Fast Algorithms for Maintaining Shortest Paths in Outerplanar and Planar Digraphs

Abstract. We present algorithms for maintaining shortest path information in dynamic outerplanar digraphs with sublogarithmic query time. By choosing appropriate parameters we achieve continuous trade-offs between the preprocessing, query, and update times. Our data structure is based on a recursive separator decomposition of the graph and it encodes the shortest paths between the members of a properly chosen subset of vertices. We apply this result to construct improved shortest path algorithms for dynamic planar digraphs.

• Type: Conference
• Year: 1995
• Where: FCT
• Authors: Hristo Djidjev, Grammati E. Pantziou, Christos D. Zaroliagis
• Keywords: Applied Computing, Dynamic Outerplanar Digraphs, FCT 1995, Shortest Path, Shortest Path Information