Archiu:Balinski.svg
Tamany d'esta previsualisació PNG de l'archiu SVG: 432 × 600 píxels. Atres/s resolucions: 173 × 240 píxels | 345 × 480 píxels | 553 × 768 píxels | 737 × 1024 píxels | 1475 × 2048 píxels.
Resolució completa. ((Image SVG, nominalment 800 × 1111 pixels, tamany d'archiu: 2 kB))
Summary
| Description |
English: Visual proof of Balinski's theorem: if fewer than d vertices (yellow) are removed from the graph of a d-dimensional polytope, then it is possible to find a nontrivial function whose zero set (the blue plane) includes another vertex (green). Then the simplex method can be used to find paths from the selected vertex to the two extreme points of the linear function, and from every other vertex to at least one extreme point, connecting all of the remaining vertices. Therefore, one must remove at least d vertices in order to disconnect the remaining graph. |
| 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 licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
This vector image includes elements that have been taken or adapted from this file:
Uniform polyhedron-53-t0.svg (by UniCollab).Historial de l'image
Puncha en la data/hora per a vore l'image tal i com es mostrava en eixe moment.
| Data/Hora | Miniatura | Dimensions | Usuari | Descripció | |
|---|---|---|---|---|---|
| actual | 00:11 10 set 2015 | | 800 × 1111 (2 kB) | wikimediacommons>David Eppstein | User created page with UploadWizard |
Enllaços a l'image
Les següents pàgines enllacen ad esta image:
