2 citations · 2 across the 3 of their papers we have counts for
3 papers
math.CO2014
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,…
math.MG2014
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…
math.CO2013★ 2 cited
Number of lines in hypergraphs
Pierre Aboulker, Adrian Bondy, Xiaomin Chen +3
Chen and Chvátal introduced the notion of lines in hypergraphs; they proved that every 3-uniform hypergraph with vertices either has a line that consists of all vertices or…