Extreme tournaments with given primitive exponents

نویسندگان

  • Shang-wang Tan
  • Bolian Liu
  • Delong Zhang
چکیده

Let e(Tn) be the primitive exponent of a primitive tournament Tn of order n. In this paper, we obtain the following results. 1. Let Tn be a regular or almost regular tournament of order n ≥ 7; then e(Tn) = 3. 2. Let k ∈ {n, n + 1, n + 2}. We give the sufficient and necessary conditions for Tn such that e(Tn) = k, and obtain all Tn’s such that e(Tn) = k.

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عنوان ژورنال:
  • Australasian J. Combinatorics

دوره 28  شماره 

صفحات  -

تاریخ انتشار 2003