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arXiv · 2406.00149

Graphs and Their Clique Complexes Are Pseudotopological Weakly Homotopy Equivalent

Jonathan Treviño-Marroquín
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Abstract

We establish a connection between the graphs and their geometric realizations of their clique complexes, proving that graphs with their canonical pseudotopological structure, are weakly homotopy equivalent to the geometric realization of their clique complex.

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Jonathan Treviño-Marroquín. 2024-05-31. Graphs and Their Clique Complexes Are Pseudotopological Weakly Homotopy Equivalent. https://arxiv.org/abs/2406.00149

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