Abstract:We present a novel space-efficient graph coarsening technique for n-vertex separable graphs G, in particular for planar graphs, called cloud partition, which partitions the vertices V (G) into disjoint sets C of size O(log n) such that each C induces a connected subgraph of G. Using this partition P we construct a so-called structure-maintaining minor F of G via specific contractions within the disjoint sets such that F has O(n/ log n) vertices. The combination of (F, P) is referred to as a cloud decomposition… Show more
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