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From the 1 of 7 linked papers with an AI index.

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7 papers

math.CO2026

Extremal Families for the Erdős--Kleitman Problem: The Missing Constructions

Cheng Chi, Yan Wang

The paper identifies new extremal families for the Erdős–Kleitman problem by analyzing weighted constructions and confirms the Frankl–Kupavskii meta‑conjecture in many parameter ra…

math.CO2026

Perfect matching in 4-partite 4-uniform hypergraphs

Hongliang Lu, Yan Wang, Feihong Yuan

A balanced -partite -graph is a -uniform hypergraph such that every edge intersects each partition class in exactly one vertex, where each partition class has size . Lo…

math.CO2026

New Extremal Ranges and Constructions of the Erdős--Kleitman Problem

Cheng Chi, Yan Wang

For integers , let denote the maximum size of a family with no pairwise disjoint members. The problem of determining ,…

math.CO2026

Proofs of Two Conjectures of Alon on Subgraph Counts

Peiru Kuang, Shuang Sun, Yan Wang +1

All graphs considered are finite with no isolated vertices. Let be the maximum number of subgraphs of a graph isomorphic to , taken over all graphs with edg…

math.CO2026

Induced subdivisions in graphs of large girth

Peiru Kuang, Yan Wang

In this paper, we prove that there exists an absolute constant such that, for every integer , every graph with and contains an induced…

math.CO2026

Graphs with girth 8 and without longer even holes are 3-colorable

Yan Wang, Rong Wu

For an integer , let denote the family of graphs which have girth and have no even hole of length greater than . Wu, Xu and Xu conject…