Final Answer:
The pseudocode for Breadth-First Search (BFS) with L0, L1, L2 lists for each layer is represented as option b. BFS(G).
Thus correct option is b. BFS(G)
Step-by-step explanation:
BFS is a fundamental graph traversal algorithm used to visit all the nodes of a graph layer by layer. The pseudocode outlined in option b, BFS(G), efficiently explores the graph by maintaining lists L0, L1, L2, etc., representing nodes at each layer of the traversal.
At its core, BFS operates by visiting nodes in a level-by-level manner, starting from the initial node and traversing all its neighbors before moving to the next level. This process is continued until all reachable nodes are visited. The use of lists L0, L1, L2, etc., aids in keeping track of nodes at each level, ensuring a systematic exploration of the graph.
The algorithm typically utilizes a queue data structure to manage nodes' order of exploration. Starting with the initial node, BFS visits its neighbors, marking them as visited and enqueuing them for further exploration. This process continues level by level, populating the lists L0, L1, L2, etc., until all nodes are visited or the desired condition is met.
Maintaining separate lists for each layer allows for efficient tracking of node levels, aiding in various graph-related computations like finding the shortest path, checking connectivity, or analyzing the structure of the graph. The implementation of BFS with L0, L1, L2 lists ensures a structured and organized exploration of the graph, providing valuable insights into its characteristics and relationships among nodes.
The pseudocode for BFS with lists L0, L1, L2 for each layer is a practical approach for graph traversal. It optimizes the exploration process, aiding in various graph-related tasks and offering a systematic understanding of the graph structure. The utilization of lists for each layer enables efficient tracking and analysis of node relationships, contributing significantly to graph-based computations and analyses.
Thus correct option is b. BFS(G)