Graphs model relationships between entities with vertices and edges from "summary" of Data Structures and Algorithms in Python by Michael T. Goodrich,Roberto Tamassia,Michael H. Goldwasser
Graphs are a fundamental data structure used to model relationships between entities. In a graph, entities are represented by vertices, while relationships between entities are represented by edges. This allows us to easily visualize and analyze the connections between different entities in a system. Vertices are the building blocks of a graph and can represent any type of entity, such as people, places, or objects. These entities are connected to each other through edges, which indicate the relationships between them. Edges can be directed or undirected, depending on whether the relationship between entities is one-way or two-way. By using graphs, we can represent complex relationships in a simple and intuitive way. For example, a social network can be represented as a graph, with each person as a vertex and friendships as edges. This allows us to easily analyze the structure of the social network, such as identifying central individuals or communities within the network. Graphs are used in a wide range of applications, including social networks, transportation systems, computer networks, and more. By understanding how to model relationships between entities using graphs, we can develop more efficient algorithms for solving complex problems. This makes graphs a powerful tool for data analysis and algorithm design in various fields.
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