Contractible edges in \(n\)-connected graphs with minimum degree greater than or equal to \([5n/4]\)
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Publication:1175546
DOI10.1007/BF01789459zbMath0758.05063MaRDI QIDQ1175546
Publication date: 25 June 1992
Published in: Graphs and Combinatorics (Search for Journal in Brave)
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Cites Work
- Unnamed Item
- Disjunkte Fragmente in kritisch n-fach zusammenhängenden Graphen
- Contractible edges in triangle-free graphs
- Contractible edges in 3-connected graphs
- Planarity and duality of finite and infinite graphs
- Nonseparating cycles inK-Connected graphs
- A Note on k-Critically n-Connected Graphs
- Eine Eigenschaft der Atome endlicher Graphen
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