An Algebraic Characterization of Projective-Planar Graphs

Lowell Abrams, Dan Slilaty

Research output: Contribution to journalArticlepeer-review

Abstract

We give a detailed algebraic characterization of when a graph G can be imbedded in the projective plane. The characterization is in terms of the existence of a dual graph G∗ on the same edge set as G which satisfies algebraic conditions inspired by homology groups and intersection products in homology groups.

Original languageAmerican English
JournalJournal of Graph Theory
Volume42
StatePublished - Jan 1 2003

Disciplines

  • Applied Mathematics
  • Applied Statistics
  • Mathematics
  • Physical Sciences and Mathematics
  • Statistics and Probability

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