English

Arboretum for a generalization of Ramanujan polynomials

Combinatorics 2019-05-07 v1

Abstract

In this paper, we expand on the work of Guo and Zeng from 2007 on a generalization of the Ramanujan polynomials and planar trees. We manage to find combinatorial interpretations of this family of polynomials in terms of Greg trees, Cayley trees, and planar trees by constructing bijections that preserve relevant tree statistics.

Keywords

Cite

@article{arxiv.1905.02083,
  title  = {Arboretum for a generalization of Ramanujan polynomials},
  author = {Lucas Randazzo},
  journal= {arXiv preprint arXiv:1905.02083},
  year   = {2019}
}
R2 v1 2026-06-23T08:58:14.033Z