On the Length of a Partial Independent Transversal in a Matroidal Latin Square
نویسندگان
چکیده
We suggest and explore a matroidal version of the Brualdi Ryser conjecture about Latin squares. We prove that any n × n matrix, whose rows and Columns are bases of a matroid, has an independent partial transversal of length d2n/3e. We show that for any n, there exists such a matrix with a maximal independent partial transversal of length at most n− 1.
منابع مشابه
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عنوان ژورنال:
- Electr. J. Comb.
دوره 19 شماره
صفحات -
تاریخ انتشار 2012