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A Weighted Version of the Jump Number Problem on Two-Dimensional Orders is NP-Complete

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Abstract

We prove the NP-completeness of a weighted version of the jump number problem on two-dimensional orders, by reducing the Maximum Independent Set on cubic planar graphs, using a geometrical construction.

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Ceroi, S. A Weighted Version of the Jump Number Problem on Two-Dimensional Orders is NP-Complete. Order 20, 1–11 (2003). https://doi.org/10.1023/A:1024417802690

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