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Supereulerian graphs and the Petersen graph

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Publication:5920288
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DOI10.1007/s10114-014-2272-yzbMath1283.05156OpenAlexW1969402681MaRDI QIDQ5920288

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Publication date: 18 March 2014

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-014-2272-y


zbMATH Keywords

contractionreductionPetersen graphsupereulerian graphsedge-cut


Mathematics Subject Classification ID

Paths and cycles (05C38) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Connectivity (05C40) Eulerian and Hamiltonian graphs (05C45)


Related Items

Fan-type conditions for spanning Eulerian subgraphs ⋮ Snarks, hypohamiltonian graphs and non-supereulerian graphs ⋮ Lai's conditions for spanning and dominating closed trails ⋮ On 3-edge-connected supereulerian graphs in graph family \(C(l,k)\)



Cites Work

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  • Graphs without spanning closed trails
  • A note on graphs spanned by Eulerian graphs
  • On circuits and pancyclic line graphs
  • A reduction method to find spanning Eulerian subgraphs
  • Supereulerian graphs: A survey
  • The spanning subgraphs of eulerian graphs
  • A Note on Sub-Eulerian Graphs
  • Collapsible graphs and matchings
  • Eulerian subgraphs in 3‐edge‐connected graphs and Hamiltonian line graphs
  • Supereulerian graphs and the Petersen graph
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