Short catalog of plane ten-edge trees

TL;DR

This paper provides a comprehensive catalog of all plane binary trees with ten edges, including their passports and Galois orbits, contributing to the classification of such trees.

Contribution

It presents the complete list of passports and Galois orbits for plane binary trees with ten edges, a novel enumeration in this area.

Findings

List of all passports for plane binary trees with ten edges

Complete enumeration of Galois orbits for these trees

Identification of decomposable types

Abstract

A type is the set of all pairwise nonisotopic binary trees with the same passport. A type is called decomposable, if it is a union of several Galois orbits. In this work we present the list of all passports of plane binary trees with ten edges and the list of all Galois orbits.