We deal with a map-labeling problem, named LOFL (Left- part Ordered Flexible Labeling), to label a set of points in a plane with polygonal obstacles. The label for each point is selected from a set of rectangles with various shapes satisfying the left-part ordered property, and is placed near to the point after scaled by a scaling factor s which is common to all points. In this paper, we give an optimal O((n+m) log(n+ m)) algorithm to decide the feasibility of LOFL for a fixed scaling factor σ, and an O((n + m) log2(n + m)) time algorithm to find the largest feasible scaling factor s, where n is the number of points and m is the number of edges of polygonal obstacles.
CITATION STYLE
Nakano, S. I., Nishizeki, T., Tokuyama, T., & Watanabe, S. (2001). Labeling points with rectangles of various shapes. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1984, pp. 91–102). Springer Verlag. https://doi.org/10.1007/3-540-44541-2_9
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