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Perfect matching preservers - MaRDI portal

Perfect matching preservers (Q870013)

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scientific article; zbMATH DE number 5132808
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Perfect matching preservers
scientific article; zbMATH DE number 5132808

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    Perfect matching preservers (English)
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    12 March 2007
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    Summary: For two bipartite graphs \(G\) and \(G'\), a bijection \(\psi: E(G)\rightarrow E(G')\) is called a (perfect) matching preserver provided that \(M\) is a perfect matching in \(G\) if and only if \(\psi(M)\) is a perfect matching in \(G'\). We characterize bipartite graphs \(G\) and \(G'\) which are related by a matching preserver and the matching preservers between them.
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