Department of Computer Science | Institute of Theoretical Computer Science | CADMO

Theory of Combinatorial Algorithms

Prof. Emo Welzl and Prof. Bernd Gärtner

Mittagsseminar (in cooperation with M. Ghaffari, A. Steger, D. Steurer and B. Sudakov)

Mittagsseminar Talk Information

Date and Time: Tuesday, May 10, 2022, 12:15 pm

Duration: 30 minutes

Location: CAB G51

Speaker: Jean Cardinal (Université Libre de Bruxelles)

Diameter estimates for graph associahedra

Graph associahedra are generalized permutohedra arising as special cases of nestohedra and hypergraphic polytopes. The graph associahedron of a graph G encodes the combinatorics of search trees on G, defined recursively by a root r together with search trees on each of the connected components of G−r. In particular, the skeleton of the graph associahedron is the rotation graph of those search trees. We investigate the diameter of graph associahedra as a function of some graph parameters such as tree-depth and treewidth, and give tight estimates for specific families of graphs, including trivially perfect, complete split and complete bipartite graphs. This is a joint work with Lionel Pournin and Mario Valencia-Pabon from Université Sorbonne Paris Nord.

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