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Extremal digraphs avoiding an orientation of the diamond

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Publication:2042213
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DOI10.1007/s00373-021-02324-7zbMath1469.05089OpenAlexW3162423113MaRDI QIDQ2042213

Zhenhua Lyu

Publication date: 28 July 2021

Published in: Graphs and Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00373-021-02324-7


zbMATH Keywords

digraphorientationTurán problem


Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Distance in graphs (05C12) Directed graphs (digraphs), tournaments (05C20)


Related Items (2)

Extremal digraphs avoiding distinct walks of length 3 with the same endpoints ⋮ The Turán number of directed paths and oriented cycles




Cites Work

  • Digraphs that have at most one walk of a given length with the same endpoints
  • 0-1 matrices with zero trace whose squares are 0-1 matrices
  • A Turán problem on digraphs avoiding distinct walks of a given length with the same endpoints
  • Digraphs that contain at most \(t\) distinct walks of a given length with the same endpoints
  • Extremal digraphs avoiding an orientation of \(C_4\)
  • Extremal problems for directed graphs
  • 0–1 matrices whose k-th powers have bounded entries
  • On the theory of graphs
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