An annotated bibliography on 1-planarity

Stephen G Kobourov, Giuseppe Liotta, Fabrizio Montecchiani

Research output: Contribution to journalReview article

40 Scopus citations

Abstract

The notion of 1-planarity is among the most natural and most studied generalizations of graph planarity. A graph is 1-planar if it has an embedding where each edge is crossed by at most another edge. The study of 1-planar graphs dates back to more than fifty years ago and, recently, it has driven increasing attention in the areas of graph theory, graph algorithms, graph drawing, and computational geometry. This annotated bibliography aims to provide a guiding reference to researchers who want to have an overview of the large body of literature about 1-planar graphs. It reviews the current literature covering various research streams about 1-planarity, such as characterization and recognition, combinatorial properties, and geometric representations. As an additional contribution, we offer a list of open problems on 1-planar graphs.

Original languageEnglish (US)
Pages (from-to)49-67
Number of pages19
JournalComputer Science Review
Volume25
DOIs
StatePublished - Aug 1 2017

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Keywords

  • 1-planarity
  • Annotated bibliography
  • Beyond planar graphs

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

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