Let be a family of graphs. The Turán number e x ( n ; F ) is defined to be the maximum number of edges in a graph of order that is -free. In 1959, Erdős and Gallai determined the Turán number of M k + 1 (a matching of size ) as follows: Since then, there has been a lot of research on Turán number of linear forests.
Jul 5, 2018 · If \mathcal{F} contains a graph on n vertices, then we often call the problem a spanning Turán problem. A linear forest is a graph whose ...
Feb 15, 2019 · If F contains a graph on n vertices, then we often call the problem a spanning Turán problem. A linear forest is a graph whose connected ...
If $\mathcal{F}$ contains a graph on $n$ vertices, then we often call the problem a spanning Turán problem. A linear forest is a graph whose connected ...
Feb 1, 2022 · Given a graph T and a family of graphs F , the generalized Turán number of F is the maximum number of copies of T in an F -free graph on n ...
Jul 5, 2018 · Abstract. For a set of graphs F, the extremal number ex(n;F) is the maximum number of edges in a graph of order n not containing any ...
The Turán number $ex(n;\mathcal{F})$ is defined to be the maximum number of edges in a graph of order $n$ that is $\mathcal{F}$-free. In 1959, Erdős and Gallai ...
Sep 9, 2024 · If $\mathcal{F}$ contains a graph on $n$ vertices, then we often call the problem a spanning Tur\'{a}n problem. A linear forest is a graph whose ...
Given a graph T and a family of graphs F , the generalized Turán number of F is the maximum number of copies of T in an F -free graph on n vertices, denoted by ...
Nov 24, 2022 · The maximum linear forest number l(G) is the maximum size of linear forests in G. A matching M is a set of pairwise nonadjacent edges of G. The ...