@inbook{22f742f3203e4c929b314c1995bbb477,
title = "Discussion of Matching Optimization Problem and Representation of Matchings",
abstract = "In this chapter, we discuss the problem of optimization of matchings in trees including its relation to the kidney paired donation. We did not find a conventional circuit without repetitions that represents the set of all matchings for an arbitrary tree. Instead of a circuit, we construct a labeled forest to describe the set of matchings [7]. We use this forest in multi-stage and bi-criteria optimization and counting matchings.",
author = "Michal Mankowski and Mikhail Moshkov",
note = "Publisher Copyright: {\textcopyright} The Author(s), under exclusive license to Springer Nature Switzerland AG 2021.",
year = "2021",
doi = "10.1007/978-3-030-63920-4_14",
language = "English (US)",
series = "Studies in Systems, Decision and Control",
publisher = "Springer Science and Business Media Deutschland GmbH",
pages = "159--164",
booktitle = "Studies in Systems, Decision and Control",
address = "Germany",
}