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The maximum number of induced $C_5$s in a planar graph

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 نشر من قبل Oliver Janzer
 تاريخ النشر 2020
  مجال البحث
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Finding the maximum number of induced cycles of length $k$ in a graph on $n$ vertices has been one of the most intriguing open problems of Extremal Graph Theory. Recently Balogh, Hu, Lidick{y} and Pfender answered the question in the case $k=5$. In this paper we determine precisely, for all sufficiently large $n$, the maximum number of induced $5$-cycles that an $n$-vertex planar graph can contain.



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