交叉最小化满足同时绘图

Markus Chimani, M. Jünger, Michael Schulz
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引用次数: 25

摘要

通过推广传统图的相交数问题,定义了同时图的相交数概念。讨论了与传统交叉数问题的区别,给出了新问题的np -完备性证明和下界和上界。此外,我们展示了传统问题的现有启发式和精确算法如何适用于同时交叉最小化的新任务,并报告了它们实现的简短实验研究。
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Crossing Minimization meets Simultaneous Drawing
We define the concept of crossing numbers for simultaneous graphs by extending the crossing number problem of traditional graphs. We discuss differences to the traditional crossing number problem, and give an NP-completeness proof and lower and upper bounds for the new problem. Furthermore, we show how existing heuristic and exact algorithms for the traditional problem can be adapted to the new task of simultaneous crossing minimization, and report on a brief experimental study of their implementations.
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