3 problems

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McKinley–Spiro random Turán conjecture for bipartite graphs
Let $F$ be a graph with … for some $\alpha\in(1,2]$ . Write $G_{n,p}$ for the random graph with edge probability $p$ , and let $d_2(F)$ denote the 2-density parameter appearing in th…
Conjectureopenbipartite-graphs extremal-combinatorics random-turan-theoryarXiv posted 3 days ago
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Piecewise growth-rate conjecture for $\operatorname{ex}(G_{n,p}^{(3)},C_4^{(3)})$
Let $G_{n,p}^{(3)}$ be the random 3-uniform hypergraph on $n$ vertices, let $C_4^{(3)}$ be the 3-uniform expansion of the 4-cycle, and let…
Conjectureopenhypergraph-cycles random-hypergraphs random-turan-theoryarXiv posted 3 days ago
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Conjecture on the $C_4^{(3)}$ -free subgraph number of random 3-graphs
Let $G_{n,p}^{(3)}$ be the random 3-uniform hypergraph on $n$ vertices, let $C_4^{(3)}$ be the 3-uniform expansion of the 4-cycle, and let…
Conjectureopenhypergraph-cycles random-hypergraphs random-turan-theoryarXiv posted 3 days ago

McKinley–Spiro random Turán conjecture for bipartite graphs