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

Manifest

-Planar Graphs,by the well-known Crossing Lemma. In this chapter, we focus on .-planar graphs, with ., and review the known combinatorial and algorithmic results from the literature. We also identify several interesting open problems in the field.

Congregate

Beyond Clustered Planar Graphs,o popular models for hybrid representations of clustered networks, namely NodeTrix and Intersection-Link representations, which combine different drawing paradigms for the inter-cluster and the intra-cluster relationships.

incredulity

Book 2020 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

Crater

commune

frugal

Supplying International Public Goods,o popular models for hybrid representations of clustered networks, namely NodeTrix and Intersection-Link representations, which combine different drawing paradigms for the inter-cluster and the intra-cluster relationships.

Salivary-Gland

Beyond Planar Graphs: Introduction,idden crossing patterns. In this chapter, we introduce various types of beyond planar graphs and briefly review known results on the edge density, computational complexity, and algorithms for testing beyond planar graphs.

围巾

Quantitative Restrictions on Crossing Patterns,clude .-planar graph, .-quasiplanar graphs, .-gap-planar graphs, and .-locally planar graphs. The chapter reviews typical proof techniques, upper and lower bounds on the number of edges in these classes, as well as recent results on containment relations between these classes, and concludes with a c

折磨

Quasi-planar Graphs,planar graphs and several other classes of beyond-planar graphs. The research of .-quasi-planar graphs began in the early 1990s and has focused mainly on upper-bounding their size which is conjectured to be linear. Recently, with the emergence of interest in beyond-planar graphs within the Graph Dra

无能力之人

1-Planar Graphs,rded as the simplest town maps. Now, we consider a town having some pedestrian bridges, which cannot be realized by a plane graph. Its underlying graph can actually be regarded as a 1-. graph. The notion of 1-plane and 1-. graphs was first introduced by Ringel in connection with the problem of simul