A **search tree** is a data structure that is used to represent different possible states or configurations of a problem, allowing for efficient searching and decision-making. It is particularly useful in algorithm design, artificial intelligence, and combinatorial problems. The structure can help in exploring paths or options systematically to find a solution or optimize a given objective. ### Characteristics of Search Trees: 1. **Nodes**: Each node in a search tree represents a potential state or configuration in the problem.
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A rooted tree whose nodes are partial search states and whose children are possible next choices. Leaves represent completed candidates or terminated branches. Backtracking traverses this tree while storing the current path, and search pruning removes branches that cannot yield a useful completion.