Aminu Alhaji Ibrahim

Polynomial Representation of Aunu Permutation Patterns (123-avoiding) Aminu Alhaji Ibrahim

The work discussed the procedures involved in the construction of a contagion model in which a function was defined to take input from Aunu permutation patterns in order to generate an integer sequences which were converted into binary codes for the construction of some triangular patterns using cellular automata and later these codes were used for the derivation of polynomials which were used to perform arithmetic operations such as addition, subtraction, multiplication and division. These polynomials were also used to form some mathematical structures such as groups, rings and fields. Binary codes have interesting applications in digital electronic circuits in which a Boolean variable is used to represent a point in a circuit; hence Boolean algebra can be used as a design tool for digital electronic circuit.