Constructions for large sets of disjoint compatible packings on 6k+5 points

Autori

  • Jianguo Lei Hebei Teacher's University & Beijing Jiaotong University
  • Yanxun Chang Beijing Jiaotong University
  • Giovanni Lo Faro Università degli Studi di Messina
  • Antoinette Tripodi Università degli Studi di Messina

DOI:

https://doi.org/10.1478/C1A1002003

Abstract

In this paper, we give two methods to construct large sets of disjoint compatible packings (LMP(1vC4)) on 6k+5 points. As a result, we prove that there exists an (LMP(1vC4)) for v=7i uj where i ≥ 0, j ≥ 1 and u ∈ {13, 19, 25, 31, 43, 67, 139, 163, 211, 283, 307, 331, 379}.

Pubblicato

2010-09-17

Fascicolo

Sezione

Articoli