UGC NET CSE | June 2013 | Part 3 | Question: 16

Question

In a fully connected mesh network with n devices, there are _____  physical channels to link all devices.

• A. n(n-1)/2
• B. n(n+1)/2
• C. 2n
• D. 2n+1

Answer 1

Suppose there are N devices in network. In a mesh network every device can connect remaining (n-1) device.

Here Link Between two device will be counted 2 times.

Hence,Total Number of Physical channel required to Link between all device= $\frac{n(n-1)}{2}$

Hence,Option(A)$\frac{n(n-1)}{2}$.

Answer 2

mesh is point to point connectivity it is most reliable topology.

e.g if there are 2 devices(A,B) physical channel will be 1 from A to B  or 2(2-1)/2

     if there are 3 devices physical channel will be  3   from A to B , A to C , B to C  3(3-1)/2

     if there are n devices physical channel will be n(n-1)/2 it is just like round robin league

so ans is A