The edges can be directional or non-directional. These objects are referred to as vertices or nodes and the connection between them is referred to as edges or lines. Graph Theory ConceptsĪ graph is a mathematical abstraction used to represent a set of objects in which some object pairs are linked together to show a relationship. This article discusses some of the graph theories and graph search algorithms, including Depth First Search (DFS), Breadth-First Search (BFS), Dijkstra’s and A* Algorithms and discusses which of these are best suited for agent navigation. There are many different search algorithms available. Since the navigable areas are represented using graph nodes and edges, the graph search algorithms are applicable and very useful in this case. Path-finding is crucial for navigating efficiently in a virtual environment. The graph search algorithms can then be used to find the shortest path between the nodes. This information can be represented as a navigation graph by considering graph nodes as specific locations on the map and the graph edges as the routes between them. Path-finding requires agents to have knowledge of the environment, which includes the coordinates of accessible points on the map and possible routes between those points. Path-finding algorithms provide agents with the ability to find the shortest path between any two points in the environment.
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