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math.GT2013★ 1 cited
Universality for polynomial invariants on ribbon graphs with half-ribbons
Remi C. Avohou, Joseph Ben Geloun, Mahouton N. Hounkonnou
In this paper, we analyze the Bollobás and Riordan polynomial for ribbon graphs with half-ribbons introduced in [Combinatorics, Probability and Computing 31, 507-549,…
math.GT2013★ 11 cited
Extending the Tutte and Bollobás-Riordan Polynomials to Rank 3 Weakly-Colored Stranded Graphs
Remi C. Avohou, Joseph Ben Geloun, Mahouton N. Hounkonnou
The Bollobás-Riordan polynomial [Math. Ann. 323, 81 (2002)] is a universal polynomial invariant for ribbon graphs. We find an extension of this polynomial for a particular family o…