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Sharpness in the k-Nearest-Neighbours Random Geometric Graph Model

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Publication:3167331
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DOI10.1239/aap/1346955257zbMath1278.60142arXiv1101.3083OpenAlexW2012399955MaRDI QIDQ3167331

Mark Walters, Victor Falgas-Ravry

Publication date: 2 November 2012

Published in: Advances in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.3083

zbMATH Keywords

connectivityrandom geometric graphsharp transition


Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43)


Related Items

Bootstrap percolation in random geometric graphs, Small components in \(k\)-nearest neighbour graphs, Randomized near-neighbor graphs, giant components and applications in data science, Speed and concentration of the covering time for structured coupon collectors



Cites Work

  • Unnamed Item
  • Small components in \(k\)-nearest neighbour graphs
  • Highly connected random geometric graphs
  • The longest edge of the random minimal spanning tree
  • A clustering procedure based on the comparison between the \(k\) nearest neighbors graph and the minimal spanning tree.
  • A critical constant for the k nearest-neighbour model
  • Random Plane Networks
  • Random Geometric Graphs
  • Connectivity of random k-nearest-neighbour graphs
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