%0 Journal Article %T Boolean expression based on hypergraphs with algorithm %J Algebraic Structures and Their Applications %I Yazd University %Z 2382-9761 %A Hamidi, Mohammad %A Rahmati, Marzieh %A Rezaei, Akbar %D 2021 %\ 02/01/2021 %V 8 %N 1 %P 41-60 %! Boolean expression based on hypergraphs with algorithm %K Boolean function--based hypergraph %K Switching function %K switching kernel %K T.B.T %R 10.22034/as.2020.1835 %X This paper  introduces a novel concept of  Boolean function--based hypergraph  with respect to any given T.B.T(total binary truth table). This study defines a notation of  kernel set   on  switching functions and proves  that every  T.B.T corresponds to a  Minimum   Boolean expression via  kernel set  and presents  some conditions on  T.B.T to obtain  a Minimum irreducible   Boolean expression from switching functions. Finally, we present an algorithm and so Python programming(with complete and original codes) such that for any given T.B.T, introduces a Minimum irreducible   switching expression. %U https://as.yazd.ac.ir/article_1835_d021d23b138f47c633f5d0f40c1ae173.pdf