Enumeration of \(r\)-regular maps on the torus. I: Rooted maps on the torus, the projective plane and the Klein bottle. Sensed maps on the torus
From MaRDI portal
Publication:1625822
DOI10.1016/j.disc.2018.07.013zbMath1400.05019arXiv1709.03225OpenAlexW2894220321WikidataQ60692161 ScholiaQ60692161MaRDI QIDQ1625822
Evgeniy Krasko, Alexander Omelchenko
Publication date: 29 November 2018
Published in: Discrete Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1709.03225
Related Items (4)
Modular groups and planar maps ⋮ Enumeration of unsensed \(r\)-regular maps on the projective plane and the Klein bottle ⋮ Enumeration of unsensed orientable and non-orientable maps ⋮ Enumeration of rooted 4-regular maps without planar loops
Uses Software
Cites Work
- Unnamed Item
- Counting 2-connected 4-regular maps on the projective plane
- Enumeration of 4-regular one-face maps
- Enumeration of unrooted odd-valent regular planar maps
- Enumeration of unrooted hypermaps of a given genus
- Enumeration of maps regardless of genus: geometric approach
- The asymptotic number of rooted maps on a surface
- Relations fonctionnelles et dénombrement des cartes pointées sur le tore. (Functional relations and the enumeration of rooted genus one maps)
- The number of rooted triangular maps on a surface
- The number of rooted maps on an orientable surface
- Enumeration of \(k\)-poles
- The number of degree restricted maps on general surfaces
- Enumeration of rooted cubic planar maps
- 4-regular maps on the Klein bottle
- The number of loopless \(4\)-regular maps on the projective plane
- Polynomial equations with one catalytic variable, algebraic series and map enumeration
- Enumeration of unrooted maps of a given genus
- On the existence of square roots in certain rings of power series
- Counting rooted maps by genus. I
- Efficient enumeration of rooted maps of a given orientable genus by number of faces and vertices
- A Census of Planar Triangulations
- A Census of Slicings
- Theory of Maps on Orientable Surfaces
- The Number of Degree-Restricted Rooted Maps on the Sphere
- The Enumeration of Maps on the Torus and the Projective Plane
- Enumeration of Rooted Triangular Maps
- Enumeration of Triangulations of the Disk
- Enumeration of Quadrangular Dissections of the Disk
- On Counting Rooted Triangular Maps
- On the enumeration of planar maps
- A Census of Planar Maps
- Enumeration of Non-Separable Planar Maps
- Enumerating near-4-regular maps on the sphere and the torus
This page was built for publication: Enumeration of \(r\)-regular maps on the torus. I: Rooted maps on the torus, the projective plane and the Klein bottle. Sensed maps on the torus