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article · UMYU Scientifica

Aunu Polynomials: Excedance Number in Aunu Involutions

Abstract

An Involution is a Permutation which is equal to its own inverse. An involution is a permutation of a non-empty set which does not contain any permutation cycles of length greater than two (i.e., it consists exclusively of fixed points and transpositions). In this research, we obtain a generating function for the Aunu polynomials. The Aunu polynomials enumerate Aunu-permutation/Involutions according to their number of descents or their number of excedances. In this research, we generated Aunu polynomials of orders: , however, further investigation in the same pattern would lead to the generation of more polynomials of higher orders.

Research topics

  • Advanced Combinatorial Mathematics
  • Genome Rearrangement Algorithms
  • graph theory and CDMA systems

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DOI: 10.56919/usci.2652.010

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