Nowhere-zero 3-flows in toroidal graphs

DOI10.1016/j.jctb.2021.11.001zbMath1481.05063OpenAlexW3216378726MaRDI QIDQ2072180

Yongtang Shi, Cun-Quan Zhang, Jiaao Li, Yulai Ma, Wei Fan Wang, Zheng-Ke Miao

Publication date: 26 January 2022

Published in: Journal of Combinatorial Theory. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jctb.2021.11.001

zbMATH Keywords

toroidal graphsinteger flowTutte's 3-flow conjecture

Mathematics Subject Classification ID

Coloring of graphs and hypergraphs (05C15) Connectivity (05C40) Flows in graphs (05C21)

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
• Grötzsch's 3-color theorem and its counterparts for the torus and the projective plane
• A short list color proof of Grötzsch's theorem
• Group connectivity of 3-edge-connected chordal graphs
• Circular flows of nearly Eulerian graphs and vertex-splitting
• On the Imbedding of Linear Graphs in Surfaces
• A Contribution to the Theory of Chromatic Polynomials

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