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Matching

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CATBox

Abstract

Undirected graphs can also be interpreted in another way, namely as a representation of symmetric binary relations. Vertices represent objects and an edge {u, v} indicates that u and v are related. Take the assignment of students which share a room in a dormitory as an example. The students are our objects and the relation is sharing-aroom. The endpoints of any edge are roommates. If there are only double rooms in the dormitory, a pairing of roommates is a matching.

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Correspondence to Winfried Hochstättler .

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© 2010 Springer-Verlag Berlin Heidelberg

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Hochstättler, W., Schliep, A. (2010). Matching. In: CATBox. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03822-8_8

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