Student or educator? Sign up with your school email and get 6 months of Pro free.
Cited by 311

The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.

Attack vulnerability of scale-free networks due to cascading breakdown

Zhao, Liang, Park, Kwangho, Lai, Ying-Cheng·2004·Physical Review E

Abstract

The possibility that a complex network can be brought down by attack on a single or a very few nodes through the process of cascading failures is of significant concern. Here we investigate a recent model for cascading failures in complex networks and uncover a phase-transition phenomenon in terms of the key parameter characterizing the node capacity. For parameter value below the phase-transition point, cascading failures can cause the network to disintegrate almost entirely. We obtain a theoretical estimate for the phase-transition point and provide numerical support.

Overview

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Integrity signals

Registry

Crossref · 10.1103/physreve.70.035101

Cites

3 of 3 references verified0 citation errors · 0 not checkable

Statistics

Verification

Claims the paper makes

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

The self-check needs the paper’s full text.

Citations

Cites

Show all 3 references

Cited by

See all 311

Metadata

Authors
Zhao, L., Park, K., & Lai, Y.-C.
Venue
Physical Review E
Published
2004-09-03
Volume
70
Issue
3
Pages
035101-035101
ISSN
  • 1539-3755 (ISSN-L)
  • 1550-2376
OpenAlex
W2077192047
Cited by
311
References
3
FWCI
7.05
Type
journal article
Language
en
Open access
closed

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review

How to cite

Cite CoChat for the checks on this page, and the paper for its own findings.

This page
CoChat. (2026). Citation check: Attack vulnerability of scale-free networks due to cascading breakdown. https://app.cochat.ai/papers/10.1103/physreve.70.035101
The paper
Zhao, L., Park, K., & Lai, Y.-C. (2004). Attack vulnerability of scale-free networks due to cascading breakdown. Physical Review E. https://doi.org/10.1103/physreve.70.035101

Data sources

Bibliographic data: Semantic Scholar, OpenAlex, Crossref.

Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.