An update on Mincs survey of open problems involving permanents

Abstract

The progress made on the conjecture and open problems listed in H.Minc's survey articles on the theory of permanents, is discussed. A noteworthy feature of these surveys was a catalogue of conjectures and open problems which spurred advances in the field. The problems included finding an algorithm for the characteristic polynomial of the kth permanental compound of a given square matrix. The problems also included finding an algorithm for the perron root of the kth permanental compound of a given non-negative square matrix. Show more