Rainbow perfect matchings in r-partite graph structures

نویسندگان

  • Pilar Cano
  • Guillem Perarnau
  • Oriol Serra
چکیده

A latin transversal in a square matrix of order n is a set of entries, no two in the same row or column, which are pairwise distinct. A longstanding conjecture of Ryser states that every Latin square with odd order has a latin transversal. Some results on the existence of a large partial latin transversal can be found in [11,6,16]. Mainly motivated by Ryser’s conjecture, Erdős and Spencer [8] proved the following result:

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عنوان ژورنال:
  • Electronic Notes in Discrete Mathematics

دوره 54  شماره 

صفحات  -

تاریخ انتشار 2016