Publication at Faculty of Mathematics and Physics |
2017
Abstract
We prove that, in several settings, a graph has exponentially many nowhere-zero flows. Our results may be seen as a counting alternative to the well-known proofs of existence of $\ZZ_3$-, $\ZZ_4$-, and $\ZZ_6$-flows.
In the dual setting, proving exponential number of 3-colorings of planar triangle-free graphs is a related open question due to Thomassen.