Collective Dynamics of ‘Small-World’ Networks
Nature, 1998 · paper · Computer science
The supplied text begins mid-way through an unrelated paper on asteroid impact simulations, so the article's own content is not shown. Its title indicates it studies the collective dynamics of small-world networks.
Checked: PDF from worrydream.com, fetched 5 Oct 2026. Page numbers are those of that PDF.
1 finding
Substance Table 1 prints C_random = "0.005" for the Power grid, but the paper's own estimate C_random ~ k/n with the legend's "n = 4,941, k = 2.67" gives about 0.00054, an order of magnitude smaller.
- p. 2 Table 1, Power grid row, C_random column
0.005
- p. 2 Table 1 legend
Power grid: n = 4,941, k = 2.67
- p. 1 Main text, limiting cases
C ≈ Crandom ~ k/n ≪ 1 as p → 1
Only the authors can say what is right here.
Judge's note: Page 2 image: Table 1 Power grid row C_random = 0.005; legend gives Power grid n = 4,941, k = 2.67 and says comparisons are with random graphs of the same n and k. The page 1 text (extract line 155) states C ≈ C_random ~ k/n ≪ 1 as p → 1. The other two rows fit k/n at the printed precision (actors 0.00027, C. elegans 0.05). For the power grid, k/n = 0.00054, so 0.005 is about 9.3 times larger. This looks like a dropped zero, but only the authors can say which value they computed. The small-world claim C ≫ C_random (0.080 vs either value) is unaffected.
Second check: another model agreed
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2 minor (typos and the like; most checked by the judge only)
Typo Ref. 16 reads "Bollabás, B. Random Graphs (Academic, London, 1985)." and the author's surname appears to be misspelled (Bollobás).
- p. 3 Reference 16
Bollabás, B. Random Graphs (Academic, London, 1985).
Only the authors can say what is right here.
Judge's note: Rests on outside knowledge: the author of Random Graphs (Academic Press, 1985) is Béla Bollobás. The page 3 image shows 'Bollabás' in ref. 16, so this is not an extraction artefact.
Second check: none (judge only)
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Typo Ref. 25 lists the editors as "(eds Davido, Y., Schwefel, H.-P. & Männer, R.)" and the first editor's surname appears truncated (Davidor).
- p. 3 Reference 25
(eds Davido, Y., Schwefel, H.-P. & Männer, R.)
- p. 3 Reference 25
(eds Davido, Y.,
Only the authors can say what is right here.
Judge's note: Rests on outside knowledge: the first editor of Parallel Problem Solving from Nature III (LNCS 866) is Y. Davidor. The page 3 image and crop show 'Davido, Y.' in ref. 25, so this is not an extraction artefact.
Second check: none (judge only)