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重复复杂度和算法对图形横行编辑距离及其变体的复杂性和算法
Yutong Qiu1, Yihang Shen1, Carl Kingsford2
1Ray and Stephanie Lane Computational Biology Department, Carnegie Mellon University, 5000 Forbes Avenue, Pittsburgh, 15213, PA, USA.
Algorithms for molecular biology : AMB
|April 28, 2024
概括
图形横行编辑距离 (GTED) 不能在多项式时间中解决. 提供了新的整数线性编程 (ILP) 配方,为比较基因组图提供算法基础.
科学领域:
- 计算生物学是一种计算生物学.
- 图形理论是指图形的理论.
- 生物信息学是一种生物信息学.
背景情况:
- 图形横行编辑距离 (GTED) 提供了一种方法,通过比较德布赖恩图形来推断进化关系.
- 之前的工作声称GTED是多项式可用整数线性编程 (ILP) 公式解决的.
研究的目的:
- 解决关于GTED的相互矛盾的复杂性结果.
- 为GTED提供准确的ILP配方,并评估其效率.
主要方法:
- 证明GTED是NP完全的.
- 证明以前的ILP配方解决了下限,而不是GTED本身.
- 为GTED开发和评估新的,正确的ILP配方.
主要成果:
- 证明GTED是NP完整的,这与之前的说法相矛盾.
- 现有的ILP配方不能最佳地解决GTED,也不能在多项式时间中解决.
- 介绍了GTED的新ILP配方,并评估了它们的经验效率.
结论:
- GTED是一个NP完整的问题,需要在大规模应用程序的启发式方法.
- 提供的ILP配方为基因组图比较提供了正确的算法基础.
- 这项工作为以图为基础的遗传学分析的未来研究奠定了基础.
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