Abstract
Many existing solutions focus on point-to-point shortest-path queries in road networks. In contrast, only few contributions address the related single-source shortest-path problem, i.e., finding shortest-path distances from a single source s to all other graph vertices. This work extends graph separator methods to handle this specific problem and its one-to-many variant, i.e., calculating the shortest path distances from a single source to a set of targets T ⊆ V. This novel family of so-called GRASP algorithms provides exceptional preprocessing times, making them suitable for dynamic travel time scenarios. GRASP algorithms also efficiently solve range / isochrone queries not handled by previous approaches.
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Efentakis, A., Pfoser, D. (2014). GRASP. Extending Graph Separators for the Single-Source Shortest-Path Problem. In: Schulz, A.S., Wagner, D. (eds) Algorithms - ESA 2014. ESA 2014. Lecture Notes in Computer Science, vol 8737. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-44777-2_30
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DOI: https://doi.org/10.1007/978-3-662-44777-2_30
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