On frame self-orthogonal Latin squares of type hm1n
نویسنده
چکیده
An SOLS (self orthogonal Latin square) of order v with ni missing subSOLS (holes) of order hi (1 ≤ i ≤ k), which are disjoint and spanning (i.e. ∑k i=1 nihi = v), is called a frame SOLS and denoted by FSOLS(h n1 1 h n2 2 · · ·hk k ). In this paper, we prove that: if h ≥ 7, m ≥ 4, n ≥ 4 and n = 6, then there exists an FSOLS(h1); an FSOLS(h1) exists if h ≥ 7, h = 8, 12, 28 and m ≥ 17.
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عنوان ژورنال:
- Australasian J. Combinatorics
دوره 30 شماره
صفحات -
تاریخ انتشار 2004