On tournaments combinatorics
Joaqu\'in Casta\~neda, Vinicio G\'omez
TL;DR
This paper offers a new proof of a proposition related to tournaments, complexes, and persistent homology, contributing to the mathematical understanding of these structures.
Contribution
It provides a novel proof of an existing proposition in the area of tournaments and topological data analysis.
Findings
New proof of a key proposition in tournament complexes
Enhanced understanding of directionality filtrations
Implications for persistent homology analysis
Abstract
In this paper we present a new proof of a proposition presented in the article: Complexes of tournaments, directionality filtrations and persistent homology. This paper is part of Joaqu\'in Casta\~neda's undergraduate thesis.
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Taxonomy
TopicsTopological and Geometric Data Analysis · Homotopy and Cohomology in Algebraic Topology · Advanced Combinatorial Mathematics