Inverse Spanning Tree Problems Formulations And Algorithms

Cover Inverse Spanning Tree Problems Formulations And Algorithms
Inverse Spanning Tree Problems Formulations And Algorithms
P T Sokkalingam
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The path graph, which we denote by G = (IST, A ) with N° = N^ u N^ satisfies N^ = (1, 2, ... , (n-1)), N^ = {n, n+1, ... , m), and A° = {(i, j) : i e Pj, n for each node j e N, (4c) where f- = c- - Cj for each arc (i, j) e A . The formulation (4) is a linear programming problem and has an associated dual. If we associate the dual variable x-- with the arc (i, j) in (4b), then the dual of (4) can be stated as follows: Minimized nf;;X:: (5a) (i, j)eA° •) 'J subject to ^|j.

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