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DAM
2016
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8 years 1 months ago
On the number of transversals in latin squares
The logarithm of the maximum number of transversals over all latin squares of order n is greater than n 6 (ln n + O(1)).
Vladimir N. Potapov
DAM
2016
74views more  DAM 2016»
8 years 1 months ago
Trichotomy for integer linear systems based on their sign patterns
In this paper, we consider solving the integer linear systems, i.e., given a matrix A ∈ Rm×n , a vector b ∈ Rm , and a positive integer d, to compute an integer vector x ∈ ...
Kei Kimura, Kazuhisa Makino