Jian Wang

activity

20122026

most citedThe formula for Turán number of spanning linear forests

18 citations · 33 across the 23 of their papers we have counts for

collaborators

Showing 2022Show all

6 papers · 1 filter

math.CO2022★ 3 cited

Best possible bounds on the double-diversity of intersecting hypergraphs

Peter Frankl, Jian Wang

For a family $F \subset (k [ n ])$ and two elements $x, y \in [n]$ define $F (x ˉ, y ˉ) = {F \in F : x \in / F, y \in / F}$ . The double-di…

math.CO2022

Improved bounds concerning the maximum degree of intersecting hypergraphs

Peter Frankl, Jian Wang

For positive integers $n > k > t$ let $(k [ n ])$ denote the collection of all $k$ -subsets of the standard $n$ -element set $[n] = {1, \dots, n}$ . Subsets of $(k [ n ])$ are ca…

math.CO2022★ 1 cited

Intersecting families with covering number three

Peter Frankl, Jian Wang

We consider $k$ -graphs on $n$ vertices, that is, $F \subset (k [ n ])$ . A $k$ -graph $F$ is called intersecting if $F \cap F^{'} \neq = \emptyset$ for all $F,F'\in…

math.CO2022

A Product Version of the Hilton-Milner-Frankl Theorem

Peter Frankl, Jian Wang

Two families $F, G$ of $k$ -subsets of ${1, 2, \dots, n}$ are called non-trivial cross $t$ -intersecting if $∣ F \cap G ∣ \geq t$ for all $F\in \mathcal{F}, G\in \math…

math.CO2022

Counterexamples to Gerbner's Conjecture on Stability of Maximal $F$ -free Graphs

Jian Wang, Shipeng Wang, Weihua Yang

Let $F$ be an $(r + 1)$ -color critical graph with $r \geq 2$ , that is, $χ (F) = r + 1$ and there is an edge $e$ in $F$ such that $χ (F - e) = r$ . Gerbner recently conjectured that every $n$ -ver…

math.CO2022

Intersections and Distinct Intersections in Cross-intersecting Families

Peter Frankl, Jian Wang

Let $F, G$ be two cross-intersecting families of $k$ -subsets of ${1, 2, \dots, n}$ . Let $F \land G$ , $I (F, G)$ d…

Best possible bounds on the double-diversity of intersecting hypergraphs

Improved bounds concerning the maximum degree of intersecting hypergraphs

Intersecting families with covering number three

A Product Version of the Hilton-Milner-Frankl Theorem

Counterexamples to Gerbner's Conjecture on Stability of Maximal F-free Graphs

Intersections and Distinct Intersections in Cross-intersecting Families

Counterexamples to Gerbner's Conjecture on Stability of Maximal $F$ -free Graphs