Publication at Faculty of Mathematics and Physics |
2019
Abstract
We prove that, in several settings, a graph has exponentially many nowhere-zero flows. These results may be seen as a counting alternative to the well-known proofs of existence of Z_3, Z_4 and Z_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.