File:Intersecting set families 2-of-4.svg
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[edit]DescriptionIntersecting set families 2-of-4.svg |
English: Two ways of constructing a family of subsets of r items out of n, such that all subsets intersect each other and there are as many subsets as possible (matching the bound of the Erdős–Ko–Rado theorem): left, a family formed by fixing one item x and choosing the other r − 1 items in all possible ways; right (for n = 2r), a family formed by avoiding one item x and choosing r of the remaining items in all possible ways. In this example, n = 4 and r = 2; the largest possible intersecting families of subsets have three sets. |
Date | |
Source | Own work |
Author | David Eppstein |
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[edit]This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication. | |
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http://creativecommons.org/publicdomain/zero/1.0/deed.enCC0Creative Commons Zero, Public Domain Dedicationfalsefalse |
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current | 07:28, 29 November 2014 | 372 × 155 (3 KB) | David Eppstein (talk | contribs) | User created page with UploadWizard |
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