Minimum Eccentricity Shortest Paths in Some Structured Graph Classes

  • Feodor F. Dragan
  • Arne LeitertEmail author
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9224)


We investigate the Minimum Eccentricity Shortest Path problem in some structured graph classes. It asks for a given graph to find a shortest path with minimum eccentricity. Although it is NP-hard in general graphs, we demonstrate that a minimum eccentricity shortest path can be found in linear time for distance-hereditary graphs (generalizing the previous result for trees) and in \(\mathcal {O}(n^3m)\) time for chordal graphs.


Short Path Linear Time General Graph Chordal Graph Graph Class 
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This work was partially supported by the NIH grant R01 GM103309.


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© Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  1. 1.Department of Computer ScienceKent State UniversityKentUSA

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