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Explanation:

Nodes 1 & 2 will be connected with 5 links each hence, we get 10 links

Nodes 3, 4, 5, and 6 will be connected witih 4 links each hence, we get 16 links.

Total links = 10 + 16 = 26.

Now since each link connects 2 nodes, unique number of links = 26/2 = 13. 

Alternately,
(Note : In the diagram given below, the top two nodes are connected to all the other nodes, while  the remaining four are connected to only four other nodes).

You find that the total number of links in the network is 13.

Hence, option (a).

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