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math.CO2025
Horton-Strahler numbers for binary butterfly trees: exact analysis
Helmut Prodinger
Peca suggested in a recent paper on the arxiv to consider binary butterfly trees and their Horton-Strahler numbers. The trees are obtained by glueing two binary trees together in a…
math.CO2024
k-non-crossing trees and edge statistics modulo k
Helmut Prodinger
Instead of -Dyck paths we consider the equivalent concept of -non-crossing trees. This is our preferred approach relative to down-step statistics modulo (first studied by…