# GT

Seminars are given every Friday from 2:00 to 3:00 (usually in room 178, but not for the time being). You are welcome 10 minutes earlier for tea, coffee and cake.

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**Next talks:**

The talks are now also available online : https://webconf.u-bordeaux.fr/b/mar-ef4-zed.

Vendredi 20 mai à 14h - Alexandra Wesolek

On asymptotic packing of geometric graphs

**Only offline, no online version**

A geometric graph G is a graph drawn in the Euclidean plane such that its vertices are points in general position and its edges are drawn as straight line segments. Given a complete geometric graph H_n on n vertices, we are interested in finding a large collection of plane copies of a graph G in H_n such that each edge of H_n appears in at most one copy of G. We say a graph G is geometric-packable if for every sequence of geometric complete graphs $(H_n)_{n \geq 1}$ all but o(n^2) edges of H_n can be packed by plane copies of G. In a joint work with Daniel W. Cranston, Jiaxi Nie and Jacques Verstraete, we study geometric-packability and show that if G is a triangle, plane 4-cycle or plane 4-cycle with a chord, the set of plane drawings of G is geometric-packable. In contrast, the analogous statement is false when G is nearly any other planar Hamiltonian graph (with at most 3 possible exceptions).