Random assignment and shortest path problems

We explore a similarity between the $n$ by $n$ random assignment problem and the random shortest path problem on the complete graph on $n+1$ vertices. This similarity is a consequence of the proof of the Parisi formula for the assignment problem given by C. Nair, B. Prabhakar and M. Sharma in 2003....

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Bibliographic Details
Main Author: Johan Wästlund
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2006-01-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/3504/pdf