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On extremal sizes of locally k-tree graphs

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Publication:3073497
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DOI10.1007/s10587-010-0037-zzbMath1224.05246OpenAlexW2138854387WikidataQ62043619 ScholiaQ62043619MaRDI QIDQ3073497

Elżbieta Sidorowicz, Piotr Borowiecki, Mieczysław Borowiecki, Zdzisław Skupień

Publication date: 11 February 2011

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/38028


zbMATH Keywords

\(k\)-treeextremal problemlocal propertylocally tree


Mathematics Subject Classification ID

Trees (05C05) Extremal problems in graph theory (05C35)


Related Items (2)

Graphs \(G\) in which \(G-N[v\) has a prescribed property for each vertex \(v\)] ⋮ Lower bounds for locally highly connected graphs



Cites Work

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  • Trahtenbrot-Zykov problem and NP-completeness
  • Graphs with prescribed local connectivities
  • \(N_ 2\)-locally disconnected graphs
  • Dense graphs with cycle neighborhoods
  • Locally tree-like graphs
  • Sufficient conditions for edge-locally connected and $n$-connected graphs
  • Algorithmic Aspects of Vertex Elimination on Graphs
  • A polynomial time algorithm recognizing link trees
  • Locally path-like graphs
  • On graphs with a local hereditary property


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