A Counting Problem in Linear Programming
نویسنده
چکیده
Using a popular setup, in solving a linear programming problem one looks for a tableau of the problem which has no negative elements in the last column and no positive elements in the last row. We study a matrix whose (i, j)–th entry counts the tableaux for such a problem (here taken to be totally nondegenerate) which have i negative elements in the last column and j positive elements in the last row. It is shown that this matrix possesses a certain symmetry, which is described.
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تاریخ انتشار 2009