The Extremal Function for Sparse Minors

by Andrew Thomason

Abstract:

Given a graph H, let c(H) be the smallest constant c such that every
graph G with c|G| edges contains H as a minor. We give an upper bound
(due to Wales+T) on c(H), depending only on the number of vertices in H
and its average degree, such that (due to Norin+Reed+T+Wood) the bound is
tight for almost all H with these parameters.

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Tuesday
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Andrew Thomason