Geodesic
Generalized Turán problems for small graphs
Discussiones Mathematicae. Graph Theory, Tome 43 (2023) no. 2, pp. 549-572

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For graphs H and F, the generalized Turán number ex(n,H,F) is the largest number of copies of H in an F-free graph on n vertices. We consider this problem when both H and F have at most four vertices. We give sharp results in almost all cases, and connect the remaining cases to well-known unsolved problems. Our main new contribution is applying the progressive induction method of Simonovits for generalized Turán problems.
Keywords: generalized Turán problem, extremal 
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     author = {Gerbner, D\'aniel},
     title = {Generalized {Tur\'an} problems for small graphs},
     journal = {Discussiones Mathematicae. Graph Theory},
     pages = {549--572},
     publisher = {mathdoc},
     volume = {43},
     number = {2},
     year = {2023},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DMGT_2023_43_2_a15/}
}
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Gerbner, Dániel. Generalized Turán problems for small graphs. Discussiones Mathematicae. Graph Theory, Tome 43 (2023) no. 2, pp. 549-572. http://geodesic.mathdoc.fr/item/DMGT_2023_43_2_a15/