Article ID Journal Published Year Pages File Type
4657169 Journal of Combinatorial Theory, Series B 2010 10 Pages PDF
Abstract

A triangulation of a surface is irreducible if there is no edge whose contraction produces another triangulation of the surface. We prove that every irreducible triangulation of a surface with Euler genus g⩾1 has at most 13g−4 vertices. The best previous bound was 171g−72.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics