In this paper, we survey some recent developments on statistical properties of matchings of very large and infinite graphs. We discuss extremal graph theoretic results like Schrijver’s theorem on the number of perfect matchings of regular bipartite graphs and its variants from the point of view of graph limit theory. We also study the number of matchings of finite and infinite vertex-transitive graphs.
CITATION STYLE
Csikvári, P. (2019). Statistical Matching Theory. In Bolyai Society Mathematical Studies (Vol. 28, pp. 195–221). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-662-59204-5_5
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