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- W2950871180 abstract "The emph{blow-up} of a graph $H$ is the graph obtained from replacing each edge in $H$ by a clique of the same size where the new vertices of the cliques are all different. ErdH{o}s et al. and Chen et al. determined the extremal number of blow-ups of stars. Glebov determined the extremal number and found all extremal graphs for blow-ups of paths. We determined the extremal number and found the extremal graphs for the blow-ups of cycles and a large class of trees, when $n$ is sufficiently large. This generalizes their results. The additional aim of our note is to draw attention to a powerful tool, a classical decomposition theorem of Simonovits." @default.
- W2950871180 created "2019-06-27" @default.
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- W2950871180 date "2012-10-29" @default.
- W2950871180 modified "2023-09-23" @default.
- W2950871180 title "Extremal graphs for blow-ups of cycles and trees" @default.
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- W2950871180 doi "https://doi.org/10.48550/arxiv.1210.7869" @default.
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