Shape of shortest paths in random spatial networks
نویسندگان
چکیده
منابع مشابه
Shortest Paths in Networks
Finding the shortest path between two points in a network is a fundamental problem in computer science with many applications. By exploiting properties of the underlying networks we improve and extend one of the state-of-the-art algorithms for finding shortest paths in road networks, TRANSIT. We develop a new algorithm for finding shortest paths in public multi-modal transport networks, where w...
متن کاملUpgrading Shortest Paths in Networks
We introduce the Upgrading Shortest Paths Problem, a new combinatorial problem for improving network connectivity with a wide range of applications from multicast communication to wildlife habitat conservation. We define the problem in terms of a network with node delays and a set of node upgrade actions, each associated with a cost and an upgraded (reduced) node delay. The goal is to choose a ...
متن کاملShortest-Weight Paths in Random Regular Graphs
Consider a random regular graph with degree d and of size n. Assign to each edge an i.i.d. exponential random variable with mean one. In this paper we establish a precise asymptotic expression for the maximum number of edges on the shortest-weight paths between a fixed vertex and all the other vertices, as well as between any pair of vertices. Namely, for any fixed d ≥ 3, we show that the longe...
متن کامل31 Shortest Paths and Networks
We survey various forms of the problem, primarily in two and three dimensions, for motion of a single point, since most results have focused on these cases. We discuss shortest paths in a simple polygon (Section 31.1), shortest paths among obstacles (Section 31.2), and other metrics for length (Section 31.3). We also survey other related geometric network optimization problems (Section 31.4). H...
متن کاملShortest paths between shortest paths
We study the following problem on recon guring shortest paths in graphs: Given two shortest st paths, what is the minimum number of steps required to transform one into the other, where each intermediate path must also be a shortest s-t path and must di er from the previous one by only one vertex. We prove that the shortest recon guration sequence can be exponential in the size of the graph and...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review E
سال: 2019
ISSN: 2470-0045,2470-0053
DOI: 10.1103/physreve.100.032315