19 citations · 19 across the 2 of their papers we have counts for
4 papers
Piercing independent sets in graphs without large induced matching
Jiangdong Ai, Hong Liu, Zixiang Xu +1
Given a graph , denote by the smallest size of a subset of which intersects every maximum independent set of . We prove that any graph without induced match…
A new variant of the Erdős-Gyárfás problem on
Gennian Ge, Zixiang Xu, Yixuan Zhang
Motivated by an extremal problem on graph-codes that links coding theory and graph theory, Alon recently proposed a question aiming to find the smallest number such that there…
Euclidean Gallai-Ramsey for various configurations
Xinbu Cheng, Zixiang Xu
The Euclidean Gallai-Ramsey problem, which investigates the existence of monochromatic or rainbow configurations in a colored -dimensional Euclidean space , was…
Analytic proof of partial conservation of seniority in shells
Chong Qi, Z. X. Xu, R. J. Liotta
A partial conservation of the seniority quantum number in shells has been found recently in a numerical application. In this paper a complete analytic proof for this proble…