File:Intersecting set families 2-of-4.svg
Jump to navigation
Jump to search
Size of this PNG preview of this SVG file: 372 × 155 pixels. Other resolutions: 320 × 133 pixels | 640 × 267 pixels | 1,024 × 427 pixels | 1,280 × 533 pixels | 2,560 × 1,067 pixels.
Original file (SVG file, nominally 372 × 155 pixels, file size: 3 KB)
Summary
| Description |
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 |
Licensing
I, the copyright holder of this work, hereby publish it under the following license:
 
|
This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication. |
| The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.
|
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 07:28, 29 November 2014 | | 372 × 155 (3 KB) | wikimediacommons>David Eppstein | User created page with UploadWizard |
File usage
The following page uses this file:
