Quasi-planar Graphs

Eyal Ackerman

doi:10.1007/978-981-15-6533-5_3

Quasi-planar Graphs

Eyal Ackerman

Faculty of Natural Sciences

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

A graph is k-quasi-planar if it can be drawn in the plane such that no k of its edges are pairwise crossing. Thus, the class of k-quasi-planar graphs contains all planar graphs and several other classes of beyond-planar graphs. The research of k-quasi-planar graphs began in the early 1990s and has focused mainly on upperbounding their size which is conjectured to be linear. Recently, with the emergence of interest in beyond-planar graphs within the Graph Drawing community, other properties of k-quasi-planar graphs have also been investigated. In this chapter, we survey the literature on k-quasi-planar graphs. Specifically, we mention the progress made toward determining theirmaximal size, their relationships to other graph classes and a couple of related algorithmic questions.

Original language	English
Title of host publication	Beyond Planar Graphs
Subtitle of host publication	Communications of NII Shonan Meetings
Publisher	Springer Singapore
Pages	31-45
Number of pages	15
ISBN (Electronic)	9789811565335
ISBN (Print)	9789811565328
DOIs	https://doi.org/10.1007/978-981-15-6533-5_3
State	Published - 1 Jan 2020

Bibliographical note

Publisher Copyright:
© Springer Nature Singapore Pte Ltd. 2020.

ASJC Scopus subject areas

General Computer Science
General Mathematics

Access to Document

10.1007/978-981-15-6533-5_3

Cite this

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Quasi-planar Graphs

Abstract

Bibliographical note

ASJC Scopus subject areas

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