Exact Counts of Binary Phylogenetic Networks with Four Reticulations

arXiv:2609.21772 · q-bio.PE, math.CO · Submitted 2026-09-18 · Read on arXiv

q-bio.PE, math.CO

Submitted: 2026-09-18

Updated: 2026-10-01

Comments: 18 figures. The second version added several relevant references on the enumeration of restricted classes of phylogenetic networks and updated the related work-discussion in the Introduction section. We appreciate the suggestions from Prof. Josep Batle. The main results and proofs are unchanged

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Benchmark — 1× in this paper · explained in 2 episodes
• Graph Construction — 1× in this paper · explained in 3 episodes

Sources

• Combinatorial identities and hypergeometric series

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