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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. |
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