Saugata Basu

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essential simplices 1 graph theory 1 harmonic cycles 1 one-dimensional bars 1 persistent homology 1

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math.AT2026

Essential Simplices Dominate in Harmonic Representatives of One-Dimensional Persistent Classes

Saugata Basu, Aldo GuzmÃ¡n-SÃ¡enz, Laxmi Parida

The paper proves that for generic one‑dimensional persistent homology classes, harmonic cycle representatives give strictly larger (in absolute value) coefficients to essential edg…