Abstract
We give a lattice path interpretation for totally symmetric self-complementary plane partitions. This is a first step in solving the long standing problem of enumerating such plane partitions. Another outstanding problem in enumerative combinatories is the search for a bijection between alternating sign matrices and totally symmetric self-complementary plane partitions. From the lattice path interpretation, we discover a new statistic on totally symmetric self-complementary plane partitions which should correspond to the position of the 1 in the top row of an alternating sign matrix under such a bijection.
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.
