11 research outputs found
Recipe theorems for polynomial invariants on ribbon graphs with half-edges
We provide recipe theorems for the Bollob\`as and Riordan polynomial
defined on classes of ribbon graphs with half-edges introduced in
arXiv:1310.3708[math.GT]. We also define a generalized transition polynomial
on this new category of ribbon graphs and establish a relationship between
and .Comment: 24 pages, 14 figure