English

Construction numbers: How to build a graph?

Combinatorics 2024-12-03 v6 Artificial Intelligence

Abstract

A construction sequence for a graph is a listing of the elements of the graph (the set of vertices and edges) such that each edge follows both its endpoints. The construction number of the graph is the number of such sequences. We determine this number for various graph families.

Keywords

Cite

@article{arxiv.2302.13186,
  title  = {Construction numbers: How to build a graph?},
  author = {Paul C. Kainen},
  journal= {arXiv preprint arXiv:2302.13186},
  year   = {2024}
}

Comments

11 pages

R2 v1 2026-06-28T08:49:37.712Z