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

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Ben Geloun,  Joseph
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1410.7039.pdf
(Preprint), 728KB

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Citation

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


Cite as: http://hdl.handle.net/11858/00-001M-0000-0027-BAB5-0
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 $\mathcal{R}$.