What is recorded here?
Proved the sharp maximum size, under the stated relation between ground-set size and uniform subset size, for a pairwise-intersecting family of uniform finite sets and identified extremal structure in the principal range.
Source-linked catalogue note. A detailed explanatory guide has not yet been prepared for this entry.
Scientific scope
The record is the exact three-author 1961 Quarterly Journal of Mathematics paper. Its uniformity and size hypotheses matter; later Hilton-Milner, t-intersection, stability and probabilistic extensions remain separate.
Read the original work
- Oxford Academic page for the Erdős-Ko-Rado paper
- Erdős archive copy of the intersecting-families paper
This English explanation is an editorial reading view. It does not replace the complete original work or certify its science.
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People and systems
P. Erdős; Chao Ko; R. Rado
The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.
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English catalogue narrative
Erdős, Ko and Rado: intersecting families of finite sets
Proved the sharp maximum size, under the stated relation between ground-set size and uniform subset size, for a pairwise-intersecting family of uniform finite sets and identified extremal structure in the principal range.
Scientific scope
The record is the exact three-author 1961 Quarterly Journal of Mathematics paper. Its uniformity and size hypotheses matter; later Hilton-Milner, t-intersection, stability and probabilistic extensions remain separate.
Reading status
This is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.
People and systems
P. Erdős; Chao Ko; R. Rado
The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.