2 papers
math.CO2026
Infinitesimal Bialgebra on Planar Binary Trees
Yong Yu, Xing Gao
We construct a weight-zero infinitesimal bialgebra structure on the $\bk$-module spanned by planar binary trees, using the under product of Aguiar--Sottileand a root-r…
math.CO2026
Fertility fibres and coproduct coefficients in the LOT Hopf algebra
Zhicheng Zhu, Jingtao Li, Xing Gao
We study fibres of the fertility map from decorated rooted trees to decorated multi-index monomials. For a multi-index of weight , the fibre $\mathcal F_{\mat…