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?

Answer 1

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:

$\mathbf{Network \ density = \dfrac{Actual \ connection}{Potential \ connection}}$

The potential connection in a network system can be calculated by using the formula;

$\mathbf{= \dfrac{n\times (n -1)}{2}}$

where;

• n is the node = 9
• actual connections = 9

$\mathbf{= \dfrac{9\times (9 -1)}{2}}$

$\mathbf{= \dfrac{9\times (8)}{2}}$

$\mathbf{= \dfrac{72}{2}}$

= 36

Now, the network density can be estimated as:

$\mathbf{Network \ density = \dfrac{Actual \ connection}{Potential \ connection}}$

$\mathbf{Network \ density = \dfrac{9}{36}}$

$\mathbf{Network \ density = \dfrac{1}{4}}$

Network density = 0.25

Network density = 25%

Therefore, we can conclude that the density of this network is 25%.

Learn more about network density here:

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