English

Counting Hamiltonian Paths in Transitive Tournaments

Combinatorics 2022-07-26 v1

Abstract

We construct a combinatorial function F which computes the number of oriented Hamiltonian paths of any given type, in a transitive tournament. We also study many properties of F that arise, and reach some observations.

Keywords

Cite

@article{arxiv.2207.11510,
  title  = {Counting Hamiltonian Paths in Transitive Tournaments},
  author = {Zeina Ghazo Hanna and Amine El Sahili},
  journal= {arXiv preprint arXiv:2207.11510},
  year   = {2022}
}
R2 v1 2026-06-25T01:10:11.754Z