The seminar of the team LIMD is under the responsibility of
Sebastien Tavenas.

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# Year 2023

**Thursday 19th January 2023 at 10h
**
Morgan Rogers
(Paris Nord - LIPN),
*TBA*

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TBA

**Thursday 12th January 2023 at 10h
**
Andrea Frosini
(University of Florence),
*The reconstruction problem of uniform hypergraphs from their degree sequences*

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The notion of hypergraph has been introduced as a generalization of graphs so that each hyperedge is a subset of the set of vertices, without constraints on its cardinality. A widely investigated problem related both to graphs and to hypergraphs concerns the characterization and reconstruction from their degree sequences. Concerning graphs, this problem has been efficiently solved in 1960 by Erdos and Gallai, while no efficient solutions are possible in the case of hypergraphs, even in the simple case of 3-uniform ones, as shown in 2018 by Deza et al. So, to reduce the NP-hard core of the hypergraph reconstruction problem, we consider a class of degree sequences defined by Deza et al. that show interesting geometrical and algebraic properties. We propose some ideas on how use those properties to challenge the related reconstruction problem.

The seminar of the team LIMD is under the responsibility of
Sebastien Tavenas.

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