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Feld's friendship paradox states that "your friends have more friends than you, on average." This paradox arises because extremely popular people, despite being rare, are overrepresented when averaging over friends. Using a sample of the…

Social and Information Networks · Computer Science 2013-04-15 Nathan O. Hodas , Farshad Kooti , Kristina Lerman

The friendship paradox -- the observation that, on average, one's friends have more friends than oneself -- admits two common formulations depending on whether averaging is performed over edges or over nodes. These two definitions, the…

Physics and Society · Physics 2026-04-22 Sang Hoon Lee

The friendship paradox states that in a social network, egos tend to have lower degree than their alters, or, "your friends have more friends than you do". Most research has focused on the friendship paradox and its implications for…

Social and Information Networks · Computer Science 2017-03-21 James P. Bagrow , Christopher M. Danforth , Lewis Mitchell

In numerous physical models on networks, dynamics are based on interactions that exclusively involve properties of a node's nearest neighbors. However, a node's local view of its neighbors may systematically bias perceptions of network…

Social and Information Networks · Computer Science 2016-12-28 Xin-Zeng Wu , Allon G. Percus , Kristina Lerman

Most individuals in social networks experience a so-called Friendship Paradox: they are less popular than their friends on average. This effect may explain recent findings that widespread social network media use leads to reduced happiness.…

Social and Information Networks · Computer Science 2016-02-09 Johan Bollen , Bruno Gonçalves , Ingrid van de Leemput , Guangchen Ruan

Our friends have more friends than we do. That is the basis of the friendship paradox. In mathematical terms, the mean number of friends of friends is higher than the mean number of friends. In the present study, we analyzed the…

Social and Information Networks · Computer Science 2014-07-16 Marcos Amaku , Rafael I. Cipullo , José H. H. Grisi-Filho , Fernando S. Marques , Raul Ossada

How popular a topic or an opinion appears to be in a network can be very different from its actual popularity. For example, in an online network of a social media platform, the number of people who mention a topic in their posts---i.e., its…

Social and Information Networks · Computer Science 2020-03-25 Nazanin Alipourfard , Buddhika Nettasinghe , Andres Abeliuk , Vikram Krishnamurthy , Kristina Lerman

We consider the generalised friendship paradox, focussing on the number of triangles at a vertex as the relevant attribute. We show that, contrary to the setting where the attribute is the number of edges at a vertex or the number of wedges…

Most people consider their friends to be more positive than themselves, exhibiting a Sentiment Paradox. Psychology research attributes this paradox to human cognition bias. With the goal to understand this phenomenon, we study sentiment…

Social and Information Networks · Computer Science 2020-05-05 Xinyi Zhou , Shengmin Jin , Reza Zafarani

Homophily -- the tendency of nodes to connect to others of the same type -- is a central issue in the study of networks. Here we take a local view of homophily, defining notions of first-order homophily of a node (its individual tendency to…

Social and Information Networks · Computer Science 2021-07-19 Anna Evtushenko , Jon Kleinberg

The friendship paradox index is a network summary statistic used to quantify the friendship paradox, which describes the tendency for an individual's friends to have more friends than the individual. In this paper, we utilize Markov's…

Statistics Theory · Mathematics 2026-02-11 Mingao Yuan

The friendship paradox is revisited by considering both local and global averages of friends. How the economics of attention affects the recruitment of friends is examined. Statistical implications of varying individual attentions are…

Social and Information Networks · Computer Science 2014-12-23 Subhash Kak

Graph Neural Networks (GNNs) often perform better for high-degree nodes than low-degree nodes on node classification tasks. This degree bias can reinforce social marginalization by, e.g., privileging celebrities and other high-degree actors…

Machine Learning · Computer Science 2024-11-04 Arjun Subramonian , Jian Kang , Yizhou Sun

Networks describe a range of social, biological and technical phenomena. An important property of a network is its degree correlation or assortativity, describing how nodes in the network associate based on their number of connections.…

Social and Information Networks · Computer Science 2017-02-06 David N Fisher , Matthew J Silk , Daniel W Franks

Understanding mechanisms driving link formation in dynamic social networks is a long-standing problem that has implications to understanding social structure as well as link prediction and recommendation. Social networks exhibit a high…

Social and Information Networks · Computer Science 2019-03-06 Makan Arastuie , Kevin S. Xu

Social behaviors are often contagious, spreading through a population as individuals imitate the decisions and choices of others. A variety of global phenomena, from innovation adoption to the emergence of social norms and political…

Social and Information Networks · Computer Science 2016-04-27 Kristina Lerman , Xiaoran Yan , Xin-Zeng Wu

We consider SIS contagion processes over networks where, a classical assumption is that individuals' decisions to adopt a contagion are based on their immediate neighbors. However, recent literature shows that some attributes are more…

Social and Information Networks · Computer Science 2018-10-16 Buddhika Nettasinghe , Vikram Krishnamurthy , Kristina Lerman

Network analysis has emerged as a key technique in communication studies, economics, geography, history and sociology, among others. A fundamental issue is how to identify key nodes, for which purpose a number of centrality measures have…

Social and Information Networks · Computer Science 2018-01-08 László Csató

Multivariate relations are general in various types of networks, such as biological networks, social networks, transportation networks, and academic networks. Due to the principle of ternary closures and the trend of group formation, the…

Social and Information Networks · Computer Science 2020-08-11 Jin Xu , Shuo Yu , Ke Sun , Jing Ren , Ivan Lee , Shirui Pan , Feng Xia

How are people linked in a highly connected society? Since in many networks a power-law (scale-free) node-degree distribution can be observed, power-law might be seen as a universal characteristics of networks. But this study of…

Physics and Society · Physics 2023-06-22 Matthias Scholz