The emergence of a giant component in one-dimensional inhomogeneous networks with long-range effects
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Publication:6057287
DOI10.1007/978-3-031-32296-9_2MaRDI QIDQ6057287
Peter Gracar, Lukas Lüchtrath, Christian Mönch
Publication date: 4 October 2023
Published in: Lecture Notes in Computer Science (Search for Journal in Brave)
percolationphase transitionBoolean modelpreferential attachmentlong-range effectsspatial random graphs
Small world graphs, complex networks (graph-theoretic aspects) (05C82) Random graphs (graph-theoretic aspects) (05C80) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Density (toughness, etc.) (05C42)
Cites Work
- Unnamed Item
- Connectivity of soft random geometric graphs
- Scale-free percolation
- On the largest component of a hyperbolic model of complex networks
- From heavy-tailed Boolean models to scale-free Gilbert graphs
- Subcritical regimes in the Poisson Boolean model of continuum percolation
- On continuum percolation
- One dimensional \(1/| j-i| ^ s\) percolation models: The existence of a transition for s\(\leq 2\)
- Correlation inequalities on some partially ordered sets
- The random connection model in high dimensions
- Geometric inhomogeneous random graphs
- Discontinuity of the percolation density in one dimensional \(1/| x- y| ^ 2\) percolation models
- Penalising transmission to hubs in scale-free spatial random graphs
- Recurrence versus transience for weight-dependent random connection models
- The age-dependent random connection model
- Explosion in weighted hyperbolic random graphs and geometric inhomogeneous random graphs
- Scale-free percolation in continuum space
- Chemical distance in geometric random graphs with long edges and scale-free degree distribution
- Lectures on Complex Networks
- Random Plane Networks
- Percolation phase transition in weight-dependent random connection models
- Sampling Geometric Inhomogeneous Random Graphs in Linear Time
- Renormalization of crossing probabilities in the planar random-cluster model
- Lectures on the Poisson Process
- Ultra-small scale-free geometric networks
- Scaling of the clustering function in spatial inhomogeneous random graphs
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