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From the 1 of 14 linked papers with an AI index.

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14 papers

math.CO2026

New upper bound for the Ramsey number of odd cycles

Ting Huang, Jiabao Yang, Yaojun Chen

The \emph{-color Ramsey number} is the least integer such that any -edge-coloring of a complete graph has a monochromatic odd cycle

math.CO2026

Erdős--Ko--Rado theorems in -norm for three finite spaces

Qian Bao, Yaojun Chen, Yanbo Zhang

Let be a -uniform hypergraph. The famous Erdős--Ko--Rado (1961) theorem determines the maximum size and extremal structure for being -intersectin…

math.CO2026

On monochromatic path covers conjecture of Erdős--Gyárfás

Hangdi Chen, Yaojun Chen

Erdős and Gyárfás conjectured in 1995 that, in every red--blue edge-coloring of a complete graph , the vertex set can be covered by at most monochromatic paths, a…

math.CO2026

A note on tree-cycle Ramsey numbers

Ting Huang, Yanbo Zhang, Yaojun Chen

Let denote the Ramsey number of a tree on vertices versus a cycle of length . Burr, Erdős, Faudree, Rousseau, and Schelp (1982) asked for the least…

math.CO2026

Two-block cycles and chromatic number of Hamiltonian digraphs

Ruilin Zheng, Junying Lu, Xiaolin Wang +1

The paper proves that any Hamiltonian digraph avoiding a two‑block cycle C(k,ℓ) has chromatic number at most k + ℓ − 1 for k + ℓ ≥ 6, confirming a conjectured bound.

math.CO2026

On regular homogeneously traceable nonhamiltonian graphs

Hangdi Chen, Yaojun Chen

A graph is homogeneously traceable if each vertex is an endpoint of a Hamiltonian path. Chartrand, Gould, and Kapoor (1979) proved irregular homogeneously traceable nonhamiltonian…