Geometric graphs are a subset of graph theory that focuses on the study of graphs that are defined in a geometric space, such as in the plane or in higher dimensions. In geometric graphs, vertices may represent points in a space, and edges may represent connections between these points based on some geometric criteria, such as proximity or distance. Geometric graphs have applications in various fields, including computer science, robotics, wireless sensor networks, and geographic information systems. They are useful for modeling spatial relationships and solving problems related to spatial networks, routing, and connectivity. Researchers in the field of geometric graphs study various properties of these graphs, such as planarity, edge crossings, chromatic number, and geometric thickness. They also investigate algorithms for constructing geometric graphs, finding shortest paths, and determining network connectivity. Overall, geometric graphs offer a rich area of research that combines graph theory with geometry, providing insights into the structure and behavior of networks in physical and abstract spaces.