邻域平衡着色的 NP 完备性

arXiv - CS - Computational Complexity Pub Date : 2024-07-29 DOI:arxiv-2407.19793

Saeed Asaeedi

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引用次数: 0

摘要

图的邻域平衡着色（NBC）是一种红蓝着色，其中每个顶点都有相同数量的红色和蓝色邻域。这项工作证明，确定一个图是否允许 NBC 是 NP-完全的。我们提出了解决这一问题的遗传算法，并将其与精确算法和随机算法进行了比较。

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NP-Completeness of Neighborhood Balanced Colorings

A Neighborhood Balanced Coloring (NBC) of a graph is a red-blue coloring where each vertex has the same number of red and blue neighbors. This work proves that determining if a graph admits an NBC is NP-complete. We present a genetic algorithm to solve this problem, which we implemented and compared against exact and randomized algorithms.

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arXiv - CS - Computational Complexity

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