An Algorithmic-Modeling Approach to the Classification of Network Structures Using Boolean Algebra

This entry presents a formal and algorithmic model for classifying network and semi-network structures using Boolean algebra. The study defines and analyzes classes Gk, Uk, Tk, Hk, and Bk based on their algebraic and logical properties. Utilizing union and intersection interpreted through logical disjunction and conjunction, a systematic classification framework is developed. A MATLAB-based application supports the graphical and logical analysis of function intersections, Boolean expressions, and network behavior. The approach bridges symbolic logic with graphical representation, offering a robust model for digital logic, network theory, and mathematical education.