Large sets of extended directed triple systems with odd orders |
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Authors: | Yuanyuan Liu |
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Institution: | a Department of Fundamental Science, North China Institute of Aerospace Engineering, Langfang 065000, PR Chinab Institute of Mathematics, Hebei Normal University, Shijiazhuang 050016, PR China |
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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. |
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Keywords: | Extended triple Extended triple system Large set |
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