Many t copies in h-free graphs
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 ... WebFor 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-free graph on n vertices. The study of this function when T = K2 is a single edge is the main subject of extremal graph theory. For two graphs T and H and for an integer n, let ex(n, T, H) denote the ...
Many t copies in h-free graphs
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Web12. maj 2024. · The generalized Turán number ex (n,K_s,H) is defined to be the maximum number of copies of a complete graph K_s in any H -free graph on n vertices. Let F be an even linear forest, that is, F consists of paths of even order. In this paper, we determine the value of ex (n,K_s,F), which generalizes or improves some known results on generalized ... Web10. nov 2024. · 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-free graph on n vertices.
WebFor 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-free graph on n vertices. The study of this function when T = K2 is a single edge is the main subject of extremal graph theory. WebAbstract. 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-free graph on n …
Web01. jan 2024. · We consider a generalized Turán-type problem. Fix graphs T and H, and define the function e x (n, T, H) to be the maximum number of (unlabeled) copies of T in an H-free graph on n vertices. When T = K 2, we have the usual extremal number e x (n, T, H) = e x (n, H). There are many notable papers studying the e x (n, T, H) function for … Web15. sep 2014. · Abstract: 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 …
WebFor 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 $H$-free …
Web01. nov 2016. · 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-free graph on … the house of cobwebs and other storiesWeb01. avg 2024. · We prove that the maximum number of triangles in a C 5-free graph on n vertices is at most 1 2 2 (1 + o (1)) n 3 / 2, improving an estimate of Alon and Shikhelman [Alon, N. and C. Shikhelman, Many T copies in H-free graphs. Journal of Combinatorial Theory, Series B 121 (2016) 146-172]. the house of colorsWebF-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 ... the house of collabWeb29. dec 2016. · Let ex G (n, p), T, H be the random variable that counts the maximum number of copies of T in an H-free subgraph of G (n, p). ... ... It seems natural to guess … the house of commons terraceWeb01. nov 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-free graph on n … the house of creedWeb29. okt 2024. · The determination of the Turán number ex r ( n, \cal {T},\cal {H}) has become the fundamental core problem in extremal graph theory ever since the pioneering work of Turán’s theorem was published in 1941. Although we have some rich results for the simple graph case, only sporadic results have been known for the hypergraph Turán problems. the house of crows paul dohertyWeb15. jul 2015. · Upload an image to customize your repository’s social media preview. Images should be at least 640×320px (1280×640px for best display). the house of cloudz