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arXiv · 2405.01180

Robust Algorithms for Finding Triangles and Computing the Girth in Unit Disk and Transmission Graphs

Katharina Klost·Wolfgang Mulzer
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Abstract

We describe optimal robust algorithms for finding a triangle and the unweighted girth in a unit disk graph, as well as finding a triangle in a transmission graph.In the robust setting, the input is not given as a set of sites in the plane, but rather as an abstract graph. The input may or may not be realizable as a unit disk graph or a transmission graph. If the graph is realizable, the algorithm is guaranteed to give the correct answer. If not, the algorithm will either give a correct answer or correctly state that the input is not of the required type.

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Katharina Klost, Wolfgang Mulzer. 2024-05-02. Robust Algorithms for Finding Triangles and Computing the Girth in Unit Disk and Transmission Graphs. https://arxiv.org/abs/2405.01180

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