Years and Authors of Summarized Original Work 1999; Thorup Problem Definition The single-source shortest path problem (SSSP) is, given a graph G = ( V , E , l ) and a source vertex s ∈ V , to find the shortest path from s to every v ∈ V . The ...
1. Dijkstra's Algorithm Dijkstra's Algorithm is widely used to determine the single-source shortest path in a weighted graph whose weights are all non-negative. Here is my solution to a problem fromSJTU ACM Online Judge, in which I used this algorithm to determine the shortest path between ...
2019-11-24 20:25 −一、算法介绍 迪杰斯特拉算法(英语:Dijkstra's algorithm)由荷兰计算机科学家艾兹赫尔·迪杰斯特拉在1956年提出。迪杰斯特拉算法使用了广度优先搜索解决赋权有向图的单源最短路径问题。这个算法是通过为每个顶点 v 保留当前为止所找到的从s到v的最短路... ...
Title:A Randomized Algorithm for Single-Source Shortest Path on Undirected Real-Weighted Graphs Abstract:In undirected graphs with real non-negative weights, we give a new randomized algorithm for the single-source shortest path (...
Efficient solution of the single source shortest path (SSSP) problem on road networks is an important requirement for numerous real-world applications. This paper introduces an algorithm for the SSSP problem using compression method. Owning to precomputing and storing all-pairs shortest path (APSP),...
In this paper, we propose an efficient method for implementing Dijkstra's algorithm for the Single Source Shortest Path Problem (SSSPP) in a graph whose edges have positive length, and where there are few distinct edge lengths. The SSSPP is one of the most widely studied problems in theoreti...
All - pairs shortest - paths problem:Find the shortest path from u to v for every pair of vertices u and v. Running a single - source algorithm once from each vertex can clarify this problem; but it can generally be solved faster, and its structure is of interest in the own right. ...
In the single-source shortest path (SSSP) problem, we have to find the shortest paths from a source vertex v to all other vertices in a graph. In this paper, we introduce a novel parallel algorithm, derived from the Bellman-Ford and Delta-stepping algorithms. We employ various pruning tech...
Our experiments have established abstract results with the intention that the proposed algorithm can consistently dominate other existing algorithms for Single Source Shortest Path Problems. A comparison study is also shown among Dijkstra's algorithm, Bellman-Ford algorithm, and our algorithm....
SPFA 算法(Shortest Path Faster Algorithm) 一、算法背景 求单源最短路的SPFA算法的全称是:Shortest Path Faster Algorithm。 SPFA算法是西南交通大学段凡丁于1994年发表的。 有人称spfa算法是最短路的万能算法。 二、适用范围: 给定的图存在负权边,这时类似Dijkstra等算法便没有了用武之地,而Bellman-Ford算法的复...