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

Avohou, R. C., Ben Geloun, J., & Hounkonnou, M. N. (in preparation). Recipe theorems for polynomial invariants on ribbon graphs with half-edges.

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1410.7039.pdf (Preprint), 728KB
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Avohou, Remi C., Author
Ben Geloun, Joseph1, Author           
Hounkonnou, Mahouton N., Author
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1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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Free keywords: Mathematics, Combinatorics, math.CO,
 Abstract: We provide recipe theorems for the Bollob\`as 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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 Dates: 2014-10-26
 Publication Status: Not specified
 Pages: 24 pages, 14 figures
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 Table of Contents: -
 Rev. Type: -
 Identifiers: arXiv: 1410.7039
URI: http://arxiv.org/abs/1410.7039
 Degree: -

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