Abstract

This paper considers three sets counted by the odd double factorials that are derived by permutation from sets counted by the Catalan numbers: sequences of paired events, complete binary trees (dendrograms), and arc diagrams. The distributions of certain parameters in both kinds of sets are compared and it is found that those with the same distributions in the Catalan sets do not always have the same distributions in the permuted sets. After reviewing bijections between the Catalan sets, the problems associated with transferring bijections to the permuted sets are discussed.

Full Text
Paper version not known

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 call

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.