SOFSEM 2023: Theory and Practice of Computer Science - 48th International Conference on Current Trends in Theory and Practice of Computer Science, SOFSEM 2023, Nový Smokovec, Slovakia, January 15-18, 2023, Proceedings
SOFSEM 2023: Theory and Practice of Computer Science - 48th International Conference on Current Trends in Theory and Practice of Computer Science, SOFSEM 2023, Nový Smokovec, Slovakia, January 15-18, 2023, Proceedings
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SOFSEM 2023：计算机科学的理论与实践 - 第 48 届计算机科学理论与实践当前趋势国际会议，SOFSEM 2023，斯洛伐克 Nová Smokovec，2023 年 1 月 15-18 日，论文集
DOI：
10.1007/978-3-031-23101-8_8
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发表时间：
2023
期刊：
影响因子：
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通讯作者：
Didimo W
中科院分区：
文献类型：
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作者：
Didimo W
正交图绘图用于UML图、VLSI布局、电缆计划和地铁地图等应用程序中。我们专注于绘制平面图，并假设我们给出了描述所需形状的an，但不是绘图的精确坐标。我们的目标是计算网格上的正交绘图，该绘图在所有遵循给定正交表示的网格绘图中具有最小面积。该问题称为正交压缩（OC），已知即使对于循环的正交表示也是NP难的[Evans等人。2022]。我们调查的复杂性ofOC相对于几个参数。除其他外，我们表明，OC是固定的参数易于处理的最自然的这些参数，即，正交表示的数量：在正交表示的小猫角对的存在使得OC问题的困难。非正式地说，一对猫角是一对反射角的脸，指向对方。因此，小猫角的数量是涉及某对小猫角的角的数量。
Orthogonal graph drawings are used in applications such as UML diagrams, VLSI layout, cable plans, and metro maps. We focus on drawing planar graphs and assume that we are given an that describes the desired shape, but not the exact coordinates of a drawing. Our aim is to compute an orthogonal drawing on the grid that has minimum area among all grid drawings that adhere to the given orthogonal representation.This problem is called orthogonal compaction (OC) and is known to be NP-hard, even for orthogonal representations of cycles [Evans et al. 2022]. We investigate the complexity ofOCwith respect to several parameters. Among others, we show thatOCis fixed-parameter tractable with respect to the most natural of these parameters, namely, the number of of the orthogonal representation: the presence of pairs of kitty corners in an orthogonal representation makes theOCproblem hard. Informally speaking, a pair of kitty corners is a pair of reflex corners of a face that point at each other. Accordingly, the number of kitty corners is the number of corners that are involved in some pair of kitty corners.