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An Efficient Algorithm for Finding a Maximum Weight k-Independent Set on Trapezoid Graphs

机译:在梯形图上找到最大权重k独立集的有效算法

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摘要

The maximum weight k-independent set problem has applications in many practical problems like k-machines job scheduling problems, k-colourable subgraph problem, VLSI design layout and routing problem. Based on DAG (Directed Acyclic Graph) approach, an O(kn~2) time sequential algorithm is designed in this paper to solve the maximum weight k-independent set problem on weighted trapezoid graphs. The weights considered here are all non-negative and associated with each of the n vertices of the graph.
机译:最大权重k独立集问题可应用于许多实际问题,例如k机作业调度问题,k有色子图问题,VLSI设计布局和布线问题。基于DAG(有向无环图)方法,设计了一种O(kn〜2)时间顺序算法,以解决加权梯形图上最大权重k无关集的问题。这里考虑的权重都是非负的,并且与图的n个顶点相关。

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