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A note on extremal digraphs containing at most \(t\) walks of length \(k\) with the same endpoints

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Publication:2115146
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DOI10.1007/s00373-021-02449-9zbMath1484.05105arXiv2106.00212OpenAlexW4221041754MaRDI QIDQ2115146

Zhenhua Lyu

Publication date: 15 March 2022

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

Full work available at URL: https://arxiv.org/abs/2106.00212


zbMATH Keywords

digraphwalkTurán problem


Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Enumeration in graph theory (05C30) Directed graphs (digraphs), tournaments (05C20)





Cites Work

  • Digraphs that have at most one walk of a given length with the same endpoints
  • On the 0-1 matrices 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
  • 0-1 matrices whose squares have bounded entries
  • Extremal problems for directed graphs
  • 0–1 matrices whose k-th powers have bounded entries
  • Unnamed Item
  • Unnamed Item
  • Unnamed Item
  • Unnamed Item




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