depth-first search <algorithm> A graph search {algorithm} which extends the current path as far as possible before {backtracking} to the last {choice point} and trying the next alternative path. Depth-first search may fail to find a solution if it enters a cycle in the graph. This can be avoided if we never extend a path to a node which it already contains. Opposite of {breadth first search}. See also {iterative deepening}. (1995-04-19)