Abstract
Edge reductions model the ability of speeding up communication between processors in a network. In this paper we consider performing edge reductions in a tree network so that the diameter of the tree is minimized. The diameter is directly related to the time needed to broadcast a message. In particular, for non-blocking message communication ignoring start-up costs, the diameter corresponds to the broadcasting time. For an n-vertex tree T and a quantity B, we present an O(n) time algorithm to determine edge reductions such that the resulting tree has diameter at most B and the cost of the reduction is a minimum (over all reductions resulting in a diameter of at most B).
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.
