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A minimum‐length covering subtree of a tree

Author

Listed:
  • Tae Ung Kim
  • Timothy J. Lowe
  • James E. Ward
  • Richard L. Francis

Abstract

We show that the problem of finding a minimum‐length covering subtree of a tree can be solved by appropriately modifying a known algorithm for finding a minimum cardinality point cover. Optimality of the unique covering subtree is established by the use of duality theory: a weak duality theorem and a strong duality theorem. The solution provided by the algorithm is shown to solve certain other optimization problems as well.

Suggested Citation

  • Tae Ung Kim & Timothy J. Lowe & James E. Ward & Richard L. Francis, 1990. "A minimum‐length covering subtree of a tree," Naval Research Logistics (NRL), John Wiley & Sons, vol. 37(2), pages 309-326, April.
    • Handle: RePEc:wly:navres:v:37:y:1990:i:2:p:309-326
    DOI: 10.1002/1520-6750(199004)37:23.0.CO;2-8
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    References listed on IDEAS

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    1. Francis, Richard L. & McGinnis, Leon F. & White, John A., 1983. "Locational analysis," European Journal of Operational Research, Elsevier, vol. 12(3), pages 220-252, March.
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    1. Juan A. Mesa, 2018. "Comments on: Extensive facility location problems on networks: an updated review," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 26(2), pages 227-228, July.

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