How do individuals' influence in a large social network change? Social scientists have
difficulty answering this question because measuring influence requires frequent …

The random walk is fundamental to modeling dynamic processes on networks. Metrics
based on the random walk have been used in many applications from image processing to …

For comparison purpose, we can standardize the degree by dividing by the maximum
possible value n− 1. Degree is simply the number of nodes at distance one. Though simple …

This study compares six metrics commonly used to identify influential players in two of
Canada's largest political Twitter communities based on the users, and ranking order of …

Weight matrices, such as used in network autocorrelation models, are useful to investigate
social influence processes. The objective of this paper is to investigate a key topic that has …

In this paper, we use graph theory to explore concepts of influence in socialized groups.
When analyzing social networks, centrality indicators make it possible to assess the power …

Information propagation in online social networks is facilitated by two types of influence-
endogenous (peer) influence that acts between users of the social network and exogenous …

Centrality of a node measures its relative importance within a network. There are a number
of applications of centrality, including inferring the influence or success of an individual in a …

We study network centrality based on dynamic influence propagation models in social
networks. To illustrate our integrated mathematical-algorithmic approach for understanding …

Recent international events surrounding contentious political environments have uncovered
a new utility for social media. Communities now use resources such as Facebook and …