The exact bound in the Erdős-Ko-Rado theorem
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Publication:761464
DOI10.1007/BF02579226zbMath0556.05039OpenAlexW2006901918WikidataQ105583323 ScholiaQ105583323MaRDI QIDQ761464
Publication date: 1984
Published in: Combinatorica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02579226
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Cites Work