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Expanding Graph Theory: Product Operations and Properties in Directed Graph Contexts
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Journal Article
Expanding Graph Theory: Product Operations and Properties in Directed Graph Contexts
2024
Overview
A directed graph, consisting of vertices linked by directed edges or arcs, is a crucial structure utilized in analyzing various scenarios such as electrical circuits, optimal routes, and social connections. Graph theory introduces graph products, a binary operation applied to graphs. Similarly, directed graphs can undergo product operations analogous to those of standard graphs. Several authors have explored specific product operations in directed graphs, including the Cartesian, lexicographic, and strong products. In this study, we broaden the scope by extending definitions of product operations from standard graphs, such as categorical, modular, disjunctive, homomorphic, rooted, and corona products, to directed graphs. Furthermore, we delve into their properties.
Publisher
International Association of Engineers
Subject
