Titlebook: Beyond Planar Graphs; Communications of NI Seok-Hee Hong,Takeshi Tokuyama Book 2020 Springer Nature Singapore Pte Ltd. 2020 Graph Algorithm

TAP

exorbitant

Angular Resolutions: Around Vertices and Crossings,/total angular resolution of any straight-line drawing?of the graph. In this chapter, we review some of the results on angular resolution in the literature, and identify several open problems in the field.

鉗子

Crossing Layout in Non-planar Graph Drawings,c graphs?as a way to represent crossings, the slanted layout of crossings in orthogonal graph layouts, and minimizing bundled rather than individual crossings. Further, we look at concepts such as confluent graph layout and partial edge drawings, which both have no visible crossings.

流利圓滑

Simultaneous Embedding, of planarity. Afterward, we survey algorithmic approaches to the . problem, give an overview of recent results, and discuss their limitations. We close with a brief discussion of some recent variations of the simultaneous embedding?problem.

FRAX-tool

Leaven

Bumptious

1-Planar Graphs,begin with formally defining 1-plane and 1-planar graphs and mainly focus on “maximal”, “maximum,” and “optimal” 1-planar graphs, which are relatively easy to treat. This chapter reviews some basic properties of these graphs.

態(tài)度暖昧

STALE

and objectives of this book include 1) to timely provide a state-of-the-art survey and a bibliography on beyond planar graphs; 2) to set the research agenda on beyond planar graphs by identifying fundamental r978-981-15-6535-9978-981-15-6533-5

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Edge Partitions and Visibility Representations of 1-planar Graphs, studied for planar graphs, they recently attracted attention also for 1-planar graphs, i.e., those graphs that can be drawn in the plane such that each edge is crossed at most once. After giving an overview of 1-planarity, we survey the main results concerning edge partitions and visibility represe