An Algorithmic-Modeling Approach to the Classification of Network Structures Using Boolean Algebra
Keywords:
Boolean algebra, network classification, algorithmic modeling, lattice structures, digital logicAbstract
This paper presents a formal and algorithmic approach to the classification of network and seminetwork structures using Boolean algebra. While earlier research has explored logical properties of networks, this study introduces a previously unestablished classification model comprising five symbolic classes (Gk, Uk, Tk, Hk,Bk), each defined by distinct algebraic criteria. The algorithm developed in this paper represents a new contribution, enabling automated recognition and structural categorization of networks based on Boolean operations. In addition, a custom-built application in Python and MATLAB provides a concrete implementation of the model, offering visual insights and interactive classification of complex logical systems.These results establish a novel link between Boolean logic, graph structure interpretation, and algorithmic classification, opening new directions for research in digital logic, lattice modeling, and intelligent information systems
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