hide
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 $\mathcal{R}$.