English

Enumerations of (K_4-e)-designs with small orders

Combinatorics 2014-02-28 v1

Abstract

It is established that up to isomorphism,there are only one (K_4-e)-design of order 6, three (K_4-e)-designs of order 10 and two (K_4-e)-designs of order 11. As an application of our enumerative results, we discuss the fine triangle intersection problem for (K_4-e)-designs of orders v=6,10,11.

Keywords

Cite

@article{arxiv.1402.6747,
  title  = {Enumerations of (K_4-e)-designs with small orders},
  author = {Yanxun Chang and Tao Feng and Giovanni Lo Faro and Antoinette Tripodi},
  journal= {arXiv preprint arXiv:1402.6747},
  year   = {2014}
}
R2 v1 2026-06-22T03:16:44.774Z