Book embedding of locally planar graphs on orientable surfaces

Atsuhiro Nakamoto, Takayuki Nozawa

Abstract

A book embedding of a graph G is an embedding of vertices of G along the spine of a book, and edges of G on the pages so that no two edges on the same page intersect. Malitz (1994) proved that any graph on the orientable surface Sg of genus g has a book embedding with O(g) pages. In this paper, we prove that every locally planar graph on Sg (i.e., one with high representativity) has a book embedding with seven pages.

Original languageEnglish
Pages (from-to)2672-2679
Number of pages8
JournalDiscrete Mathematics
Volume339
Issue number11
DOIs
StatePublished - 2016 Nov 6

Keywords

  • Book embedding
  • Locally planar graph
  • Pagenumber
  • Representativity
  • Surface

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Theoretical Computer Science

Cite this

Book embedding of locally planar graphs on orientable surfaces. / Nakamoto, Atsuhiro; Nozawa, Takayuki.

In: Discrete Mathematics, Vol. 339, No. 11, 06.11.2016, p. 2672-2679.

Research output: Contribution to journalArticle

Nakamoto, Atsuhiro; Nozawa, Takayuki / Book embedding of locally planar graphs on orientable surfaces.

In: Discrete Mathematics, Vol. 339, No. 11, 06.11.2016, p. 2672-2679.

Research output: Contribution to journalArticle

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