' Find SCC for the attached graph. Also draw scc graph for it '

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Anu Bhardwaj · Accepted Answer

To find the Strongly Connected Components (SCC) of the given graph and then draw the SCC graph, we can use an algorithm like Tarjan's or Kosaraju's. The graph you've provided has 9 nodes with various directed edges between them. Let's analyze the graph visually first to identify the SCCs: Identifying SCCs: Node 1 : It does not have any incoming edges and can only reach node 2. Thus, it's isolated in terms of SCCs and forms an SCC by itself. Node 2 to Node 4 : All these nodes are interconnected. Specifically, node 2 can reach nodes 3 and 4, node 3 can reach node 4, and node 4 can reach back to node 2. Hence, nodes 2, 3, and 4 form a single SCC. Node 5 : Node 5 has an incoming edge from node 4 and can reach node 6, which in turn reaches back to node 5. Therefore, nodes 5 and 6 form an SCC. Node 7 : Node 7 can reach node 8, and node 8 can reach node 9, which loops back to node 7. Therefore, nodes 7, 8, and 9 form an SCC. SCCs Identified: SCC1: {1} SCC2: {2, 3, 4} SCC3: {5, 6} SCC4: {7, 8, 9} Drawing the SCC Graph: The SCC graph is a Directed Acyclic Graph (DAG) where each node represents an SCC from the original graph, and edges represent the connections between these components based on the original edges. SCC1 connects to SCC2 (because of the original edge from 1 to 2). SCC2 connects to SCC3 (through the edge from 4 to 5). SCC2 also connects to SCC4 (through the edge from 3 to 7). There are no more connections since there are no outgoing edges from SCC3 and SCC4 that would lead to other SCCs. This makes the SCC graph have a structure of a simple DAG with connections from SCC1 to SCC2, and then branching out to SCC3 and SCC4. the SCC (Strongly Connected Component) graph based on the structure and relationships identified in your original graph. In this diagram, each node represents a group of strongly connected nodes (SCC1, SCC2, SCC3, and SCC4), and the arrows indicate the directional relationships between these groups. You can view and analyze this graph to understand the connectivity between the different SCCs.

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Anu Bhardwaj

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