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Inverse eccentric vertex problem on networks

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  • Kien Nguyen

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  • André Chassein

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Abstract

This paper addresses the problem of optimally modifying the edge lengths such that a prespecified vertex becomes the furthest vertex from a given fixed vertex in the perturbed network. We call this problem the inverse eccentric vertex problem. We show that the problem is $$NP$$ N P -complete even on cactus graphs. However, if the underlying graph is a cycle or a tree, we develop efficient algorithms with linear time complexity. Copyright Springer-Verlag Berlin Heidelberg 2015

Suggested Citation

  • Kien Nguyen & André Chassein, 2015. "Inverse eccentric vertex problem on networks," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 23(3), pages 687-698, September.
  • Handle: RePEc:spr:cejnor:v:23:y:2015:i:3:p:687-698
    DOI: 10.1007/s10100-014-0367-2
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    1. repec:spr:joptap:v:168:y:2016:i:3:d:10.1007_s10957-015-0829-2 is not listed on IDEAS

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