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The Horton-Strahler number of butterfly trees

math.PR · 2025-09-14 · unverdicted · novelty 6.0

Butterfly trees have Horton-Strahler numbers scaling linearly with depth: exactly pq/(1-pq) per level in the simple model via an 8-state Markov chain, and approximately 0.445 in the general uniform model per simulations.

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  • The Horton-Strahler number of butterfly trees math.PR · 2025-09-14 · unverdicted · none · ref 28

    Butterfly trees have Horton-Strahler numbers scaling linearly with depth: exactly pq/(1-pq) per level in the simple model via an 8-state Markov chain, and approximately 0.445 in the general uniform model per simulations.