  Recently Watts and Strogatz have given an interesting model of small-world
networks. Here we concretise the concept of a ``far away'' connection in a
network by defining a {\it far edge}. Our definition is algorithmic and
independent of underlying topology of the network. We show that it is possible
to control spread of an epidemic by using the knowledge of far edges. We also
suggest a model for better advertisement using the far edges. Our findings
indicate that the number of far edges can be a good intrinsic parameter to
characterize small-world phenomena.
