Some formulas for the number of gluings
A. V. Pastor, O. P. Rodionova
TL;DR
This paper investigates formulas for counting the number of ways to glue surfaces of genus g, providing new proofs and formulas for gluings of spheres and tori from polygons.
Contribution
It introduces new formulas and proofs for counting gluings of surfaces, including spheres and tori, from polygons, advancing combinatorial surface enumeration.
Findings
Formulas for gluings of a sphere from three polygons.
Formulas for gluings of a sphere from two bicolored polygons.
New proofs for gluings of a sphere and torus from two polygons.
Abstract
In this paper the number of ways to glue a surface of genus has been investigated. We've proven formulas for the number of gluings sphere from three polygons and from two bicolored polygons. Moreover, we've given a new proofs on the formulas for the number of gluings sphere and torus from two polygons.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.