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A minimum-length covering subtree of a tree
Journal article   Peer reviewed

A minimum-length covering subtree of a tree

Tae Ung Kim, Timothy J. Lowe, James E. Ward and Richard L. Francis
Naval research logistics, Vol.37(2), pp.309-326
04/1990
DOI: 10.1002/1520-6750(199004)37:2<309::AID-NAV3220370209>3.0.CO;2-8

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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.

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