Network resiliency has become crucial as the failure of a group of networks happens more frequently, being caused by either natural disasters or malicious attacks. In order to enhance the resiliency of the Internet, we show that changing the evolving strategy is more important than increasing the number of links by multihoming, which connects a single network with two or more links. From the simulation with Internet topologies, it is shown that the resiliency of the Internet can be enhanced by replacing the current evolving strategy only in part.