Differential algebra of cubic planar graphs

Roger Casals*, Emmy Murphy

*Corresponding author for this work

Research output: Contribution to journalArticle

Abstract

In this article we associate a combinatorial differential graded algebra to a cubic planar graph G. This algebra is defined combinatorially by counting binary sequences, which we introduce, and several explicit computations are provided. In addition, in the appendix by K. Sackel the Fq-rational points of its graded augmentation variety are shown to coincide with (q+1)-colorings of the dual graph.

Original languageEnglish (US)
Pages (from-to)401-446
Number of pages46
JournalAdvances in Mathematics
Volume338
DOIs
StatePublished - Nov 7 2018

Keywords

  • Binary sequence
  • Chromatic polynomial
  • Cubic planar graph
  • Differential algebra
  • Legendrian surface

ASJC Scopus subject areas

  • Mathematics(all)

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