Abstract
The best known algorithm for the one-to-all shortest path problem is Dijkstra's algorithm, which can achieve time complexity O(|E| + |V|log(|V|)) by the implementation of data structures like buckets. While for one-to-some shortest path problem, no matter how small the "some" is, the time complexity of Dijkstra's algorithm remains O(|E| + |V|log(|V|)) and it often still needs to explore a large part of the graph and thus is not efficient. This paper proposes a novel algorithm which computes the shortest paths bidirectionally with A*algorithm multiple times to solve the one-to-some shortest path problem on road maps efficiently, where the size of the destination set is much smaller than the total number of vertices in the graph. The experiments on both randomly generated graphs and real road maps show that our algorithm is more space and time efficient than Dijkstra's algorithm with buckets, one of the most efficient algorithm for one-to-some shortest path problem.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
