Mardi 30 Septembre

Retour à la vue des calendrier
Mardi 30 Septembre
Heure: 14:00 - 17:00
Lieu: Salle B107, bâtiment B, Université de Villetaneuse
Résumé: Polynomials invariants on stranded graphs
Description: Joseph Ben Geloun Tutte polynomial is a 2-variable polynomial defined on a graph whichsatisfies a contraction/deletion recurrence relation. This polynomialgeneralizes into the so-called Bollobas-Riordan (4-variable) polynomial forribbon graphs which also satisfies a similar recurrence rule. In the recentPhysics literature, there exists a growing interest for a new category ofgraphs called rank d stranded graphs. Such graphs encompass simple andribbon graph structures and represent simplicial complexes in any dimensiond. I will introduce a genuine 7-variable polynomial on these graphstructures when restricted in rank 3 and when provided with a specificcoloring. The polynomial satisfies a new contraction/cut rule. The procedurecan be certainly extended in any rank.