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Balanced Minimum Covers of a Finite Set

Alewyn P Burger1 & Jan H van Vuuren2


Abstract

In this paper a method of enumeration for n-balanced, labelled, minimum covers of a finite set of m indistinguishable elements is developed. The method is then used to tabulate the number of such covers for small values of m and n by means of a generating function.


An electronic version of the complete paper may be obtained here: [pdf].


Affiliations

1 Department of Logistics, Stellenbosch University, Private Bag X1, Matieland, 7602, Republic of South Africa, email: apburger@sun.ac.za.

2 Department of Logistics, Stellenbosch University, Private Bag X1, Matieland, 7602, Republic of South Africa, email: vuuren@sun.ac.za.


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