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- W4287728777 abstract "We present the first parallel fixed-parameter algorithm for subgraph isomorphism in planar graphs, bounded-genus graphs, and, more generally, all minor-closed graphs of locally bounded treewidth. Our randomized low depth algorithm has a near-linear work dependency on the size of the target graph. Existing low depth algorithms do not guarantee that the work remains asymptotically the same for any constant-sized pattern. By using a connection to certain separating cycles, our subgraph isomorphism algorithm can decide the vertex connectivity of a planar graph (with high probability) in asymptotically near-linear work and poly-logarithmic depth. Previously, no sub-quadratic work and poly-logarithmic depth bound was known in planar graphs (in particular for distinguishing between four-connected and five-connected planar graphs)." @default.
- W4287728777 created "2022-07-26" @default.
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- W4287728777 creator A5052014295 @default.
- W4287728777 date "2020-07-02" @default.
- W4287728777 modified "2023-09-27" @default.
- W4287728777 title "Parallel Planar Subgraph Isomorphism and Vertex Connectivity" @default.
- W4287728777 doi "https://doi.org/10.48550/arxiv.2007.01199" @default.
- W4287728777 hasPublicationYear "2020" @default.
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