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Erdős matching conjecture for almost perfect matchings
Discrete Mathematics, 2023In 1965 Erdős asked, what is the largest size of a family of $k$-element subsets of an $n$-element set that does not have a matching of size $s+1$? In this note, we improve upon a recent result of Frankl and resolve this problem for $s>101k^{3}$ and $(s+1)k\le n<(s+1)(k+\frac{1}{100k})$.
Andrey Kupavskii
exaly +2 more sources
Smallest close to regular bipartite graphs without an almost perfect matching
Acta Mathematica Sinica, English Series, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lutz Volkmann, Volkmann Lutz
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The matching preclusion problem, introduced by Brigham et al. [R.C. Brigham, F. Harary, E.C. Violin, and J. Yellen, Perfect-matching preclusion, Congressus Numerantium 174 (2005) 185–192], studies how to effectively make a graph have neither perfect ...
Jung-Heum Park, Insung Ihm
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Matching preclusion for k-ary n-cubes
The (conditional) matching preclusion number of a graph is the minimum number of edges whose deletion leaves a resulting graph (with no isolated vertices) that has neither perfect matchings nor almost perfect matchings.
Shiying Wang +2 more
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Waiting time problem for an almost perfect match
Statistics & Probability Letters, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Han, Qing, Hirano, Katuomi
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RELAX NG and DITA: An Almost Perfect Match
Balisage Series on Markup Technologies, 2014The DITA vocabulary architecture defines a formal and controlled mechanism for configuring and extending the base DITA vocabulary. The architecture is independent of any XML document grammar facility in that DITA only requires that document instances exhibit specific attributes that serve to declare the document's effective document type (set of ...
Eliot Kimber, George Bina
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Almost fair perfect matchings in complete bipartite graphs
Discrete MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abeer Othman, Eli Berger
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