WebLet Gbe a T-free graph on nvertices with mcopies of H. Instead of studying Gdirectly, we will consider a subgraph G0of Gthat has many H-copies and is somewhat similar to a (U;t)-blow-up of Hfor an appropriate U. We obtain the required subgraph in three steps. First, we nd an r-partite subgraph G 0 of Gthat has many H-copies. To achieve this ... Web02. sep 2024. · Get full access to this article. View all available purchase options and get full access to this article.

Many $T$ copies in $H$-free subgraphs of random graphs

Web11. jan 2024. · That is, if H is a K 3, t minor-free graph, then the maximum number of copies of H in an n -vertex K 3, t minor-free graph G is Θ ( n f ′ ( H)) , where f ′ ( H) is a graph invariant closely related to the flap-number of H. Finally, when H is a complete graph we give more precise answers. Web15. jul 2015. · For two graphs $T$ and $H$ with no isolated vertices and for an integer $n$,let $ex(n,T,H)$ denote the maximum possible number of copies of $T$ in an$H$ … example of greenfield venture

Many $T$ copies in $H$-free graphs - NASA/ADS

Web29. dec 2016. · For two fixed graphs $T$ and $H$ let $ex(G(n,p),T,H)$ be the random variable counting the maximum number of copies of $T$ in an $H$-free subgraph of the random graph ... http://www.homepages.ucl.ac.uk/~ucahsle/papers/gen-turan-trees.pdf WebF-free graphs has been investigated heavily, maximizing H-copies in other natu-ral graph classes has received less attention. In the setting of planar graphs such a study was initiated by Hakimi and Schmeichel [18]. Let f(n,H) denote the maximum number of copies of H possible in an n-vertex planar graph. Observe that f(n,H) is equal to ex(n,H,F ... bruno neurath-wilson