Solution: Number of Nodes in a Given Graph Level
Understand how to implement a graph algorithm that counts nodes at a given level by modifying a visited array during breadth-first traversal. Learn how node levels are assigned, analyze the algorithm's time complexity, and apply this method to efficiently solve graph-related coding challenges.
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Solution
Explanation
The solution above modifies the visited array to store the level of each node. Later, it counts the nodes with the same level (lines 34-38).
In this code, while visiting each node, the level of the visited node is set with an increment in the level of its parent node, i.e.,
visited[child] = visited[parent] + 1
This is how the level of each node is determined (line 26).
Time complexity
Its time complexity is the same as the breadth-first traversal algorithm. We haven’t added any new loops. We just added a simple array to do our job.
The time complexity of BFS can be computed as the total number of iterations performed by the loop.
Let ...