User:Solstag/Trust transitivity in social networks

These are a comments on a paper by my friend Tiago P. Peixoto, the full article can be downloaded from arXiv.

This is not a review, but a few notes I want to share with him. Though it clearly deserves one.

Style and typos

 * Page 1, first paragraph
 * "We then apply the concepts introduced to investigate in the detail the PGP web of trust, which is possibly the best “real” example of a trust propagation system, which is also completely accessible for investigation."

This reads awkwardly because of a misused "the" and a doubly unnecessary double "which". I'd suggest:
 * "We then apply the concepts introduced to investigate in the detail the PGP web of trust, which is possibly the best “real” example of a trust propagation system, which is also completely accessible for investigation."

This page has three different uses for the letter $$w$$: as weight, as a different weigh and as a vertex. It would definitely increase readability if they were different letters.
 * Page 2, general

Perhaps Imothep should be spelled Imhotep? There is no reference to Imothep in the English or German Wikipedias.
 * Page 2, Fig 1.


 * Page 2, zeroth paragraph
 * in $$\exp\{ \sum_{ \{e_i\} }{ \ln c_{e_i} } \}$$

The expression $$\ln c_{e_i}$$ should be $$w_{e_i}$$.

The $$s$$ in all variants of $$\rho_s$$ is missing, from the beginning of this paragraph down to Equation 13. With all the different distributions named $$\rho$$, the missing $$s$$ can be a major source of confusion.
 * Page 4, second paragraph

$$\rho_c(s)$$ should be $$\rho_c(c)$$.
 * Page 5, equation 19