How do you tell if a network is a small-world network?
Small-world networks should have some spatial structure, which is reflected by a high clustering coefficient. By contrast, random networks have no such structure and a low clustering coefficient.
Are small world networks scale free?
Abstract: Small-world networks are characterized by local clustering and shortcut ties that reduce the path-length between the clusters. Scale-free networks, on the other hand, take a skewed degree distribution.
What is small-world propensity?
To address these limitations, we introduce a novel diagnostic called the Small-World Propensity (SWP), which quantifies the extent to which a network displays small-world characteristics while accounting for variation in network density.
Is a Small World Disney?
In 1971, “it’s a small world” was recreated to become one of the Opening Day attractions at Walt Disney World Resort. Due to its immense popularity, the attraction has been replicated at many Disney theme parks around the world and is considered a Walt Disney masterpiece.
Is it’s a small world an idiom?
Meaning of Idiom ‘It’s a Small World’ This idiom’s abstract meaning is expressed better in its usage, but it essentially means that although the world seems so vast, we still meet the same people in the most unexpected places.
Which is the best definition of a small world network?
A small-world network refers to an ensemble of networks in which the mean geodesic (i.e., shortest-path) distance between nodes increases sufficiently slowly as a function of the number of nodes in the network. The term is often applied to a single network in such a family, and the term “small-world network” is also used frequently
Which is more vulnerable random networks or small world networks?
In this sense, random networks are vulnerable to random perturbations, whereas small-world networks are robust. However, small-world networks are vulnerable to targeted attack of hubs, whereas random networks cannot be targeted for catastrophic failure.
Who are the founders of the Small World Network?
The best known family of small-world networks was formulated by Duncan Watts and Steve Strogatz in a seminal 1998 paper ( Watts and Strogatz, 1998) that has helped network science become a popular medium of expression for numerous physicists, mathematicians, computer scientists, and many others.
Which is an example of the Small World effect?
In the context of a social network, this results in the small world phenomenon of strangers being linked by a short chain of acquaintances. Many empirical graphs show the small-world effect, including social networks, wikis such as Wikipedia, gene networks, and even the underlying architecture of the Internet.