English

The Telephone Exchange Problem Revisited: A Combinatorial Approach

Combinatorics 2025-06-06 v1

Abstract

In this study we revisit the telephone exchange problem. We discuss a generalization of the telephone exchange problem by discuss two generalizations of the Bessel polynomials. We study combinatorial properties of these polynomials, and show how the numbers are related to the well known Whitney numbers and Dowling numbers

Keywords

Cite

@article{arxiv.2506.05145,
  title  = {The Telephone Exchange Problem Revisited: A Combinatorial Approach},
  author = {Sithembele Nkonkobe},
  journal= {arXiv preprint arXiv:2506.05145},
  year   = {2025}
}

Comments

13 pages

R2 v1 2026-07-01T03:01:45.401Z