Extended formulations for the cardinality constrained subtree of a tree problem

Extended formulations for the cardinality constrained subtree of a tree problem

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Article ID: iaor20102958
Volume: 37
Issue: 3
Start Page Number: 192
End Page Number: 196
Publication Date: May 2009
Journal: Operations Research Letters
Authors: , ,
Abstract:

Given a tree with n nodes, we consider the problem of finding the most profitable subtree of that tree with at most K nodes which is known as the Cardinality Subtree of a Tree Problem. We present a new exact linear extended formulation with 𝒪(nK) two-indexed variables and 𝒪(nK) constraints.

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