Refined Catalan and Narayana cyclic sieving

التفاصيل البيبلوغرافية
العنوان: Refined Catalan and Narayana cyclic sieving
المؤلفون: Alexandersson, Per, Linusson, Svante, Potka, Samu, Uhlin, Joakim
مصطلحات موضوعية: Dyck paths, cyclic sieving, Narayana numbers, major index, q-analog, Matematik, Mathematics
الوصف: We prove several new instances of the cyclic sieving phenomenon (CSP) on Catalan objects of type A and type B. Moreover, we refine many of the known instances of the CSP on Catalan objects. For example, we consider triangulations refined by the number of “ears”, non-crossing matchings with a fixed number of short edges, and non-crossing configurations with a fixed number of loops and edges.
وصف الملف: electronic
URL الوصول: https://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-285912
https://arxiv.org/abs/2010.11157
https://kth.diva-portal.org/smash/get/diva2:1500674/FULLTEXT01.pdf
قاعدة البيانات: SwePub