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One of interesting phenomena due to topological heterogeneities in complex networks is the friendship paradox: Your friends have on average more friends than you do. Recently, this paradox has been generalized for arbitrary node attributes,…

物理与社会 · 物理学 2014-08-26 Hang-Hyun Jo , Young-Ho Eom

A heterogeneous structure of social networks induces various intriguing phenomena. One of them is the friendship paradox, which states that on average your friends have more friends than you do. Its generalization, called the generalized…

物理与社会 · 物理学 2024-08-14 Hang-Hyun Jo , Eun Lee , Young-Ho Eom

The friendship paradox states that your friends have on average more friends than you have. Does the paradox "hold" for other individual characteristics like income or happiness? To address this question, we generalize the friendship…

社会与信息网络 · 计算机科学 2014-04-11 Young-Ho Eom , Hang-Hyun Jo

The friendship paradox refers to the sociological observation that, while the people's assessment of their own popularity is typically self-aggrandizing, in reality they are less popular than their friends. The generalized friendship…

物理与社会 · 物理学 2014-10-03 Babak Fotouhi , Naghmeh Momeni , Michael G. Rabbat

The friendship paradox is the phenomenon that in social networks, people on average have fewer friends than their friends do. The generalized friendship paradox is an extension to attributes other than the number of friends. The friendship…

社会与信息网络 · 计算机科学 2016-02-12 Naghmeh Momeni , Michael Rabbat

The friendship paradox is a sociological phenomenon stating that most people have fewer friends than their friends do. The generalized friendship paradox refers to the same observation for attributes other than degree, and it has been…

社会与信息网络 · 计算机科学 2014-11-04 Naghmeh Momeni , Michael G. Rabbat

The friendship paradox is the observation that the degrees of the neighbors of a node in any network will, on average, be greater than the degree of the node itself. In common parlance, your friends have more friends than you do. In this…

社会与信息网络 · 计算机科学 2021-10-26 George T. Cantwell , Alec Kirkley , M. E. J. Newman

The Friendship Paradox--the principle that "your friends have more friends than you do"--is a combinatorial fact about degrees in a graph; but given that many web-based social activities are correlated with a user's degree, this fact has…

社会与信息网络 · 计算机科学 2023-05-09 Anna Evtushenko , Jon Kleinberg

Generalized friendship paradoxes occur when, on average, our friends have more of some attribute than us. These paradoxes are relevant to many aspects of human interaction, notably in social science and epidemiology. Here, we derive new…

物理与社会 · 物理学 2026-01-28 Desmond J. Higham , Francesco Hrobat , Francesco Tudisco

The classical friendship paradox asserts that, on average, an individual's neighbors have a higher degree than the individual. This statement concerns network-level means and does not describe how often a typical node is locally dominated…

物理与社会 · 物理学 2026-04-22 Sang Hoon Lee

The Friendship Paradox is a simple and powerful statement about node degrees in a graph (Feld 1991). However, it only applies to undirected graphs with no edge weights, and the only node characteristic it concerns is degree. Since many…

社会与信息网络 · 计算机科学 2024-06-18 Anna Evtushenko , Jon Kleinberg

We revisit the classical friendship paradox which states that on an average ones friends have at least as many friends as oneself and generalize it to a variety of network centrality indices. For a broad class of spectral centralities on…

社会与信息网络 · 计算机科学 2026-01-09 Rajat Subhra Hazra , Evgeny Verbitskiy

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…

社会与信息网络 · 计算机科学 2016-12-28 Xin-Zeng Wu , Allon G. Percus , Kristina Lerman

Topological heterogeneities of social networks have a strong impact on the individuals embedded in those networks. One of the interesting phenomena driven by such heterogeneities is the friendship paradox (FP), stating that the mean degree…

物理与社会 · 物理学 2019-05-15 Eun Lee , Sungmin Lee , Young-Ho Eom , Petter Holme , Hang-Hyun Jo

Social networks have many counter-intuitive properties, including the "friendship paradox" that states, on average, your friends have more friends than you do. Recently, a variety of other paradoxes were demonstrated in online social…

社会与信息网络 · 计算机科学 2014-03-31 Farshad Kooti , Nathan O. Hodas , Kristina Lerman

The friendship paradox in social networks states that your friends have more friends than you do, on average. Recently, a stronger variant of the paradox was shown to hold for most people within a network: `most of your friends have more…

社会与信息网络 · 计算机科学 2024-12-04 Kristina Lerman

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…

社会与信息网络 · 计算机科学 2021-07-19 Anna Evtushenko , Jon Kleinberg

The friendship paradox states that, on average, our friends have more friends than we do. In network terms, the average degree over the nodes can never exceed the average degree over the neighbours of nodes. This effect, which is a classic…

离散数学 · 计算机科学 2018-07-05 Desmond J. Higham

Most complex systems can be captured by graphs or networks. Networks connect nodes (e.g.\ neurons) through edges (synapses), thus summarizing the system's structure. A popular way of interrogating graphs is community detection, which…

物理与社会 · 物理学 2024-09-23 Luis F Seoane

One interesting phenomenon that emerges from the typical structure of social networks is the friendship paradox. It states that your friends have on average more friends than you do. Recent efforts have explored variations of it, with…

社会与信息网络 · 计算机科学 2015-10-20 Fabrício Benevenuto , Alberto H. F. Laender , Bruno L. Alves
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