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An enhancement of Nash-Williams' theorem on edge arboricity of graphs

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Publication:1750785
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DOI10.17377/SEMI.2017.14.113zbMath1391.05206MaRDI QIDQ1750785

Alekseĭ Nikolaevich Glebov

Publication date: 23 May 2018

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)


zbMATH Keywords

treemultigraphgraphdecompositionforestarboricitycover index


Mathematics Subject Classification ID

Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70)





Cites Work

  • Decomposition of sparse graphs into forests: the nine dragon tree conjecture for \(k \leq 2\)
  • Decomposing a graph into forests: the nine dragon tree conjecture is true
  • Decomposing a graph into forests
  • A short proof of Nash-Williams' theorem for the arboricity of a graph
  • Decompositions of graphs into trees, forests, and regular subgraphs
  • Decomposition of Sparse Graphs into Forests and a Graph with Bounded Degree
  • NASH‐WILLIAMS’ THEOREM ON DECOMPOSING GRAPHS INTO FORESTS
  • On the Problem of Decomposing a Graph into n Connected Factors
  • Edge-Disjoint Spanning Trees of Finite Graphs
  • On the chromatic index and the cover index of a multigraph
  • Decomposition of Finite Graphs Into Forests




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