28 citations · 94 across the 22 of their papers we have counts for
5 papers · 1 filter
Lines, betweenness and metric spaces
Pierre Aboulker, Xiaomin Chen, Guangda Huzhang +2
A classic theorem of Euclidean geometry asserts that any noncollinear set of points in the plane determines at least distinct lines. Chen and Chvátal conjectured that this…
About several classes of bi-orthogonal polynomials and discrete integrable systems
Xiangke Chang, Xiaomin Chen, Xingbiao Hu +1
By introducing some special bi-orthogonal polynomials, we derive the so-called discrete hungry quotient-difference (dhQD) algorithm and a system related to the QD-type discrete hun…
A generalized nonisospectral Camassa-Holm equation and its multipeakon solutions
Xiangke Chang, Xiaomin Chen, Xingbiao Hu
Motivated by the paper (Beals, Sattinger and Szmigielski, Adv. Math. 154 (2000) 229--257), we propose an extension of the Camassa-Holm equation, which also admits the multipeakon s…
Nordhaus-Gaddum-type problems for lines in hypergraphs
Xiaomin Chen, Peihan Miao
We study the number of lines in hypergraphs in a more symmetric setting, where both the hypergraph and its complement are considered. In the general case and in some special cases,…
Graph metric with no proper inclusion between lines
Xiaomin Chen, Guangda Huzhang, Peihan Miao +1
In trying to generalize the classic Sylvester-Gallai theorem and De Bruijn-Erdős theorem in plane geometry, lines and closure lines were previously defined for metric spaces and hy…