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math.CO2014★ 2 cited
Recipe theorems for polynomial invariants on ribbon graphs with half-edges
Remi C. Avohou, Joseph Ben Geloun, Mahouton N. Hounkonnou
We provide recipe theorems for the Bollobàs and Riordan polynomial defined on classes of ribbon graphs with half-edges introduced in arXiv:1310.3708[math.GT]. We also…
math.CO2012★ 7 cited
On terminal forms for topological polynomials for ribbon graphs: The -petal flower
Remi C. Avohou, Joseph Ben Geloun, Etera R. Livine
The Bollobas-Riordan polynomial [Math. Ann. 323, 81 (2002)] extends the Tutte polynomial and its contraction/deletion rule for ordinary graphs to ribbon graphs. Given a ribbon grap…