Citation notice #6918 · 2026-07-11 03:19:18.565186+00:00
Ultrametric Graphons and Hierarchical Community Networks: Spectral Theory and Applications
cites 2017 , journal =, which carries a correction notice dated 2020-02-28. One-hop deterministic notice: the citation edge exists in the Pith bibliography graph; no model judged whether the citation was load-bearing.
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01Evidence
Raw extraction · citation context · bibliography index 21
Understanding the limits of detectability is of both theoretical and practical importance, as it determines the regime in which algorithms can be expected to recover the underlying community structure [8, 9, 17]. Random walks on graphs are of great use in different areas of science. From measuring centrality in networks [18-20] to diffusive and spreading processes [21], they are a fundamental tool for analysis. Their behaviour is deeply influenced by the underlying network structure, in particular, by the presence of community organization at multiple scales. On the other hand, a rigorous graphon-theoretic framework that captures multi-scale hierarchical structure and its spectral consequences for dynamical processes has not been fully developed.
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Understanding the limits of detectability is of both theoretical and practical importance, as it determines the regime in which algorithms can be expected to recover the underlying community structure [8, 9, 17]. Random walks on graphs are of great use in different areas of science. From measuring centrality in networks [18-20] to diffusive and spreading processes [21], they are a fundamental tool for analysis. Their behaviour is deeply influenced by the underlying network structure, in particular, by the presence of community organization at multiple scales. On the other hand, a rigorous graphon-theoretic framework that captures multi-scale hierarchical structure and its spectral consequences for dynamical processes has not been fully developed
02Event
- Type
- Correction
- Source
- Crossref
- Original DOI
- 10.1016/j.physrep.2017.07.007
- Notice DOI
- 10.1016/j.physrep.2020.02.005
- Date
- 2020-02-28
- Title
- Second corrigendum to “Random walks and diffusion on networks” [Phys. Rep. 716–717 (2017) 1–58]
- Reasons
- ['Erratum']
- Work
- 2017 , journal = (2017)
03Dispute this notice
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