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Mostrando postagens de março, 2026

27.03.2026 | SCCs | Graph Algorithms

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Which of the following directed graphs represents a scenario where every single node is its own distinct Strongly Connected Component (SCC)? I.  II. III. IV. The alternative that contains the correct graph(s) is: a) Only graphs I and II. b) Only graphs I, III, and IV. c) Only graph II. d) Only graphs II and IV. e) None of the above. Original idea by: Yuri S. Costa

13.03.2026 | BFS

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Consider the following statements regarding a Breadth-First Search (BFS) traversal of the graph. Assume that whenever multiple neighbor nodes are available for expansion, they are selected in ascending numerical order : I. The BFS traversal path when starting from node 1 is: 2-4-6-3-7-9-10-5-8.  II. Nodes 5 and 8 are the furthest from node 1, just as node 1 is the furthest node when the search is initiated from either node 5 or 8. III. Adding an edge between nodes 9 and 8 alters the path when expanding from node 1, causing node 8 to be discovered before node 5. IV. Adding a new edge between nodes 2 and 7 makes no difference to the generated path when starting the expansion from node 1. The alternative that represents the correct statements is: a) Only statements I and II are correct. b) Only statements I, III, and IV are correct. c) Only statements II and IV are correct. d) Only statements IIII and IV are correct. e) None of the above. Original idea by: Yuri S. Costa

06.03.2026 | Graph Theory

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Observe the graph below and choose the correct alternative. Consider the following statements:   I. There are two bridges and two strongly connected components. II. Removing node A results in a graph with no strongly connected components. III. Creating the link HE results in a new strongly connected component. IV. Removing the link IA transforms the graph into a disconnected graph. The alternative that represents the correct statements is: a) Only statements I and II are correct. b) Only statements II and IV are correct. c) Only statements II, III, and IV are correct. d) Only statements I, III, and IV are correct. e) None of the above. Original idea by: Yuri S. Costa