We have a star network. It consists of one central node and 9 peripheral nodes. That is, a hub that is connected to 9 nodes. What is the density of this network?

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Question:

We have a star network. It consists of one central node and 9 peripheral nodes. That is, a hub that is connected to 9 nodes. What is the density of this network?

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From the star network that consists of one central node, 9 peripheral nodes. The density of this network is 25%.A node may be anything from a person to a device to some hyperlinked text information. Bridges between nodes are formally referred to as connections.A network density is a measure of the proportion of dyadic connections or direct ties inside a social network. It depicts the part of the potential connections within a network that are actual connections. The network density can be estimated by using the formula:[tex]\mathbf{Network \ density = \dfrac{Actual \ connection}{Potential \ connection}}[/tex]The potential connection in a network system can be calculated by using the formula;[tex]\mathbf{= \dfrac{n\times (n -1)}{2}}[/tex]where; n is the node = 9actual connections = 9[tex]\mathbf{= \dfrac{9\times (9 -1)}{2}}[/tex][tex]\mathbf{= \dfrac{9\times (8)}{2}}[/tex][tex]\mathbf{= \dfrac{72}{2}}[/tex]= 36Now, the network density can be estimated as:[tex]\mathbf{Network \ density = \dfrac{Actual \ connection}{Potential \ connection}}[/tex][tex]\mathbf{Network \ density = \dfrac{9}{36}}[/tex][tex]\mathbf{Network \ density = \dfrac{1}{4}}[/tex]Network density = 0.25Network density = 25%Therefore, we can conclude that the density of this network is 25%.Learn more about network density here:https://brainly.com/question/24787926?referrer=searchResults

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