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The association between tie strength and social structure is a fundamental topic in the social sciences. We study this association by analyzing tie strength in higher-order networks, an increasingly relevant model which can encode group…

Social and Information Networks · Computer Science 2024-09-26 Arnab Sarker , Jean-Baptiste Seby , Austin R. Benson , Ali Jadbabaie

Identifying key nodes is crucial for accelerating or impeding dynamic spreading in a network. Community-aware centrality measures tackle this problem by exploiting the community structure of a network. Although there is a growing trend to…

Social and Information Networks · Computer Science 2022-02-02 Stephany Rajeh , Marinette Savonnet , Eric Leclercq , Hocine Cherifi

Uncertainty about models and data is ubiquitous in the computational social sciences, and it creates a need for robust social network algorithms, which can simultaneously provide guarantees across a spectrum of models and parameter…

Social and Information Networks · Computer Science 2016-06-13 Xinran He , David Kempe

Recently, community search over graphs has attracted significant attention and many algorithms have been developed for finding dense subgraphs from large graphs that contain given query nodes. In applications such as analysis of protein…

Databases · Computer Science 2017-02-15 Xin Huang , Laks V. S. Lakshmanan

In this paper, we analyse the sustainability of social networks using STrust, our social trust model. The novelty of the model is that it introduces the concept of engagement trust and combines it with the popularity trust to derive the…

Social and Information Networks · Computer Science 2013-11-20 Surya Nepal , Cecile Paris , Sanat Kumar Bista , Wanita Sherchan

We consider the classic problem of Network Reliability. A network is given together with a source vertex, one or more target vertices, and probabilities assigned to each of the edges. Each edge appears in the network with its associated…

Combinatorics · Mathematics 2019-03-20 Amir Kafshdar Goharshady , Fatemeh Mohammadi

We study the NP-hard Shortest Path Most Vital Edges problem arising in the context of analyzing network robustness. For an undirected graph with positive integer edge lengths and two designated vertices $s$ and $t$, the goal is to delete as…

Computational Complexity · Computer Science 2018-04-25 Cristina Bazgan , Till Fluschnik , André Nichterlein , Rolf Niedermeier , Maximilian Stahlberg

We propose the reliability constrained k-rooted minimum spanning forest, a relevant optimization problem whose aim is to find a k-rooted minimum cost forest that connects given customers to a number of supply vertices, in such a way that a…

Optimization and Control · Mathematics 2019-09-10 Ida Kalateh Ahani , Majid Salari , Seyed Mahmoud Hosseini , Manuel Iori

In this work, we have proposed a system theoretic method to compute sensitivities of different lines for $N-k$ contingency analysis in power network. We have formulated the $N-k$ contingency analysis as the stability problem of power…

Optimization and Control · Mathematics 2018-01-03 Sambarta Dasgupta , Umesh Vaidya

The concept of k-core, which indicates the largest induced subgraph where each node has k or more neighbors, plays a significant role in measuring the cohesiveness and the engagement of a network, and it is exploited in diverse…

Social and Information Networks · Computer Science 2023-01-03 Yuqian Lv , Bo Zhou , Jinhuan Wang , Qi Xuan

Knowing the structure of an offline social network facilitates a variety of analyses, including studying the rate at which infectious diseases may spread and identifying a subset of actors to immunize in order to reduce, as much as…

Social and Information Networks · Computer Science 2017-06-27 Naghmeh Momeni , Michael Rabbat

We investigate a process of joining $k$ random spanning trees on a fixed clique $K_n$. The joined trees may not be disjoint and multiple edges are replaced by one simple edge. This process produces a simple graph $G$ on $n$~vertices with an…

Discrete Mathematics · Computer Science 2025-11-25 Blazej Wrobel , Dominik Bojko

We empirically analyze five online communities: Friendster, Livejournal, Facebook, Orkut, Myspace, to identify causes for the decline of social networks. We define social resilience as the ability of a community to withstand changes. We do…

Social and Information Networks · Computer Science 2014-04-11 David Garcia , Pavlin Mavrodiev , Frank Schweitzer

The theory of community structure is a powerful tool for real networks, which can simplify their topological and functional analysis considerably. However, since community detection methods have random factors and real social networks…

Physics and Society · Physics 2015-03-30 Hui-Jia Li , Hao Wang , Luonan Chen

We analyse signed networks from the perspective of balance theory which predicts structural balance as a global structure for signed social networks that represent groups of friends and enemies. The scarcity of balanced networks encouraged…

Social and Information Networks · Computer Science 2019-01-23 Samin Aref

The relationship of friends in social networks can be strong or weak. Some research works have shown that a close relationship between friends conducts good community structure. Based on this result, we propose an effective method in…

Social and Information Networks · Computer Science 2017-11-01 Xiaoping Fan , Zhijie Chen , Fei Cai , Jinsong Wu , Shengzong Liu , Zhining Liao , Zhifang Liao

To monitor risk in temporal financial networks, we need to understand how individual behaviours affect the global evolution of networks. Here we define a structural importance metric - which we denote as $l_e$ - for the edges of a network.…

Computational Engineering, Finance, and Science · Computer Science 2020-12-24 Isobel Seabrook , Paolo Barucca , Fabio Caccioli

Community detection and edge prediction are both forms of link mining: they are concerned with discovering the relations between vertices in networks. Some of the vertex similarity measures used in edge prediction are closely related to the…

Physics and Society · Physics 2015-06-03 Bowen Yan , Steve Gregory

Inferring tie strengths in social networks is an essential task in social network analysis. Common approaches classify the ties as wea} and strong ties based on the strong triadic closure (STC). The STC states that if for three nodes, $A$,…

Social and Information Networks · Computer Science 2024-01-17 Lutz Oettershagen , Athanasios L. Konstantinidis , Giuseppe F. Italiano

This paper proposes an alternative way to identify nodes with high betweenness centrality. It introduces a new metric, k-path centrality, and a randomized algorithm for estimating it, and shows empirically that nodes with high k-path…

Data Structures and Algorithms · Computer Science 2017-02-23 Nicolas Kourtellis , Tharaka Alahakoon , Ramanuja Simha , Adriana Iamnitchi , Rahul Tripathi