Total positivity of some polynomial matrices that enumerate labeled trees and forests. II. Rooted labeled trees and partial functional digraphs

DOI10.1016/J.AAM.2024.102703arXiv2302.03999OpenAlexW4394952213MaRDI QIDQ6425820

Alan D. Sokal, Xi Chen

Publication date: 8 February 2023

Full work available at URL: https://doi.org/10.1016/j.aam.2024.102703

Mathematics Subject Classification ID

Trees (05C05) Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Enumeration in graph theory (05C30) Combinatorial inequalities (05A20) Positive matrices and their generalizations; cones of matrices (15B48) Moment problems and interpolation problems in the complex plane (30E05) Moment problems (44A60) Graph labelling (graceful graphs, bandwidth, etc.) (05C78) Matrices of integers (15B36) Toeplitz, Cauchy, and related matrices (15B05)

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