Consider the directed network G = (V,E) with N = 5 nodes and L = 8 links, in which node 1 points to nodes 2 and 3, node 2 points to node 4, node 3 points to nodes 2 and 4, node 4 points to node 2, and node 5 points to nodes 3 and 4. How many weakly-connected components and how many non-trivial (i.e. with more than one node) strongly-connected components are there in the network? List all the nodes belonging to each one of these components. List all the nodes belonging, respectively, to the in-component and the out-component of each of the non-trivial strongly-connected components.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Consider the directed network G = (V,E) with N = 5 nodes and L = 8 links, in which
node 1 points to nodes 2 and 3, node 2 points to node 4, node 3 points to nodes 2 and
4, node 4 points to node 2, and node 5 points to nodes 3 and 4.
Transcribed Image Text:Consider the directed network G = (V,E) with N = 5 nodes and L = 8 links, in which node 1 points to nodes 2 and 3, node 2 points to node 4, node 3 points to nodes 2 and 4, node 4 points to node 2, and node 5 points to nodes 3 and 4.
How many weakly-connected components and how many non-trivial (i.e. with
more than one node) strongly-connected components are there in the network?
List all the nodes belonging to each one of these components. List all the nodes
belonging, respectively, to the in-component and the out-component of each of the
non-trivial strongly-connected components.
Transcribed Image Text:How many weakly-connected components and how many non-trivial (i.e. with more than one node) strongly-connected components are there in the network? List all the nodes belonging to each one of these components. List all the nodes belonging, respectively, to the in-component and the out-component of each of the non-trivial strongly-connected components.
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