arXiv
Open Access
2022
Rational exponents near two
David Conlon
Oliver Janzer
Abstrak
A longstanding conjecture of Erdős and Simonovits states that for every rational $r$ between $1$ and $2$ there is a graph $H$ such that the largest number of edges in an $H$-free graph on $n$ vertices is $Θ(n^r)$. Answering a question raised by Jiang, Jiang and Ma, we show that the conjecture holds for all rationals of the form $2 - a/b$ with $b$ sufficiently large in terms of $a$.
Topik & Kata Kunci
Penulis (2)
D
David Conlon
O
Oliver Janzer
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2022
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- en
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- arXiv
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- Open Access ✓