Irreducible triangulations of low genus surfaces
Thom Sulanke
TL;DR
This paper reviews known irreducible triangulations of low genus surfaces, analyzing their properties to deepen understanding of their structure and classification.
Contribution
It provides a detailed examination of the properties of irreducible triangulations for low genus surfaces, expanding on existing classifications.
Findings
Properties of irreducible triangulations are characterized.
Complete sets are known for specific low genus surfaces.
Insights into structural features of these triangulations.
Abstract
The complete sets of irreducible triangulations are known for the orientable surfaces with genus of 0, 1, or 2 and for the nonorientable surfaces with genus of 1, 2, 3, or 4. By examining these sets we determine some of the properties of these irreducible triangulations.
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Taxonomy
TopicsGeometric and Algebraic Topology · Algebraic Geometry and Number Theory · Advanced Combinatorial Mathematics