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A Mathematical Note on Sub-Optimization

✍ Scribed by A. W. Marshall

Book ID: 123683848
Publisher: Institute for Operations Research and the Management Sciences
Year: 1953
Weight: 179 KB
Volume: 1
Category: Article
ISSN: 0096-3984
DOI: 10.2307/166627

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## Abstract We present an algebraic proof of the following result: a set of edges of a multigraph __G__ is contained in some cycle of __G__ iff the set contains no odd cocycle of __G__ (“cycle” means here: edge disjoint sum of elementary cycles). As a corollary we obtain the characterization of sub