A way of searching a graph or tree that visits vertices in order of distance from the start: first those one edge away, then those two edges away, and so on. It is implemented with a queue, and in a graph without edge weights it finds the smallest number of edges from the start to every vertex. It is abbreviated BFS.
Japanese name: 幅優先探索
Breadth-first search appears in 4 practice questions across 1 topic, including Data Structures and Algorithms.
Answer: A. A, B, C
A queue is a first-in, first-out (FIFO) structure: items are removed in the order they were added. After A, B and C are added, the first removal takes A. Even though D and E are added at the back afterward, B and C at the front come out first, so the removal order is A, B, C, and D and E remain. C, D, E is the order you would get from a stack (LIFO), which removes the most recently added item each time. Queues are used for print jobs, for message queues that pass data between tasks, and for breadth-first search.
Answer: B. Adjacency lists: memory is proportional to the number of vertices plus the number of edges, and they suit following the edges out of a vertex one by one
An adjacency matrix uses a V × V table for V vertices, so 1 million vertices need 10¹² entries, about 125 GB even at 1 bit per entry. Adjacency lists store only the neighbors of each vertex, so memory is O(V + E), only a few million entries in this example. An adjacency matrix has the advantage of checking for an edge in O(1) and suits dense graphs or graphs with few vertices. For processing that follows the edges out of each vertex in turn, such as breadth-first search and Dijkstra's algorithm, adjacency lists are more efficient.
Queues are used for print jobs, for message queues that pass data between tasks, and for breadth-first search.
Elements A, B and C are added to an empty queue in this ord…For processing that follows the edges out of each vertex in turn, such as breadth-first search and Dijkstra's algorithm, adjacency lists are more efficient.
Which is an appropriate way to store in memory a sparse gra…Breadth-first search visits vertices in order of distance: first those one edge from the start, then those two edges away, and so on.
In a graph whose edges have no weights, you want to find th…A, B, C, D, E, F is the breadth-first search order, which visits vertices nearest-first.
In an undirected graph, the neighbors of each vertex are A:…As an Amazon Associate I earn from qualifying purchases.
Queue Stack Depth-first search Dijkstra's algorithm Recursion Binary heap Binary search Binary search tree Dynamic programming Greedy algorithm