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- W3204905327 abstract "The planar Turan number $textrm{ex}_{mathcal{P}}(C_{ell},n)$ is the largest number of edges in an $n$-vertex planar graph with no $ell$-cycle. For $ellin {3,4,5,6}$, upper bounds on $textrm{ex}_{mathcal{P}}(C_{ell},n)$ are known that hold with equality infinitely often. Ghosh, Gy{o}ri, Martin, Paulo, and Xiao [arxiv:2004.14094] conjectured an upper bound on $textrm{ex}_{mathcal{P}}(C_{ell},n)$ for every $ellge 7$ and $n$ sufficiently large. We disprove this conjecture for every $ellge 11$. We also propose two revised versions of the conjecture." @default.
- W3204905327 created "2021-10-11" @default.
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- W3204905327 date "2021-10-05" @default.
- W3204905327 modified "2023-09-27" @default.
- W3204905327 title "Planar Tur'{a}n Numbers of Cycles: A Counterexample." @default.
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