Optimal parametric search on graphs of bounded tree-width

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Abstract

We give linear-time algorithms for a class of parametric search problems on weighted graphs of bounded tree-width. We also discuss the implications of our results to approximate parametric search on planar graphs.

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Fernández-Baca, D., & Slutzki, G. (1994). Optimal parametric search on graphs of bounded tree-width. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 824 LNCS, pp. 155–166). Springer Verlag. https://doi.org/10.1007/3-540-58218-5_14

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