Decomposition of tournament limits

نویسنده

  • Erik Thörnblad
چکیده

The theory of tournament limits and tournament kernels (often called graphons) is developed by extending common notions for finite tournaments to this setting; in particular we study transitivity and irreducibility of limits and kernels. We prove that each tournament kernel and each tournament limit can be decomposed into a direct sum of irreducible components, with transitive components interlaced. We also show that this decomposition is essentially unique.

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عنوان ژورنال:
  • Eur. J. Comb.

دوره 67  شماره 

صفحات  -

تاریخ انتشار 2018