Completing partial latin squares with prescribed diagonals

نویسنده

  • Martin Grüttmüller
چکیده

This paper deals with completion of partial latin squares L = (lij) of order n with k cyclically generated diagonals (li+t,j+t = lij + t if lij is not empty; with calculations modulo n). There is special emphasis on cyclic completion. Here, we present results for k = 2, . . . , 7 and odd n ≤ 21, and we describe the computational method used (hill-climbing). Noncyclic completion is investigated in the cases k = 2, 3 or 4 and n ≤ 21.

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عنوان ژورنال:
  • Discrete Applied Mathematics

دوره 138  شماره 

صفحات  -

تاریخ انتشار 2004