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20182026
most citedProximity and Remoteness in Directed and Undirected Graphs

1 citations · 1 across the 20 of their papers we have counts for

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math.CO2026

The asymptotic maximum oriented diameter of graphs

Jiangdong Ai, Yaokun Feng, Hui Lei +1

The oriented diameter of a connected bridgeless graph is the minimum diameter of a strong orientation. Let be the maximum oriented diameter among all such graphs of diameter…

math.CO2026

A linear bound for nested cycles without geometric crossings

Jiangdong Ai, Gregory Gutin, Yiming Hao

Cycles in a graph are called nested without geometric crossings if they are pairwise edge-disjoint, , and each pair of conse…

math.CO2026

Improved Bounds for Unavoidable Claws in Tournaments

Jiangdong Ai, Yongxin Lan

Let be the largest integer such that every -vertex claw with at most branches occurs in every tournament on vertices, and let $c_{\mathrm{claw}}=\limsup_{n\to…

math.CO2026

Finite palette endpoints and degree-square Turán problems

Jiangdong Ai, Bin Chen, Ming Chen +2

We study finite palette extremal problems motivated by uniform Turán densities of -uniform hypergraphs. Given a self-converse tournament with at least two vertices, we deter…

math.CO2026

Quasi-kernels in Hereditary Classes and Applications to Break

Jiangdong Ai, Tianyu Huang, Xiangzhou Liu +2

Recently, Nguyen, Seymour and Scott verified the small quasi-kernel conjecture for split digraphs, and initiated the study of quasi-kernels in break digraphs. Following their resea…

math.CO2026

A quadratic refinement of Jackson's \CE\ condition for Hamilton cycles in digraphs

Jiangdong Ai, Yongtang Shi

For a digraph , let be the largest size of a vertex set no two of whose vertices lie in a common directed -cycle. Let be the least integer such that eve…

math.CO2026

A weighted cycle-localization inequality

Jiangdong Ai, Bin Chen, Ming Chen +1

In 1959, Erdős and Gallai showed that every -connected graph contains a cycle of length at least . This result was subsequently extended to weighte…