TL;DR
This paper explores methods for constructing complete matchings of cells in triangulated manifolds, serving as a combinatorial analogue to nonsingular vector fields.
Contribution
It introduces multiple techniques for constructing cell matchings, advancing combinatorial approaches to topological vector field analogues.
Findings
Presented several methods for constructing cell matchings.
Established connections between matchings and nonsingular vector fields.
Enhanced combinatorial tools for topological analysis.
Abstract
A (complete) matching of the cells of a triangulated manifold can be thought as a combinatorial or discrete version of a nonsingular vector field. We give several methods for constructing such matchings.
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Taxonomy
TopicsTopological and Geometric Data Analysis · Computational Geometry and Mesh Generation · Advanced Numerical Analysis Techniques