On the minimum order of a quadrangulation on a given closed 2-manifold
Combinatorics
2012-08-28 v1 Discrete Mathematics
Algebraic Topology
Geometric Topology
Abstract
A partial formula is provided to calculate the smallest number of vertices possible in a quadrangulation on the closed orientable 2-manifold of given genus. This extends the previously known partial formula due to N. Hartsfield and G. Ringel [J. Comb. Theory, Ser. B, 1989, 46, 84-95].
Keywords
Cite
@article{arxiv.1208.5207,
title = {On the minimum order of a quadrangulation on a given closed 2-manifold},
author = {Serge Lawrencenko},
journal= {arXiv preprint arXiv:1208.5207},
year = {2012}
}
Comments
5 pages. arXiv admin note: text overlap with arXiv:1207.1882