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

Jianguo Lei, Yanxun Chang, Giovanni Lo Faro, Antoinette Tripodi

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}.

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DOI: http://dx.doi.org/10.1478/C1A1002003