On Triangle Counting Parameterized by Twin-Width

February 14, 2022 Β· Declared Dead Β· πŸ› arXiv.org

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Authors Stefan Kratsch, Florian Nelles, Alexandre Simon arXiv ID 2202.06708 Category cs.DS: Data Structures & Algorithms Citations 8 Venue arXiv.org Last Checked 4 months ago
Abstract
In this report we present an algorithm solving Triangle Counting in time $O(d^2n+m)$, where n and m, respectively, denote the number of vertices and edges of a graph G and d denotes its twin-width, a recently introduced graph parameter. We assume that a compact representation of a d-contraction sequence of G is given.
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