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Biconnectivity on Symbolically Represented Graphs: A Linear Solution

机译:象征性地表示的图形上的双关连词:线性解决方案

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We define an algorithm for determining, in a linear number of symbolic steps, the biconnected components of a graph implicitly represented with Ordered Binary Decision Diagrams (OBDDs). Working on symbolically represented data has potential: the standards achieved in graph sizes (playing a crucial role, for example, in verification, VLSI design, and CAD) are definitely higher. On the other hand, symbolic algorithm's design generates constraints as well. For example, Depth First Search is not feasible in the symbolic setting, and our algorithm relics on the use of spine-sets, introduced in [8] for strongly connected components, as its substitute. Our approach suggests a symbolic framework to tackle those problems which are naturally solved by a DFS-based algorithm in the standard case.
机译:我们定义用于在线性数量的符号步骤的线性数量中确定图形的算法,该图形的由有序二进制决策图(OBDD)隐式表示。象征性地代表的数据有潜力:在图表大小(例如,验证,VLSI设计和CAD中播放至关重要的角色)实现的标准绝对更高。另一方面,符号算法的设计也生成了约束。例如,深度首先搜索在符号设置中不可行,我们对使用脊柱组的算法遗言,在[8]中引入了强连接的组件,作为其替代。我们的方法表明了一种符号框架,用于解决这些问题,这些问题在标准情况下通过基于DFS的算法自然解决。

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