English

Complexity of graph evolutions

Combinatorics 2024-12-03 v1 Discrete Mathematics

Abstract

A permutation of the elements of a graph is a {\it construction sequence} if no edge is listed before either of its endpoints. The complexity of such a sequence is investigated by finding the delay in placing the edges, an {\it opportunity cost} for the construction sequence. Maximum and minimum cost c-sequences are provided for a variety of graphs and are used to measure the complexity of graph-building programs.

Keywords

Cite

@article{arxiv.2412.00212,
  title  = {Complexity of graph evolutions},
  author = {Jeffrey Gao and Paul C. Kainen},
  journal= {arXiv preprint arXiv:2412.00212},
  year   = {2024}
}
R2 v1 2026-06-28T20:17:36.135Z