A Remark on Transversal Numbers

János Pach ()
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János Pach: EPFL

A chapter in The Mathematics of Paul Erdős I, 2013, pp 541-549 from Springer

Abstract: Abstract In his classical monograph published in 1935, Dénes König [23] included one of Paul Erdős’s first remarkable results: an infinite version of the Menger theorem. This result (as well as the König-Hall theorem for bipartite graphs, and many related results covered in the book) can be reformulated as a statement about transversals of certain hypergraphs.

Keywords: Transversal Number; Hypergraph; Menger's Theorem; Infinite Version; Antipodal Vertices (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/978-1-4614-7258-2_34

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