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.
A note on the H orton- S trahler number for random trees
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The Horton-Strahler number of butterfly trees
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.