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

精致

Algorithms for 1-Planar Graphs,ete. This chapter reviews the algorithmic results on 1-planar graphs. We first review a linear time algorithm for testing maximal 1-planarity of a graph if a . (i.e., the circular ordering of edges for each vertex) is given. A graph is . if the addition of an edge destroys 1-planarity. Next, we sket

Nonthreatening

Euthyroid

-Planar Graphs,ct graph is called .-. if it is isomorphic to a .-planar topological graph, i.e., if it can be drawn on the plane with at most . crossings per edge. While planar and 1-planar graphs have been extensively studied in the literature and their structure has been well understood, this is not the case for

STANT

瘙痒

Right Angle Crossing Drawings of Graphs,ivated by cognitive experiments showing that crossings with large angles do not affect too much the readability of a graph layout. Since then, the RAC drawing convention has been widely studied, both from the combinatorial and from the algorithmic point of view. RAC drawings can be also regarded as

mitral-valve

Tracheotomy

Crossing Layout in Non-planar Graph Drawings, abundant in network visualization applications. Therefore, graph layout techniques are needed that optimize readability and comprehensibility of graph drawings in the presence of edge crossings. This chapter deals with aesthetic ideas for improving the appearance of crossings and presents alternati

faucet

Beyond Clustered Planar Graphs,c affinities among nodes. Constructing effective visualizations for such networks is a crucial task that poses several practical and theoretical challenges. The standard theoretical model for readable representations of clustered graphs is the one, of c-planarity, introduced in the 90s and still a c

CURT

通情达理

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.