Algorithm 面试题与答案
问题 1. What is the purpose of Dijkstra's algorithm?
Dijkstra's algorithm is used to find the shortest paths from a source vertex to all other vertices in a weighted graph. It works for graphs with non-negative edge weights.
问题 2. Explain the concept of backtracking.
Backtracking is a general algorithm for finding all (or some) solutions to computational problems, particularly constraint satisfaction problems. It incrementally builds candidates for solutions and abandons a candidate as soon as it determines it cannot be completed to a valid solution.
问题 3. What is the purpose of the Bellman-Ford algorithm?
The Bellman-Ford algorithm is used to find the shortest paths from a source vertex to all other vertices in a weighted graph. It can handle graphs with negative weight edges, but it detects and reports negative weight cycles.
问题 4. Explain the concept of topological sorting.
Topological sorting is an ordering of the vertices of a directed acyclic graph (DAG) such that for every directed edge (u, v), vertex u comes before v in the ordering. It is used in scheduling and task sequencing.
问题 5. What is an AVL tree?
An AVL tree is a self-balancing binary search tree where the height of the two child subtrees of any node differs by at most one. It ensures that the tree remains balanced, resulting in efficient search, insertion, and deletion operations.
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