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Graphs whose every independent set has a common neighbour

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Publication:1158445
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DOI10.1016/0012-365X(81)90221-1zbMath0473.05054OpenAlexW2029364854MaRDI QIDQ1158445

János Pach

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0012-365x(81)90221-1


zbMATH Keywords

triangle-free graphsindependent vertices


Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Structural characterization of families of graphs (05C75)


Related Items (9)

Triangle-free graphs and forbidden subgraphs ⋮ On existentially complete triangle-free graphs ⋮ Cycle-maximal triangle-free graphs ⋮ An analogue of Hajós’ Theorem for the circular chromatic number ⋮ Triangle-free graphs whose independence number equals the degree ⋮ Triply Existentially Complete Triangle‐Free Graphs ⋮ Graphs of odd girth 7 with large degree ⋮ Describing hereditary properties by forbidden circular orderings ⋮ Convex-round graphs are circular-perfect



Cites Work

  • Unnamed Item
  • Graph Theory and Probability. II
  • On the construction of certain graphs
  • On Graphs that do not Contain a Thomsen Graph
  • An extremal problem in graph theory




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