平面图顶点保护的一种新方法

B. Kaucic, B. Žalik
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引用次数: 7

摘要

顶点保护是图论中众多优化问题之一,有着广泛的应用。它被证明是np困难的,因此快速近似解是重要的。本文首先考虑了已知的算法,然后介绍了一种新的算法。该算法基于动态方法,求解速度更快、效果更好。实验证明了该算法在其他算法中的有效性。此外,本文还提出了进一步改进算法的思路。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A new approach for vertex guarding of planar graphs
Vertex guarding is one of many optimisation problems in graph theory with wide area of applications. It is proven to be NP-hard, therefore fast approximative solutions are significant. In the paper, at first, known algorithms are considered, and then a new algorithm working on planar graphs is introduced. The new algorithm is based on the dynamic approach and produces better and faster solutions. Its efficiency among other algorithms is demonstrated experimentally. In addition, ideas to additionally improve the algorithm are presented at the end.
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