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Exponentially Many Nowhere-Zero Z_3, Z_4 and Z_6-Flows

Publikace na Matematicko-fyzikální fakulta |
2019

Tento text není v aktuálním jazyce dostupný. Zobrazuje se verze "en".Abstrakt

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.