Description: A dynamic graph is a mathematical structure that represents a set of objects (vertices) and the relationships between them (edges) that can change over time. Unlike static graphs, where vertices and edges are fixed, a dynamic graph allows for the addition and removal of these elements, reflecting real-world situations where relationships are fluid. This flexibility enables the modeling of complex systems such as social networks and transportation systems, where connections can evolve. Dynamic graphs are fundamental in graph theory as they provide a framework for studying how the properties of a graph can evolve over time. The main characteristics of a dynamic graph include the ability to perform real-time update operations and the need for efficient algorithms to manage these changes. Its relevance lies in its application in various fields such as computer science, biology, sociology, and engineering, where the dynamics of relationships are crucial for understanding the behavior of complex systems.
