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Identifying the most influential nodes in information networks has been the focus of many research studies. This problem has crucial applications in various contexts, such as controlling the propagation of viruses or rumours in real-world…

Social and Information Networks · Computer Science 2022-08-30 Ahmad Asgharian Rezaei , Justin Munoz , Mahdi Jalili , Hamid Khayyam

Distances in a network capture relations between nodes and are the basis of centrality, similarity, and influence measures. Often, however, the relevance of a node $u$ to a node $v$ is more precisely measured not by the magnitude of the…

Social and Information Networks · Computer Science 2016-02-25 Eliav Buchnik , Edith Cohen

Probabilistic graphs are an abstraction that allow us to study randomized propagation in graphs. In a probabilistic graph, each edge is "active" with a certain probability, independent of the other edges. For two vertices $u,v$, a classic…

Data Structures and Algorithms · Computer Science 2025-07-14 Aditya Bhaskara , Alex Crane , Shweta Jain , Md Mumtahin Habib Ullah Mazumder , Blair D. Sullivan , Prasanth Yalamanchili

We study the power of \textit{local information algorithms} for optimization problems on social networks. We focus on sequential algorithms for which the network topology is initially unknown and is revealed only within a local neighborhood…

Social and Information Networks · Computer Science 2013-10-15 Christian Borgs , Michael Brautbar , Jennifer Chayes , Sanjeev Khanna , Brendan Lucier

Identifying influential nodes in a network is a major issue due to the great deal of applications concerned, such as disease spreading and rumor dynamics. That is why, a plethora of centrality measures has emerged over the years in order to…

Social and Information Networks · Computer Science 2023-01-04 Ahmed Ibnoulouafi , Mohamed El Haziti , Hocine Cherifi

Extracting information from real-world large networks is a key challenge nowadays. For instance, computing a node centrality may become unfeasible depending on the intended centrality due to its computational cost. One solution is to…

Social and Information Networks · Computer Science 2020-11-30 Matheus R. F. Mendonça , André M. S. Barreto , Artur Ziviani

Node-connectivity augmentation is a fundamental network design problem. We are given a $k$-node connected graph $G$ together with an additional set of links, and the goal is to add a cheap subset of links to $G$ to make it $(k+1)$-node…

Data Structures and Algorithms · Computer Science 2023-11-29 Waldo Galvez , Dylan Hyatt-Denesik , Afrouz Jabal Ameli , Laura Sanita

Many systems such as critical infrastructure exhibit a modular structure with many links within the modules and few links between them. One approach to increase the robustness of these systems is to reinforce a fraction of the nodes in each…

Physics and Society · Physics 2022-05-11 Yael Kfir-Cohen , Dana Vaknin , Shlomo Havlin

The node-averaged complexity of a distributed algorithm running on a graph $G=(V,E)$ is the average over the times at which the nodes $V$ of $G$ finish their computation and commit to their outputs. We study the node-averaged complexity for…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-08-18 Alkida Balliu , Mohsen Ghaffari , Fabian Kuhn , Dennis Olivetti

Given a graph G, a budget k and a misinformation seed set S, Influence Minimization (IMIN) via node blocking aims to find a set of k nodes to be blocked such that the expected spread of S is minimized. This problem finds important…

Databases · Computer Science 2024-05-22 Jinghao Wang , Yanping Wu , Xiaoyang Wang , Ying Zhang , Lu Qin , Wenjie Zhang , Xuemin Lin

Vital nodes identification is an essential problem in network science. Various methods have been proposed to solve this problem. In particular, based on the gravity model, a series of improved gravity models are proposed to find vital nodes…

Social and Information Networks · Computer Science 2022-06-02 Hanwen Li , Qiuyan Shang , Yong Deng

An added edge to a graph is called an inset edge. Predicting k inset edges which minimize the average distance of a graph is known to be NP-Hard. When k = 1 the complexity of the problem is polynomial. In this paper, we further find the…

Data Structures and Algorithms · Computer Science 2020-08-14 M. H. Khalifeh , A. -H. Esfahanian

The coupling of some types of oscillators requires the mediation of a physical link between them, rendering the distance between oscillators a critical factor to achieve synchronization. In this paper we propose and explore a greedy…

Adaptation and Self-Organizing Systems · Physics 2022-09-21 Damien Beecroft , Juan G. Restrepo , David Angulo-Garcia

Network analysis is an important tool in understanding the behavior of complex systems of interacting entities. However, due to the limitations of data gathering technologies, some interactions might be missing from the network model. This…

Social and Information Networks · Computer Science 2016-08-25 Soumya Sarkar , Sanjukta Bhowmick , Suhansanu Kumar , Animesh Mukherjee

We investigate the problem of enforcing a desired centrality measure in complex networks, while still keeping the original pattern of the network. Specifically, by representing the network as a graph with suitable nodes and weighted edges,…

Physics and Society · Physics 2025-03-13 Stefano Cipolla , Fabio Durastante , Beatrice Meini

Given an undirected graph G, the edge orientation problem asks for assigning a direction to each edge to convert G into a directed graph. The aim is to minimize the maximum out degree of a vertex in the resulting directed graph. This…

Data Structures and Algorithms · Computer Science 2024-04-23 H. Reinstädtler , C. Schulz , B. Uçar

The position of the nodes within a network topology largely determines the level of their involvement in various networking functions. Yet numerous node centrality indices, proposed to quantify how central individual nodes are in this…

Social and Information Networks · Computer Science 2013-12-18 George Nomikos , Panagiotis Pantazopoulos , Merkourios Karaliopoulos , Ioannis Stavrakakis

The effective resistance between a pair of nodes in a weighted undirected graph is defined as the potential difference induced between them when a unit current is injected at the first node and extracted at the second node, treating edge…

Optimization and Control · Mathematics 2017-08-25 Necdet Serhat Aybat , Mert Gurbuzbalaban

Network Function Virtualization (NFV) has the potential to significantly reduce the capital and operating expenses, shorten product release cycle, and improve service agility. In this paper, we focus on minimizing the total number of…

Networking and Internet Architecture · Computer Science 2017-02-07 Yu Sang , Bo Ji , Gagan R. Gupta , Xiaojiang Du , Lin Ye

Since the structure of complex networks is often unknown, we may identify the most influential seed nodes by exploring only a part of the underlying network, given a small budget for node queries. We propose IM-META, a solution to influence…

Social and Information Networks · Computer Science 2024-02-07 Cong Tran , Won-Yong Shin , Andreas Spitz
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