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arXiv · 1210.0943

Oriented Hypergraphs I: Introduction and Balance

Lucas J. Rusnak
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Abstract

An oriented hypergraph is an oriented incidence structure that extends the concept of a signed graph. We introduce hypergraphic structures and techniques central to the extension of the circuit classification of signed graphs to oriented hypergraphs. Oriented hypergraphs are further decomposed into three families -- balanced, balanceable, and unbalanceable -- and we obtain a complete classification of the balanced circuits of oriented hypergraphs.

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Lucas J. Rusnak. 2012-10-02. Oriented Hypergraphs I: Introduction and Balance. https://arxiv.org/abs/1210.0943

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