2 papers
math.CO2022
Nowhere-zero 3-flows in nilpotently vertex-transitive graphs
Junyang Zhang, Sanming Zhou
We prove that every regular graph of valency at least four whose automorphism group contains a nilpotent subgroup acting transitively on the vertex set admits a nowhere-zero 3-flow…
math.CO2022
Nowhere-zero 3-flows in Cayley graphs on supersolvable groups
Junyang Zhang, Sanming Zhou
Tutte's 3-flow conjecture asserts that every -edge-connected graph admits a nowhere-zero -flow. We prove that this conjecture is true for every Cayley graph of valency at lea…