Existence of incomplete resolvable minimum coverings of pairs by triples

نویسندگان

  • Hao Shen
  • Renwang Su
  • Dameng Deng
چکیده

For given positive integers u and v with u ≡ v ≡ 0 (mod 6), let IRC(u; v) denote an incomplete resolvable minimum covering of pairs by triples of order u having a hole of size v. It is proved in this paper that there exists such an IRC(u; v) if and only if u¿ 3v. c © 2003 Elsevier B.V. All rights reserved.

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عنوان ژورنال:
  • Discrete Mathematics

دوره 279  شماره 

صفحات  -

تاریخ انتشار 2004