15 citations · 52 across the 17 of their papers we have counts for
11 papers · 1 filter
On a conjecture of Gross, Mansour and Tucker for -matroids
Remi Cocou Avohou
Gross, Mansour, and Tucker introduced the partial-duality polynomial of a ribbon graph [Distributions, European J. Combin. 86, 1--20, 2020], the generating function enumerating par…
Canonical binary -matroids
Rémi Cocou Avohou, Brigitte Servatius, Herman Servatius
The handle slide operation, originally defined for ribbon graphs, was extended to delta-matroids by I. Moffatt and E. Mphako-Bandab, who show that, using a delta-matroid analogue o…
Maps and -matroids revisited
Rémi Cocou Avohou, Brigitte Servatius, Herman Servatius
Using Tutte's combinatorial definition of a map we define a -matroid purely combinatorially and show that it is identical to Bouchet's topological definition.
Generate -matroids from matroids
Rémi Cocou Avohou, Brigitte Servatius, Herman Servatius
We give necessary and sufficient conditions for two matroids on the same ground set to be the upper and lower matroid of a -matroid.
A complete characterization of -pairs of 6-polytopes
Karim Adiprasito, Rémi Cocou Avohou
We completely characterize the first two entries, namely the -vector pairs, for -dimension polytopes. We also find the characterization for -dimension polytopes w…
Finding classes of delta-matroids closed under handle slides
Rémi Cocou Avohou
In this work, we study the operations of handle slides introduced recently for delta-matroids by Iain Moffatt and Eunice Mphako-Banda. We then prove that the class of binary delta-…
Embedding Half-Edge Graphs in Punctured Surfaces
Remi C. Avohou, Joseph Ben Geloun, Mahouton N. Hounkonnou
It is known that graphs cellularly embedded into surfaces are equivalent to ribbon graphs. In this work, we generalize this statement to broader classes of graphs and surfaces. Hal…
The expansion of polynomial invariants for -decompositions of generalized graphs
Remi Cocou Avohou
The -decomposition for ribbon graphs was introduced in [Annals of Combinatorics 15 (2011), pp 675-706]. We extend this result to half-edged ribbon graphs and to rank -weakly…
Polynomial Invariants for Arbitrary Rank Weakly-Colored Stranded Graphs
Remi Cocou Avohou
Polynomials on stranded graphs are higher dimensional generalization of Tutte and Bollobás-Riordan polynomials [Math. Ann. 323 (2002), 81-96]. Here, we deepen the analysis of the p…
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…
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…