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The convergence of the exploration process for critical percolation on the \(k\)-out graph

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Publication:888448
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zbMath1326.05144MaRDI QIDQ888448

Yosuke Ota

Publication date: 30 October 2015

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1437137614


zbMATH Keywords

random graphcritical percolation\(k\)-out graph


Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Interacting random processes; statistical mechanics type models; percolation theory (60K35)





Cites Work

  • Brownian excursions, critical random graphs and the multiplicative coalescent
  • Critical percolation on random regular graphs
  • The Evolution of Random Graphs
  • Component behavior near the critical point of the random graph process
  • The Structure of a Random Graph at the Point of the Phase Transition
  • Slow emergence of the giant component in the growing m‐out graph
  • Collective dynamics of ‘small-world’ networks




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