On the largest component of a random graph with a subpower-law degree sequence in a subcritical phase (Q939084)
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| Language | Label | Description | Also known as |
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| English | On the largest component of a random graph with a subpower-law degree sequence in a subcritical phase |
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On the largest component of a random graph with a subpower-law degree sequence in a subcritical phase (English)
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20 August 2008
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A uniform random graph \(G\) of order \(n\) with a fixed degree sequence obeying a \(\gamma\) subpower law is studied. For \(\gamma>3\) the order of the largest component of \(G\) is shown with high probability to be a power of \(n\) not exceeding \(\gamma-1 + O(\log \log n / \log n)\).
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random graph
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degree sequence
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power law
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largest component
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