Búsqueda en profundidad (DFS) es un algoritmo fundamental algorithm used in ciencias de la computación for traversing or searching tree or graph modelos de datos. The algorithm starts at the root node (or an arbitrary node in the case of a graph) and explores as far as possible along each branch before backtracking. This approach results in a depthward exploration of the structure.
La DFS puede implementarse usando una estructura de datos de pila, ya sea explícitamente con una pila o implícitamente mediante recursión. Los pasos involucrados en el algoritmo incluyen:
- Comenzar desde el raíz (o un nodo arbitrario).
- Marcar el nodo como visitado.
- Explorar cada nodo adyacente no visitado, profundizando en la estructura.
- Si un nodo no tiene nodos adyacentes no visitados, retroceder al último nodo visitado con vecinos no visitados.
DFS is particularly useful for problems where a solution might be found deep within the structure, such as solving mazes, puzzle-solving, or conducting searches in inteligencia artificial applications. It can also be leveraged to find connected components in graphs or to perform topological sorting.
However, DFS has its limitations, such as the potential for deep recursion leading to stack overflow and the inability to find the shortest path in unweighted graphs. Due to its nature, it may explore paths that do not lead to a solution, making it less efficient in some scenarios compared to other algorithms como la Búsqueda en Anchura (BFS).