Cayley graphs and G-graphs of some gyro-groups are studied and some properties of them will be proved. Moreover we review some special gyro-group…
math.CO2024
About Berge-Füredi's conjecture on the chromatic index of hypergraphs
Alain Bretto, Alain Faisant, François Hennecart
We show that the chromatic index of a hypergraph satisfies Berge-Füredi conjectured bound under certain hypotheses o…
math.CO2024
The Berge-Füredi conjecture on the chromatic index of hypergraphs with large hyperedges
Alain Bretto, Alain Faisant, Francois Hennecart
This paper is concerned with two conjectures which are intimately related. The first is a generalization to hypergraphs of Vizing's Theorem on the chromatic index of a graph and th…