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 language | English (US) |
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Pages (from-to) | 401-446 |
Number of pages | 46 |
Journal | Advances in Mathematics |
Volume | 338 |
DOIs | |
State | Published - Nov 7 2018 |
All Science Journal Classification (ASJC) codes
- General Mathematics
Keywords
- Binary sequence
- Chromatic polynomial
- Cubic planar graph
- Differential algebra
- Legendrian surface