Hong Liu

activity

20102026

most citedUpper bounds on the size of 4- and 6-cycle-free subgraphs of the hypercube

58 citations · 220 across the 56 of their papers we have counts for

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3 papers · 1 filter

math.CO2026

A proof of the rational exponents conjecture

David Conlon, Oliver Janzer, Tao Jiang +5

The rational exponents conjecture of Erdős and Simonovits asserts that for every rational $r \in [1, 2]$ there exists a graph $H$ such that $ex (n, H) = Θ (n^{r})$ . We present a pr…

math.CO2026

A Near-Optimal Linear Range for the Erdős Matching Conjecture

Mengyu Cao, Hong Liu, Haixiang Zhang

The Erdős Matching Conjecture is governed by two competing ways of excluding $s + 1$ disjoint edges: one may concentrate all edges on fewer than $k (s + 1)$ vertices, or force every edg…

math.CO2026

Strong counterexamples to Mubayi's supersaturation conjecture in every uniformity

Heng Li, Hong Liu, Xizhi Liu +1

The supersaturation problem asks, for a fixed $r$ -graph $F$ , for the minimum number of copies of $F$ in an $n$ -vertex $r$ -graph with $\ex(n,\mathcal F)+q$ edges.…