File:Feedback arc set NP-completeness.svg

Summary

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

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.

Category:CC-Zero#Feedback%20arc%20set%20NP-completeness.svg
Category:Self-published work Category:Graph theory Category:NP-complete problems
Category:CC-Zero Category:Graph theory Category:NP-complete problems Category:Self-published work