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The Knowlton-Graham partition problem

Donald E. Knuth
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Abstract

A set partition technique that is useful for identifying wires in cables can be recast in the language of 0--1 matrices, thereby resolving an open problem stated by R.~L. Graham in Volume 1 of this journal. The proof involves a construction of 0--1 matrices having row and column sums without gaps.

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Donald E. Knuth. 1995-02-09. The Knowlton-Graham partition problem. https://arxiv.org/abs/math/9502237

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