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Module 1: Physical Layer & Data Communication

20262m

A fully connected mesh network contains 8 nodes. Every pair of nodes requires a dedicated point-to-point link. How many links are required?

(i) 16
(ii) 28
(iii) 32
(iv) 56

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Answer: (ii) 28

In a fully connected mesh, every pair of nodes has a dedicated link:

Links=n(n−1)2=8×72=28\text{Links} = \frac{n(n-1)}{2} = \frac{8 \times 7}{2} = 28

(Each node also needs n−1=7n-1 = 7 I/O ports.)

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