Spectrum of Permanent’s Values and Its Extremal Magnitudes in and

Vladimir Shevelev

Journal of Optimization, 2013, vol. 2013, 1-12

Abstract:

Let denote the class of square matrices containing in each row and in each column exactly 1’s. The minimal value of , for which the behavior of the permanent in is not quite studied, is . We give a simple algorithm for calculation of upper magnitudes of permanent in and consider some extremal problems in a generalized class , the matrices of which contain in each row and in each column nonzero elements , , and and zeros.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjopti:289829

DOI: 10.1155/2013/289829

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