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Claim. For positive integers $a,b$ with $b\ge\max(a,(a-1)^2)$ the rational $\alpha=2-\frac ab$ is a Turán exponent (Theorem 1.2), a strong form of a conjecture of Jiang, Jiang and Ma. In the Bukh--Conlon rooted-graph framework the lower bound is Lemma 1.3, and the paper proves the matching upper bound of the Bukh--Conlon conjecture for the rooted trees $F_{r,s}$ of Jiang, Jiang and Ma with $r\ge s+2\ge3$ (Theorem 1.5), of density $(rs+r)/(r+1)$. The site's commentary gives the range as $b\ge(a-1)^2$. The statements are recorded on the library's source card.

Covers. The instances $\alpha=2-\frac ab$ with $b\ge\max(a,(a-1)^2)$, each realized by a single bipartite graph. The statement for every rational $\alpha\in[1,2)$ is settled by the accepted claim page Adamczewski 2026.

Depends on. Nothing in this wiki; the result is the paper's own theorem.

Acceptance. Refereed: D. Conlon and O. Janzer, Rational exponents near two, Adv. Comb. (2022), Paper No. 9, 10 pp., doi:10.19086/aic.2022.9, a refereed journal. First posting: arXiv:2203.03375, v1 7 March 2022 (the date this page is named by), v2 13 December 2022. No reviewed evidence is listed: the site's commentary lists these exponents among the Turán exponents known before 2026 and credits the paper, but its label credits GPT-6 Astra with the full proof and is not an acceptance of this result.

Read depth. The statements are taken from the paper's abstract and the result list on the library card; no proof was read, and nothing is independently reviewed in this corpus.