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- W2985771343 abstract "Alon and Shikhelman initiated the systematic study of the following generalized Turan problem: for fixed graphs $H$ and $F$ and an integer $n$, what is the maximum number of copies of $H$ in an $n$-vertex $F$-free graph? An edge-colored graph is called rainbow if all its edges have different colors. The rainbow Turan number of $F$ is defined as the maximum number of edges in a properly edge-colored graph on $n$ vertices with no rainbow copy of $F$. The study of rainbow Turan problems was initiated by Keevash, Mubayi, Sudakov and Verstraete. Motivated by the above problems, we study the following problem: What is the maximum number of copies of $F$ in a properly edge-colored graph on $n$ vertices without a rainbow copy of $F$? We establish several results, including when $F$ is a path, cycle or tree." @default.
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- W2985771343 date "2019-11-15" @default.
- W2985771343 modified "2023-09-23" @default.
- W2985771343 title "Generalized rainbow Tur'an problems" @default.
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