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Levels Tought:
Elementary,Middle School,High School,College,University,PHD
| Teaching Since: | May 2017 |
| Last Sign in: | 398 Weeks Ago, 4 Days Ago |
| Questions Answered: | 66690 |
| Tutorials Posted: | 66688 |
MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
Minimum path cover
A path cover of a directed graph G = (V, E) is a set P of vertex-disjoint paths such that every vertex in V is included in exactly one path in P. Paths may start and end anywhere, and they may be of any length, including 0. A minimum path cover of G is a path cover containing the fewest possible paths.
a. Give an efficient algorithm to find a minimum path cover of a directed acyclic graph G = (V, E). (Hint: Assuming that V = {1, 2, . . . ,n}, construct the graph G" = (V", E"), Where

b. and run a maximum-flow algorithm.)
c. Does your algorithm work for directed graphs that contain cycles? Explain
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