A Graph-Transformational Approach for Proving the Correctness of Reductions between NP-Problems

Hans-Jörg Kreowski; Sabine Kuske; Aaron Lye; Aljoscha Windhorst

doi:10.4204/eptcs.374.7

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arXiv · 2212.11627

A Graph-Transformational Approach for Proving the Correctness of Reductions between NP-Problems

Hans-Jörg Kreowski·Sabine Kuske·Aaron Lye·Aljoscha Windhorst

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Abstract

The complexity class NP of decision problems that can be solved nondeterministically in polynomial time is of great theoretical and practical importance where the notion of polynomial-time reductions between NP-problems is a key concept for the study of NP. As many typical NP-problems are naturally described as graph problems, they and their reductions are obvious candidates to be investigated by graph-transformational means. In this paper, we propose such a graph-transformational approach for proving the correctness of reductions between NP-problems.

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Hans-Jörg Kreowski, Sabine Kuske, Aaron Lye, Aljoscha Windhorst. 2022-12-22. A Graph-Transformational Approach for Proving the Correctness of Reductions between NP-Problems. https://doi.org/10.4204/eptcs.374.7

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