Cut-threshold graphs (Q2277496)

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Cut-threshold graphs
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    Cut-threshold graphs (English)
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    1991
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    The authors study the structure of the networks in which connectedness and disconnectedness can be expressed by a threshold system. So the elements of the network have a certain ``destruction cost'' and an enemy can disconnect the network if and only if he pays a large enough price. The authors give polynomial algorithms for the recognition of such networks, and for the determination of the appropriate costs and threshold value.
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    cut-threshold graph
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    connectedness
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    disconnectedness
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    polynomial algorithms
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