Grigni: [21] Well-Connected Separators for Planar Graphs
نویسندگان
چکیده
Given an n-vertex weighted planar graph G, a separator is a subset S of vertices such that each component of G S has at most two-thirds of the original weight. We give an algorithm nding a separator while balancing these two parameters of G[S]: the number of components, and the cost of a minimum spanning forest. In particular, given uniform edge costs and a positive integer k pn, we nd a separator S such that jSj = O(n=k) and G[S] has O(k) components.
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