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

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发表于 2025-3-21 16:26:14 | 显示全部楼层 |阅读模式
期刊全称Beyond Planar Graphs
期刊简称Communications of NI
影响因子2023Seok-Hee Hong,Takeshi Tokuyama
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发行地址Provides a state-of-the-art survey and a bibliography on beyond planar graphs.Sets the research agenda on beyond planar graphs with fundamental research questions and new research directions.Fosters c
图书封面Titlebook: Beyond Planar Graphs; Communications of NI Seok-Hee Hong,Takeshi Tokuyama Book 2020 Springer Nature Singapore Pte Ltd. 2020 Graph Algorithm
影响因子This book is the first general and extensive review on the algorithmics and mathematical results of beyond planar graphs. Most real-world data sets are relational and can be modelled as graphs consisting of vertices and edges. Planar graphs are fundamental for both graph theory and graph algorithms and are extensively studied. Structural properties and fundamental algorithms for planar graphs have been discovered. However, most real-world graphs, such as social networks and biological networks, are non-planar. To analyze and visualize such real-world networks, it is necessary to solve fundamental mathematical and algorithmic research questions on sparse non-planar graphs, called beyond planar graphs.This book is based on the National Institute of Informatics (NII) Shonan Meeting on algorithmics on beyond planar graphs held in Japan in November, 2016. The book consists of 13 chapters that represent recent advances in various areas of beyond planar graph research. The main aims 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 r
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International Project Analysis and Financingwing community, other properties of .-quasi-planar graphs have also been investigated. In this chapter, we survey the literature on .-quasi-planar graphs. Specifically, we mention the progress made toward determining their maximal size, their relationships to other graph classes and a couple of related algorithmic questions.
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The Future of Universal Jurisdictionf edges, it is NP-hard to recognize them (both in general and in the fixed rotation system setting), while polynomial-time recognition and drawing algorithms are known only for special variants of them. In this chapter, we review known combinatorial and algorithmic results on fan-planar graphs and we identify several open problems in the field.
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tal research questions and new research directions.Fosters cThis book is the first general and extensive review on the algorithmics and mathematical results of beyond planar graphs. Most real-world data sets are relational and can be modelled as graphs consisting of vertices and edges. Planar graphs
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https://doi.org/10.1007/978-3-030-96390-3 has at most one crossing. The 1-plane graphs have two forbidden subgraphs to admit a straight-line drawing. We review a linear time algorithm for constructing a straight-line drawing of 1-plane graphs. Finally, we conclude with reviews on recent related results.
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https://doi.org/10.1007/978-3-540-46278-1/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.
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Deryck Beyleveld,Shaun D. Pattinson 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.
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