We're glad you stopped by First calculate the CPL characteristic path length and the diameter for the following network How large is the difference between the diameter and CPL Round. This page is here to walk you through essential details with clear and straightforward explanations. Our goal is to make your learning experience easy, enriching, and enjoyable. Start exploring and find the information you need!
Answer :
The difference between the diameter and the characteristic path length (cpl) of a network indicates the level of dispersion or clustering within the network structure.
Characteristic path length (cpl) is the average shortest path length between all pairs of nodes in a network, while the diameter represents the maximum shortest path length between any two nodes.
To calculate cpl:
\[ \text{cpl} = \frac{1}{N(N-1)} \sum_{i \neq j} d(i,j) \]
Where [tex]\(N\)[/tex] is the number of nodes, and [tex]\(d(i,j)\)[/tex]is the shortest path length between node[tex]\(i\)[/tex]and node[tex]\(j\)[/tex].
To calculate the diameter, find the maximum shortest path length among all pairs of nodes.
Once both values are determined, the difference between the diameter and cpl showcases the network's clustering tendency. A larger difference indicates more clustering, while a smaller difference signifies more dispersion.
Complete Question: "First, calculate the cpl and the diameter for the following network. How large is the difference between the diameter and cpl? Round to 2 decimal places."
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