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

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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