The popularity of location-based services and the need to do real-time processing on them has led to an interest in performing queries on transportation networks, such as finding s...
We present an experimental evaluation of an approximate distance oracle recently suggested by Thorup [1] for undirected planar graphs. The oracle uses the existence of graph separa...
—The popularity of location-based services and the need to do real-time processing on them has led to an interest in performing queries on transportation networks, such as findin...
Abstract— Thorup and Zwick, in their seminal work, introduced the approximate distance oracle, which is a data structure that answers distance queries in a graph. For any integer...
Let G = (V, E) be an undirected weighted graph with |V | = n and |E| = m. Let k 1 be an integer. We show that G = (V, E) can be preprocessed in O(kmn1/k ) expected time, construc...