File:Feedback arc set NP-completeness.svg

Original file(SVG file, nominally 512 × 512 pixels, file size: 3 KB)

Captions

Captions

NP-completeness reduction from vertex cover to the feedback arc set problem

Summary edit

Description
English: NP-completeness reduction from an instance of vertex cover (yellow graph) to the feedback arc set problem (blue graph). This is the original reduction of Karp and Lawler published by Karp in 1972; it expands each yellow graph vertex into two adjacent blue graph vertices, and each undirected yellow graph edge into directed edges in opposite directions. The red edges show a minimum feedback arc set, corresponding to a minimum vertex cover consisting of the upper left and lower right yellow vertices.
Date
Source Own work
Author David Eppstein

Licensing edit

I, the copyright holder of this work, hereby publish it under the following license:
Creative Commons CC-Zero 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/TimeThumbnailDimensionsUserComment
current23:28, 2 August 2021Thumbnail for version as of 23:28, 2 August 2021512 × 512 (3 KB)David Eppstein (talk | contribs)Uploaded own work with UploadWizard

The following page uses this file:

File usage on other wikis

The following other wikis use this file:

Metadata