{HEAD ~ The present invention} relates generally to communication systems and, more particularly, to {TAIL ~ methods} for analyzing and reducing the cost of survivability in IP networks while considering link weights, link utilization, and adding links to the network topology 
{ HEAD ~ The present invention } relates generally to communication systems and , more particularly , to { TAIL ~ methods } for analyzing and reducing the cost of survivability in IP networks while considering link weights , link utilization , and adding links to the network topology
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