Phylogenetic trees, augmented perfect matchings, and a Thron-type continued fraction (T-fraction) for the Ward polynomials

DOI10.37236/9571zbMath1450.05076arXiv2001.01468OpenAlexW3093488147MaRDI QIDQ2205116

Andrew Elvey Price, Alan D. Sokal

Publication date: 20 October 2020

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.01468

zbMATH Keywords

perfect matchingsgenerating function of the Ward polynomialslabeled Dyck paths.

Mathematics Subject Classification ID

Problems related to evolution (92D15) Exact enumeration problems, generating functions (05A15) Partitions of sets (05A18) Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19) Paths and cycles (05C38) Graph labelling (graceful graphs, bandwidth, etc.) (05C78)

Related Items (3)

Lattice Paths and Branched Continued Fractions: An Infinite Sequence of Generalizations of the Stieltjes–Rogers and Thron–Rogers Polynomials, with Coefficientwise Hankel-Total Positivity ⋮ A simple algorithm for expanding a power series as a continued fraction ⋮ Unnamed Item

Cites Work

• Unnamed Item

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