Dense subgraphs in random graphs

For a constant USD \gamma \in[0,1] USD and a graph USD G USD, let USD \omega_{\gamma}(G) USD be the largest integer USD k USD for which there exists a USD k USD-vertex subgraph of USD G USD with at least USD \gamma\binom{k}{2} USD edges. We show that if USD 0<p<\gamma<1 USD then...

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Bibliographic Details
Main Authors: Balister, P, Bollobás, B, Sahasrabudhe, J, Veremyev, A
Format: Journal article
Language:English
Published: Elsevier 2019