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arXiv · 1410.7039

Recipe theorems for polynomial invariants on ribbon graphs with half-edges

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

We provide recipe theorems for the Bollobàs and Riordan polynomial $\mathcal{R}$ defined on classes of ribbon graphs with half-edges introduced in arXiv:1310.3708[math.GT]. We also define a generalized transition polynomial $Q$ on this new category of ribbon graphs and establish a relationship between $Q$ and $\mathcal{R}$.

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Remi C. Avohou, Joseph Ben Geloun, Mahouton N. Hounkonnou. 2014-10-26. Recipe theorems for polynomial invariants on ribbon graphs with half-edges. https://arxiv.org/abs/1410.7039

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