Jan 25, 2019 · In this paper we introduce and study a generalization of these objects for the toroidal case. Contrary to what happens in the plane, the set of ...
May 30, 2018 · Abstract. Transversal structures (also known as regular edge labelings) are combinatorial structures defined over 4-connected plane ...
Jul 9, 2019 · Abstract:We present a bijection for toroidal maps that are essentially 3-connected (3-connected in the periodic planar representation).
Our bijection, closely related to the recent one by Bonichon and Lévêque for essentially 4-connected toroidal triangulations, can be seen as the toroidal ...
[PDF] A bijection for triangulations, quadrangulations ...
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A bijection for essentially 4-connected toroidal triangulations · Nicolas BonichonBenjamin Lévêque. Mathematics. Electron. J. Comb. 2019. TLDR. This paper ...
Lévêque, A. Pinlou, Journal of Graph Algorithms and Applications 23 (2019) 745-753. A bijection for essentially 4-connected toroidal triangulations (pdf)
Our construction unifies known bijections by Fusy, Poulalhon and Schaeffer for triangulations ($d=3$) and by Schaeffer for quadrangulations ($d=4$). For $d\geq ...
Nov 20, 2020 · Our bijection, closely related to the recent one by Bonichon and Lévêque for essentially 4-connected toroidal triangulations, can be seen as ...
Table of n, a(n) for n=0..21. N. Bonichon and B. Lévêque, A bijection for essentially 4-connected toroidal triangulations, arXiv preprint arXiv:1707.08191 [cs.
We present unified bijections for maps on the torus with control on the face-degrees and essential girth (girth of the periodic planar representation).