Abstract
The computational complexity and the approximation algorithms of the optimal p-source communication spanning tree ( p-OCT) problem were investigated. Let G be an undirected graph with nonnegative edge lengths. Given p vertices as sources and all vertices as destinations, and also given arbitrary requirements between sources and destinations, we investigated the problem how to construct a spanning tree of G such that the total communication cost from sources to destinations is minimum, where the communication cost from a source to a destination is the path length multiplied by their requirement. For any fixed integer p⩾2, we showed that the problem is NP-hard even for metric graphs. For metric graphs of n vertices, we show a 2-approximation algorithm with time complexity O( n p−1 ). For general graphs, we present a 3-approximation algorithm for the case of two sources.
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.
