12 citations · 22 across the 16 of their papers we have counts for
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math.CO2014★ 1 cited
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…
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…