A graph algorithm is a method used to solve problems related to graphs, which are mathematical structures made up of nodes (or vertices) connected by edges. These algorithms help in finding the shortest path, detecting cycles, or determining connectivity within a graph. Common examples include Dijkstra's algorithm for shortest paths and Kruskal's algorithm for minimum spanning trees. Graph algorithms are widely used in various fields, including computer science, transportation, and social network analysis. They enable efficient data processing and decision-making by modeling relationships and interactions. Understanding these algorithms is essential for tasks like route optimization and network design.