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Matroids determine the embeddability of graphs in surfaces

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

The embeddability of a graph in a given surface is determined entirely by the polygon matroid of the graph. That is also true for cellular embeddability in nonorientable surfaces but not in orientable surfaces.

Original languageEnglish
Pages (from-to)1131-1135
Number of pages5
JournalProceedings of the American Mathematical Society
Volume106
Issue number4
DOIs
StatePublished - Aug 1989

Keywords

  • Crosscap number
  • Crosscap range
  • Cycle matroid
  • Demigenus
  • Genu
  • Genus range
  • Graph embedding
  • Polygon matroid

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