BOOLEAN EXPRESSION BASED ON HYPERGRAPHS WITH ALGORITHM

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HAMIDI MOHAMMAD; Rahmati Marzieh; REZAEI AKBAR

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Journal Paper

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Journal: Algebraic structures and their applications Year:2021 | Volume:8 | Issue:1 Page(s): 41-60

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Information Journal Paper

Title

BOOLEAN EXPRESSION BASED ON HYPERGRAPHS WITH ALGORITHM

Author(s)

HAMIDI MOHAMMAD | Rahmati Marzieh | REZAEI AKBAR | Issue Writer Certificate

Keywords

Switching function

Boolean function{based hypergraph

switching kernel

T.B.T

Abstract

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 de, nes 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.

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APA: Copy

HAMIDI, MOHAMMAD, Rahmati, Marzieh, & REZAEI, AKBAR. (2021). BOOLEAN EXPRESSION BASED ON HYPERGRAPHS WITH ALGORITHM. ALGEBRAIC STRUCTURES AND THEIR APPLICATIONS, 8(1), 41-60. SID. https://sid.ir/paper/1059381/en

Vancouver: Copy

HAMIDI MOHAMMAD, Rahmati Marzieh, REZAEI AKBAR. BOOLEAN EXPRESSION BASED ON HYPERGRAPHS WITH ALGORITHM. ALGEBRAIC STRUCTURES AND THEIR APPLICATIONS[Internet]. 2021;8(1):41-60. Available from: https://sid.ir/paper/1059381/en

IEEE: Copy

MOHAMMAD HAMIDI, Marzieh Rahmati, and AKBAR REZAEI, “BOOLEAN EXPRESSION BASED ON HYPERGRAPHS WITH ALGORITHM,” ALGEBRAIC STRUCTURES AND THEIR APPLICATIONS, vol. 8, no. 1, pp. 41–60, 2021, [Online]. Available: https://sid.ir/paper/1059381/en

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