NOWHERE-ZERO -FLOWS IN TWO FAMILIES OF VERTEX-TRANSITIVE GRAPHS

DOI10.1017/s0004972722000922zbMath1520.05043OpenAlexW4295942952WikidataQ114117666 ScholiaQ114117666MaRDI QIDQ6135501

Ying Tao, Jun-Yang Zhang

Publication date: 25 August 2023

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972722000922

zbMATH Keywords

Cayley graphvertex-transitive graphinteger flownowhere-zero 3-flow

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Structural characterization of families of graphs (05C75) Flows in graphs (05C21)

Related Items (1)

Nowhere-zero 3-flows in Cayley graphs on supersolvable groups

Cites Work

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• The weak 3-flow conjecture and the weak circular flow conjecture
• Nowhere-zero 3-flows and modulo \(k\)-orientations
• Nowhere-zero 3-flows in Cayley graphs and Sylow 2-subgroups
• Nowhere-zero 3-flows in Cayley graphs on generalized dihedral group and generalized quaternion group
• Flows and generalized coloring theorems in graphs
• An equivalent version of the 3-flow conjecture
• Nowhere-zero \(3\)-flows in dihedral Cayley graphs
• Minimale \(n\)-fach kantenzusammenhängende Graphen
• Nowhere-zero 3-flows in abelian Cayley graphs
• A theorem on integer flows on cartesian products of graphs
• The validity of Tutte's 3-flow conjecture for some Cayley graphs
• Nowhere‐zero 3‐flows in products of graphs

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