| 关于平行三角形集簇直线横截的Helly数 |
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| 引用本文： | 苏战军,丁仁.关于平行三角形集簇直线横截的Helly数[J].东北数学,2004,20(1):84-88. |
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| 作者姓名： | 苏战军 丁仁 |
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| 作者单位： | DepartmentofMathematics,HebeiNormalUniversity,Shijiazhuang,050016 |
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| 摘 要： | We prove two results about the problem of finding the Helly number for line transversals to a family of parallel triangles in the plane: (1) If each three triangles of a family of parallel right triangles are intersected by an ascending (or a descending) line, then there is an ascending (or a descending) line that intersects all the triangles of the family; (2) If each three triangles of a family of parallel obtuse triangles are intersected by an ascending (or a descending) line, then there is an ascending (or a descending) line that intersects all the triangles of the family. We also obtain that the Helly number of a family of parallel right or obtuse triangles is 3.
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| 关 键 词： | 平行三角形集簇 直线横截 Helly数 凸集 |
On the Helly Number for Line Transversals to Parallel Triangles |
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