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Large sets of extended directed triple systems with odd orders
Authors:Yuanyuan Liu
Institution:
  • a Department of Fundamental Science, North China Institute of Aerospace Engineering, Langfang 065000, PR China
  • b Institute of Mathematics, Hebei Normal University, Shijiazhuang 050016, PR China
  • Abstract:For three types of triples, unordered, cyclic and transitive, the corresponding extended triple, extended triple system and their large set are introduced. The spectrum of LEDTS(v) for even v has been given in our paper (Liu and Kang (2009) 9]). In this paper, we shall discuss the existence problem of LEDTS(v) for odd v and give the almost complete conclusion: there exists an LEDTS(v) for any positive integer v≠4 except possible v=95,143,167,203,215.
    Keywords:Extended triple  Extended triple system  Large set
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