@article{chayes2013mathematics,
abstract = {Dr Chayes’ talk described how, to a discrete mathematician, ‘all the world’s a graph, and all the people and domains merely vertices’. A graph is represented as a set of vertices V and a set of edges E, so that, for instance, in the World Wide Web, V is the set of pages and E the directed hyperlinks; in a social network, V is the people and E the set of relationships; and in the autonomous system Internet, V is the set of autonomous systems (such as AOL, Yahoo! and MSN) and E the set of connections. This means that mathematics can be used to study the Web (and other large graphs in the online world) in the following way: first, we can model online networks as large finite graphs; second, we can sample pieces of these graphs; third, we can understand and then control processes on these graphs; and fourth, we can develop algorithms for these graphs and apply them to improve the online experience.},
author = {Chayes, Jennifer},
doi = {10.1098/rsta.2012.0377},
eprint = {http://rsta.royalsocietypublishing.org/content/371/1987/20120377.full.pdf+html},
interhash = {3993b23ca636e9fb8497a1e918be7acf},
intrahash = {3f77f26601231ba891aa65a702b8c867},
journal = {Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences},
number = 1987,
title = {Mathematics of Web science: structure, dynamics and incentives},
url = {http://rsta.royalsocietypublishing.org/content/371/1987/20120377.abstract},
volume = 371,
year = 2013
}