Universality for polynomial invariants on ribbon graphs with half-ribbons

Remi C. Avohou; Joseph Ben Geloun; Mahouton N. Hounkonnou

doi:10.1016/j.dam.2022.11.005

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arXiv · 1310.3708

Universality for polynomial invariants on ribbon graphs with half-ribbons

Remi C. Avohou·Joseph Ben Geloun·Mahouton N. Hounkonnou

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Abstract

In this paper, we analyze the Bollob\'as and Riordan polynomial $\mathcal{R}$ for ribbon graphs with half-ribbons introduced in [Combinatorics, Probability and Computing 31, 507-549, 2022]. We prove the universality property of a multivariate version of $\mathcal{R}$ whereas $\mathcal{R}$ itself turns out to be universal for a subclass of ribbon graphs with half-ribbons. We also show that $\mathcal{R}$ can be defined on some equivalence classes of ribbon graphs involving half-ribbons moves and that the new polynomial is universal on these classes.

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BibTeX RIS

Remi C. Avohou, Joseph Ben Geloun, Mahouton N. Hounkonnou. 2013-10-14. Universality for polynomial invariants on ribbon graphs with half-ribbons. https://doi.org/10.1016/j.dam.2022.11.005

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