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Parametric module allocation on partial k-trees

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2 Author(s)
Fernandez-Baca, D. ; Iowa State Univ., Ames, IA, USA ; Medepalli, A.

The problem of allocating modules to processors in a distributed system to minimize total costs when the underlying communication graph is a partial k-tree and all costs are linear functions of a real parameter t is considered. It is shown that if the number of processors is fixed, the sequence of optimum assignments that are obtained as t varies from zero to infinity can be constructed in polynomial time. As an auxiliary result, a linear time separator algorithm for k-trees is developed. The implications of the results for parametric versions of the weighted vertex cover, independent set, and 0-1 quadratic programming problems on partial k -trees are discussed

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Computers, IEEE Transactions on  (Volume:42 ,  Issue: 6 )