Lecture 5 : Lowerbound on the Permanent and Application to TSP
نویسندگان
چکیده
where Sn is the symmetric group of permutations on {1, 2, . . . , n}. Unlike the determinant, computing the exact value of the permanent of a given matrix is known to be #P-hard. Thus, most research has focused on finding approximation algorithms for and proving upper and lower bounds for restricted classes of matrices. A sharp upper-bound on the permanent the case of 0− 1 matrices was proved by Brégman: Theorem 5.1 (Brégman). If A is a 0− 1 matrix, then
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