Equivalent versions of group-connectivity theorems and conjectures

DOI10.1016/j.dam.2018.10.010zbMath1406.05055OpenAlexW2899758655MaRDI QIDQ1730259

Martin Kochol

Publication date: 11 March 2019

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.dam.2018.10.010

zbMATH Keywords

superpositionedge-connectivity\(\mathbb{Z}_3\)-connectivity\(\mathbb{Z}_3\)-flowedge-critical set

Mathematics Subject Classification ID

Connectivity (05C40)

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 triangularly connected graphs
• Group connectivity of graphs --- a nonhomogeneous analogue of nowhere-zero flow properties
• Group connectivity of 3-edge-connected chordal graphs
• Superposition and constructions of graphs without nowhere-zero \(k\)-flows
• An equivalent version of the 3-flow conjecture
• A note on nowhere-zero 3-flows and Z_3-connectivity
• Nowhere‐zero 3‐flow and ‐connectedness in graphs with four edge‐disjoint spanning trees
• A Contribution to the Theory of Chromatic Polynomials

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