Abstract
Block sensitivity, which was introduced by Nisan [Noam Nisan, CREW PRAMs and decision trees, SIAM Journal on Computing 20 (6) (1991) 999–1007. Earlier version in STOC’89], is one of the most useful measures of Boolean functions. In this paper we investigate the block sensitivity of weakly symmetric functions (functions invariant under some transitive group action). We prove a Ω ( N 1 / 3 ) lower bound for the block sensitivity of weakly symmetric functions. We also construct a weakly symmetric function which has block sensitivity O ̃ ( N 3 / 7 ) .
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.
