On the Complexity of Combinatorial Optimization on Fixed Structures

Nimrod Megiddo

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arXiv · 2411.16963

On the Complexity of Combinatorial Optimization on Fixed Structures

Nimrod Megiddo

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Abstract

Combinatorial optimization can be described as the problem of finding a feasible subset that maximizes a objective function. The paper discusses combinatorial optimization problems, where for each dimension the set of feasible subsets is fixed. It is demonstrated that in some cases fixing the structure makes the problem easier, whereas in general the problem remains NP-complete.

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Nimrod Megiddo. 2024-11-25. On the Complexity of Combinatorial Optimization on Fixed Structures. https://arxiv.org/abs/2411.16963

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