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Regular induced subgraphs of a random Graph
2011
Random structures & algorithms (Print)
An old problem of Erdős, Fajtlowicz and Staton asks for the order of a largest induced regular subgraph that can be found in every graph on n vertices. Motivated by this problem, we consider the order of such a subgraph in a typical graph on n vertices, i.e., in a binomial random graph G(n, 1/2). We prove that with high probability a largest induced regular subgraph of G(n, 1/2) has about n 2/3 vertices.
doi:10.1002/rsa.20324
fatcat:pdu2no663bfcrdjheuur6aqipe