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From the 1 of 9 linked papers with an AI index.

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9 papers

math.CO2026

On a conjecture of Kolokolnikov on algebraic connectivity

Cheng Chi, Junjie Wang, Jiaxin Zheng

For a graph , let be the second smallest eigenvalue of the Laplacian matrix of , also known as the algebraic connectivity. Algebraic connectivity plays an important ro…

math.CO2026

On three open problems in zero-sum Ramsey numbers

Cheng Chi, Jialin He, Quan Sun

Let denote the -vertex complete -uniform hypergraph. For an -uniform hypergraph and an integer , the -color Ramsey number is the least…

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

A note on zero-sum Ramsey numbers of complete graphs

Cheng Chi, Jialin He, Fuhong Ma

For a graph with , the zero-sum Ramsey number is the least integer such that every labeling of the edges of by elements of contains a c…

math.CO2026

On Zero-sum Ramsey numbers of complete bipartite graphs

Cheng Chi, Jialin He

For an integer and a graph satisfying , the zero-sum Ramsey number is the least integer such that every edge-labeling $w\colon E(K_n…

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 ,…