Abstract
A number of hypercube-variant networks attempt to improve the hypercube by adding extra connections and thus reducing the diameter of the constructed network. We briefly outline a model which describes these variant networks. Further, we show that by restricting this model, we can describe hypercube variants with exactly the same number of edges as the hypercube. We mention several such networks which all have diameter about n/2. We describe a new network within this class that has diameter about 2n/5, thus improving the best known previous bound by a constant factor. We show that within a limited construction paradigm our network is best possible.
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 callSimilar Papers
Disclaimer: 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.
