From the 1 of 4 linked papers with an AI index.
4 papers
Finite palette endpoints and degree-square Turán problems
Jiangdong Ai, Bin Chen, Ming Chen +2
The paper investigates extremal color‑palette problems motivated by uniform Turán densities of 3‑uniform hypergraphs, showing they reduce to maximizing the sum of squared out‑degre…
A weighted cycle-localization inequality
Jiangdong Ai, Bin Chen, Ming Chen +1
In 1959, ErdÅs and Gallai showed that every -connected graph contains a cycle of length at least . This result was subsequently extended to weight…
An improvement bound on a problem of Picasarri-Arrieta and Rambaud
Bin Chen, Xinmin Hou, Yue Ma +2
Let and be positive integers. A cycle with two blocks is a digraph consisting of two internally vertex disjoint directed paths of lengths and with…
Paths with two blocks in oriented graphs of large minimum semi-degree
Bin Chen, Xinmin Hou, Xinyu Zhou
Stein (2020) conjectured that for any positive integer , every oriented graph of minimum semi-degree greater than contains every oriented path of length . This conjectu…