A note on k-shortest paths problem

  • Authors:
  • Nick Gravin;Ning Chen

  • Affiliations:
  • Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore;Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore

  • Venue:
  • Journal of Graph Theory
  • Year:
  • 2011

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Abstract

It is well-known that in a directed graph, if deleting any edge will not affect the shortest distance between two specific vertices s and t, then there are two edge-disjoint paths from s to t and both of them are shortest paths. In this article, we generalize this to shortest k edge-disjoint s-t paths for any positive integer k. © 2010 Wiley Periodicals, Inc. J Graph Theory 67: 34-37, 2011 © 2011 Wiley Periodicals, Inc.