CONSTRUCTIONS OF (0, 1)-MATRIX WITH PERMANENT k

Abstract

The purpose of this paper is to show that for each integer k where 1 ≥ k ≥ 2n−1, there exists an n × n(0, 1)-matrix A with exactly P erA = k. Thus we introduce a constructive approch for such matrices. Using the permanent of (0, 1)-matrix, we decomposed the number n! with an linear combination of the power of 2. That coefficient is an stiring number.

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