ArticleOriginal scientific textThe Turán number of the graph
Title
The Turán number of the graph
Authors ,
Abstract
Let denote the maximum number of edges in a graph on vertices which does not contain as a subgraph. Let denote a path consisting of vertices and let denote disjoint copies of . In this paper we count .
Bibliography
- Bushaw, N., Kettle, N., Turán numbers of multiple paths and equibipartite forests, Combin. Probab. Comput. 20 (2011), 837-853.
- Erdős, P., Gallai, T., On maximal paths and circuits of graphs, Acta Math. Acad. Sci. Hungar. 10 (1959), 337-356.
- Faudree, R. J., Schelp, R. H., Path Ramsey numbers in multicolorings, J. Combin. Theory Ser. B 19 (1975), 150-160.
- Gorgol, I., Turán numbers for disjoint copies of graphs, Graphs Combin. 27 (2011), 661-667.
- Harary, F., Graph Theory, Addison-Wesley, Mass.-Menlo Park, Calif.-London, 1969.