On graphs which contain each tree of given size (Q1356784)

There is a conjecture by Dobson that a graph of sufficiently large girth and minimum degree contains each tree of a given size. In this sense, the paper proves that for a graph \(G\) with girth at least 7 and a tree \(T\) of size \(k\) the following holds: If the minimum degree of \(G\) is at least \(k/3\) and also at least the maximum degree of \(T\) then \(G\) contains \(T\).