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On the length of the shortest path in a sparse Barak–Erdős graph

Author

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  • Mallein, Bastien
  • Tesemnikov, Pavel

Abstract

We consider an inhomogeneous version of the Barak–Erdős graph, i.e. a directed Erdős–Rényi random graph on {1,…,n} with no loop. Given f a Riemann-integrable non-negative function on [0,1]2 and γ>0, we define G(n,f,γ) as the random graph with vertex set {1,…,n} such that for each i

Suggested Citation

  • Mallein, Bastien & Tesemnikov, Pavel, 2022. "On the length of the shortest path in a sparse Barak–Erdős graph," Statistics & Probability Letters, Elsevier, vol. 190(C).
  • Handle: RePEc:eee:stapro:v:190:y:2022:i:c:s0167715222001651
    DOI: 10.1016/j.spl.2022.109634
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