4. Directed Graph Here we have the network of web Pages as Figure 3. Answer the...
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4. Directed Graph Here we have the network of web Pages as Figure 3. Answer the following questions. 3 10 9 7 16 15 11 13 12 14 17 18 Figure 3: Directed Graph 1. Does the network has the bowtie structure? Try to figure out the 5 components (if exists). 2. Similar as the way to define the degree distribution for undirected graph, we can also define a distribution for the in-degrees in the directed graph. Please find the in-degree distribution for this network. 3. Is this network strongly connected? Is it weakly connected? 4. Find a path from 11 to 4. Can you find a path from 4 to 11? 5. Draw the underlying undirected graph. Answer the following questions with the undirected graph. (a) Figure out the (maximal) 1-core, 2-core, and 3-core. What is the coreness for nodes 4 and 9? (b) What is the local density for nodes 9 and 16? (c) What is the transitivity (clustering coefficient) for nodes 9 and 16? 4. Directed Graph Here we have the network of web Pages as Figure 3. Answer the following questions. 3 10 9 7 16 15 11 13 12 14 17 18 Figure 3: Directed Graph 1. Does the network has the bowtie structure? Try to figure out the 5 components (if exists). 2. Similar as the way to define the degree distribution for undirected graph, we can also define a distribution for the in-degrees in the directed graph. Please find the in-degree distribution for this network. 3. Is this network strongly connected? Is it weakly connected? 4. Find a path from 11 to 4. Can you find a path from 4 to 11? 5. Draw the underlying undirected graph. Answer the following questions with the undirected graph. (a) Figure out the (maximal) 1-core, 2-core, and 3-core. What is the coreness for nodes 4 and 9? (b) What is the local density for nodes 9 and 16? (c) What is the transitivity (clustering coefficient) for nodes 9 and 16?
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Managing Operations Across the Supply Chain
ISBN: 978-0078024030
2nd edition
Authors: Morgan Swink, Steven Melnyk, Bixby Cooper, Janet Hartley
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