Abstract
We prove that a.a.s. the maximum size of an induced subtree of the binomial random graph G(n,p) is concentrated in 2 consecutive points. We also prove that, given a non-negative integer-valued function t(k)<εk2, under a certain smoothness condition on this function, a.a.s. the maximum size k of an induced subgraph with exactly t(k) edges of G(n,p) is concentrated in 2 consecutive points as well.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have