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An improved upper bound on the linear 2-arboricity of planar graphs

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Publication:501025
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DOI10.1016/j.disc.2015.07.003zbMath1322.05045OpenAlexW1640262016MaRDI QIDQ501025

Yi Qiao Wang

Publication date: 8 October 2015

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

Full work available at URL: https://doi.org/10.1016/j.disc.2015.07.003


zbMATH Keywords

planar graphmaximum degreelinear 2-arboricity


Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Planar graphs; geometric and topological aspects of graph theory (05C10)


Related Items

The linear 2-arboricity of sparse graphs ⋮ Linear 2-arboricity of toroidal graphs ⋮ A note on the linear 2-arboricity of planar graphs ⋮ On linear 2-arboricity of certain graphs



Cites Work

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  • On linear k-arboricity
  • Planar graphs without 5-cycles or without 6-cycles
  • Some problems about linear arboricity
  • Algorithmic aspects of linear \(k\)-arboricity
  • Two-coloring the edges of a cubic graph such that each monochromatic component is a path of length at most 5
  • On the linear \(k\)-arboricity of cubic graphs
  • The linear 2-arboricity of planar graphs
  • Linear \(k\)-arboricities on trees
  • On the linear \(k\)-arboricity of \(K_n\) and \(K_{n,n}\)
  • On the total coloring of planar graphs.
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