• Certain variants of multipermutohedron ideals

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/126/04/0479-0500

    • Keywords

       

      Betti numbers; multipermutohedron; Alexander dual; parking functions

    • Abstract

       

      Multipermutohedron ideals have rich combinatorial properties. An explicit combinatorial formula for the multigraded Betti numbers of a multipermutohedron ideal and their Alexander duals are known. Also, the dimension of the Artinian quotient of an Alexander dual of a multipermutohedron ideal is the number of generalized parking functions. In this paper, monomial ideals which are certain variants of multipermutohedron ideals are studied. Multigraded Betti numbers of these variant monomial ideals and their Alexander duals are obtained. Further, many interesting combinatorial properties of multipermutohedron ideals are extended to these variant monomial ideals.

    • Author Affiliations

       

      AJAY KUMAR1 2 CHANCHAL KUMAR1

      1. Indian Institute of Science Education and Research, Mohali, Knowledge City, Sector 81, SAS Nagar, Punjab 140 306, India
      2. DAV University, Jalandhar, Punjab 144 012, India
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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