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Finding induced trees

机译:寻找诱导树

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摘要

Let G = (V(G), E(G)) be a finite connected undirected graph and W V(G)a subsetof vertices. We are searching for a subset X V(G) such that W X and the subgraphinduced on X is a tree. N P-completeness results and polynomial time algorithms are givenassuming that the cardinality of W is fixed or not. Besides we give complexity results whenX has to induce a path or when G is a weighted graph. We also consider problems wherethe cardinality of X has to be minimized
机译:令G =(V(G),E(G))是有限连接的无向图,而W V(G)是顶点的子集。我们正在搜索子集X V(G),使得W X和在X上诱导的子图是一棵树。假设W的基数固定或不固定,则给出N个P-完备性结果和多项式时间算法。此外,当X必须归纳路径或G是加权图时,我们给出复杂度结果。我们还考虑了必须最小化X的基数的问题

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