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- W2158541808 abstract "Consider the problem of determining the maximal induced subgraph in a random $d$-regular graph such that its components remain bounded as the size of the graph becomes arbitrarily large. We show, for asymptotically large $d$, that any such induced subgraph has size density at most $2(log d)/d$ with high probability. A matching lower bound is known for independent sets. We also prove the analogous result for sparse ErdH{o}s-R'{e}nyi graphs." @default.
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- W2158541808 date "2015-09-23" @default.
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- W2158541808 title "Percolation with Small Clusters on Random Graphs" @default.
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- W2158541808 doi "https://doi.org/10.1007/s00373-015-1628-0" @default.
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