Mardi 8 Décembre
Heure: 
14:00  17:00 
Lieu: 
Salle B107, bâtiment B, Université de Villetaneuse 
Résumé: 
Colored triangulations of arbitrary dimensions are stuffed Walsh maps 
Description: 
Luca Lionni Regular Dedgecolored graphs encode Ddimensional colored triangulations ofpseudomanifolds. We study such families of edgecolored graphs built from afinite but arbitrary set of building blocks, which extend the notion ofpangulations to arbitrary dimensions. I will introduce a bijection between anysuch family and some colored combinatorial maps which we call stuffed Walshmaps. Those maps generalize Walsh's representation of hypermaps as bipartitemaps, by replacing the vertices which correspond to hyperedges withnonproperlyedgecolored maps.We are interested in the number of bichromatic cycles of the initialedgecolored graphs because because they encode the curvature of thecorresponding triangulated pseudomanifold. I will therefore present new toolsthat use the bijection in order to study the graphs which maximize the numberof bichromatic cycles at fixed number of vertices and provide examples wherethe corresponding stuffed Walsh maps can be completely characterized. 
Heure: 
15:00  18:00 
Lieu: 
Salle B107, bâtiment B, Université de Villetaneuse 
Résumé: 
Combinatoire analytique des graphes et hypergraphes 
Description: 
Elie de Panafieu 

