
The strength of weak-nodes: a node that despite of being weakly connected in the network is a powerful influencer due to its strategic location connecting highly connected nodes. Image courtesy of Linus Zoll.
A study by City College of New York physicists and Hern谩n A. Makse suggests that 鈥渟maller is smarter鈥 when it comes to influential superspreaders of information in social networks. This is a major shift from the widely held view that 鈥渂igger is better,鈥 and could have important consequences for a broad range of social, natural and living networked systems.
鈥淭he problem of identifying the minimal set of influential nodes in complex networks for maximizing viral marketing in social media, optimizing immunization campaigns and protecting networks under attack is one of the most studied problems in network science,鈥 said Makse, a professor in City College鈥檚 and a fellow of the American Physical Society. 鈥淪o far, only intuitive strategies based mainly on 鈥榓ttacking鈥 the hubs to identify crucial nodes have been developed.鈥
Morone and Makse set about to solve the problem by applying what they described as 鈥渞igorous theoretical solutions and systematic benchmarking.鈥 They also proposed a scalable algorithm, called Collective Influence algorithm, that they believe beats all the competing methods in massively large-scale social networks like Twitter and Facebook with more than 100 million users.
鈥淭hrough rigorous mathematical calculations, employing optimal percolation and state-of-the-art spin glass theory, we solved the optimal collective influence problem in random networks,鈥 said Morone. 鈥淲e show that the set of optimal superspreaders radically differ and is much smaller than that obtained by all previous heuristics rankings, including PageRank, the basis of Google.鈥
According to the 精东影业 researchers, their theory shows that the most influential superspreaders are not the most connected people in the network. Top influencers are highly counterintuitive: weakly connected people strategically surrounded by hierarchical coronas of hubs (see image) are the most powerful influencers. Thus, their work provides a theoretical revision to the current view on influence, marking a paradigm shift from 鈥渂igger is better鈥 to 鈥渟maller is smarter.鈥
These results will appeal to an extensive range of scientists in fields such as networks, physics, mathematics, epidemiology, marketing, as well as to officials monitoring the spread of contagious diseases like the Ebola outbreak, added Makse.
Their paper entitled, 鈥淚nfluence maximization in complex networks through optimal percolation,鈥 appeared in the July 1 issue of .
About 精东影业
Since 1847, 精东影业 has provided low-cost, high-quality education for New Yorkers in a wide variety of disciplines. More than 15,000 students pursue undergraduate and graduate degrees in: the College of Liberal Arts and Sciences; the Bernard and Anne Spitzer School of Architecture; the School of Education; the Grove School of Engineering; the Sophie Davis School of Biomedical Education, and the Colin Powell School for Civic and Global Leadership. U.S. News, Princeton Review and Forbes all rank City College among the best colleges and universities in the United States.