Abstract
This article introduces a new variant of hypercubes Hn. The n-dimensional twisted hypercube Hn is obtained from two copies of the (n−1)-dimensional twisted hypercube Hn−1 by adding a perfect matching between the vertices of these two copies of Hn−1. We prove that the n-dimensional twisted hypercube Hn has diameter (1+o(1))n/log2n. This improves on the previous known variants of hypercube of dimension n and is optimal up to an error of order o(n/log2n). Another type of hypercube variant Zn,k that has similar structure and properties as Hn is also discussed in the last section.
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.
