CATBox pp 111-128 | Cite as

Matching

Chapter

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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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  1. 1.Fakultät für Mathematik und InformatikFernUniversität in HagenHagenGermany
  2. 2.Department of Computer Science and BioMaPS Institute for Quantitative Biology RutgersThe State University of New JerseyPiscatawayUSA

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