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