Exact VC-dimension for $L_1$-visibility of points in simple polygons
نویسندگان
چکیده
The VC-dimension plays an important role for the algorithmic problem of guarding art galleries efficiently. We prove that inside a simple polygon at most 5 points can be shattered by L1-visibility polygons and give an example where 5 points are shattered. The VCdimension is exactly 5. The proof idea for the upper bound is different from previous approaches.
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عنوان ژورنال:
- CoRR
دوره abs/1705.01723 شماره
صفحات -
تاریخ انتشار 2017