Graph Theory and its Applications in Image Processing : An Overview
Keywords:
Vertices, Edges, Graph Theory, Adjacency Matrices, Graph Traversal AlgorithmsAbstract
In a graphical setting, the nodes are referred to as vertices and the connections as edges. Graph theory is a robust area of mathematics that seeks to facilitate the study of relationships between various things. Today, it suffices to say that many fields of sciences and technologies are based on the graph theory which, by the way, was introduced in 1736 by Leonhard Euler in the light of his the famous problem of the Seven Bridges of Königsberg. This strong theory enables modeling and solving of very complex problems, like those related to networked systems. The primary components of the graphs: vertices, edges, adjacency matrices, and graph traversal algorithms allow the representation of data structures, geographical data, and multi-level hierarchical structures. Graph theory is used extensively in other disciplines such as optimization, bioinformatics, computer science, logistics, and AI.
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