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The notions of subgraph centrality and communicability, based on the exponential of the adjacency matrix of the underlying graph, have been effectively used in the analysis of undirected networks. In this paper we propose an extension of…

Numerical Analysis · Mathematics 2013-01-29 Michele Benzi , Ernesto Estrada , Christine Klymko

We consider a broad class of walk-based, parameterized node centrality measures for network analysis. These measures are expressed in terms of functions of the adjacency matrix and generalize various well-known centrality indices, including…

Numerical Analysis · Mathematics 2015-07-09 Michele Benzi , Christine Klymko

In the search engine of Google, the PageRank algorithm plays a crucial role in ranking the search results. The algorithm quantifies the importance of each web page based on the link structure of the web. We first provide an overview of the…

Systems and Control · Computer Science 2012-03-30 Hideaki Ishii , Roberto Tempo

This paper develops a generalization of the PageRank model of page centralities in the global webgraph of hyperlinks. The webgraph of adjacencies is generalized to a valued directed graph, and the scalar dampening coefficient for walks…

Social and Information Networks · Computer Science 2014-01-21 Noah E. Friedkin

Node-ranking methods that focus on structural importance are widely used in a variety of applications, from ranking webpages in search engines to identifying key molecules in biomolecular networks. In real social, supply chain, and…

Social and Information Networks · Computer Science 2025-10-23 Erica Cai , Benjamin A. Miller , Olga Simek , Christopher L. Smith

In a node-labeled graph, keyword search finds subtrees of the graph whose nodes contain all of the query keywords. This provides a way to query graph databases that neither requires mastery of a query language such as SPARQL, nor a deep…

Databases · Computer Science 2016-03-30 Mehdi Kargar , Lukasz Golab , Jaroslaw Szlichta

The significance of the PageRank algorithm in shaping the modern Internet cannot be overstated, and its Complex Network theory foundations continue to be a subject of research. In this article we carry out a systematic study of the…

Physics and Society · Physics 2023-10-11 Gonzalo Contreras-Aso , Regino Criado , Miguel Romance

In graph theory and network analysis, node degree is defined as a simple but powerful centrality to measure the local influence of node in a complex network. Preferential attachment based on node degree has been widely adopted for modeling…

Social and Information Networks · Computer Science 2021-03-02 Jiaojiao Jiang , Sanjay Jha

Modern entity linking systems rely on large collections of documents specifically annotated for the task (e.g., AIDA CoNLL). In contrast, we propose an approach which exploits only naturally occurring information: unlabeled documents and…

Computation and Language · Computer Science 2019-06-05 Phong Le , Ivan Titov

Node centrality is one of the most important and widely used concepts in the study of complex networks. Here, we extend the paradigm of node centrality in financial and economic networks to consider the changes of node "importance" produced…

Mathematical Finance · Quantitative Finance 2020-06-05 Paolo Bartesaghi , Michele Benzi , Gian Paolo Clemente , Rosanna Grassi , Ernesto Estrada

The proliferation of social media has the potential for changing the structure and organization of the web. In the past, scientists have looked at the web as a large connected component to understand how the topology of hyperlinks…

Social and Information Networks · Computer Science 2013-08-27 Tommy Nguyen , Boleslaw K. Szymanski

Nowadays, information describing navigation behaviour of internet users are used in several fields, e-commerce, economy, sociology and data science. Such information can be extracted from different knowledge bases, including…

Social and Information Networks · Computer Science 2020-08-18 Célestin Coquidé , Włodzimierz Lewoniewski

In recent years, countless research papers have addressed the topics of knowledge graph creation, extension, or completion in order to create knowledge graphs that are larger, more correct, or more diverse. This research is typically…

Artificial Intelligence · Computer Science 2023-08-22 Nicolas Heist , Sven Hertling , Heiko Paulheim

The frustration index is a key measure for analysing signed networks, which has been underused due to its computational complexity. We use an exact optimisation-based method to analyse frustration as a global structural property of signed…

Social and Information Networks · Computer Science 2019-07-23 Samin Aref , Mark C. Wilson

A graph with semantically attributed nodes are a common data structure in a wide range of domains. It could be interlinked web data or citation networks of scientific publications. The essential problem for such a data type is to determine…

Machine Learning · Computer Science 2025-12-09 Elizaveta Kovtun , Maksim Makarenko , Natalia Semenova , Alexey Zaytsev , Semen Budennyy

The search task and the system both affect the demand on cognitive resources during information search. In some situations, the demands may become too high for a person. This article has a three-fold goal. First, it presents and critiques…

Human-Computer Interaction · Computer Science 2010-05-18 Jacek Gwizdka

Decentralized learning provides an effective framework to train machine learning models with data distributed over arbitrary communication graphs. However, most existing approaches toward decentralized learning disregard the interaction…

Machine Learning · Computer Science 2022-04-14 Yatin Dandi , Anastasia Koloskova , Martin Jaggi , Sebastian U. Stich

As one of the richest sources of encyclopedic information on the Web, Wikipedia generates an enormous amount of traffic. In this paper, we study large-scale article access data of the English Wikipedia in order to compare articles with…

Social and Information Networks · Computer Science 2018-05-11 Dimitar Dimitrov , Florian Lemmerich , Fabian Flöck , Markus Strohmaier

In social network science, Facebook is one of the most interesting and widely used social networks and media platforms. Its data contributed to significant evolution of social network research and link prediction techniques, which are…

Social and Information Networks · Computer Science 2021-07-28 Tim Poštuvan , Semir Salkić , Lovro Šubelj

In this work we introduce and study a nonlocal version of the PageRank. In our approach, the random walker explores the graph using longer excursions than just moving between neighboring nodes. As a result, the corresponding ranking of the…

Social and Information Networks · Computer Science 2021-03-10 Stefano Cipolla , Fabio Durastante , Francesco Tudisco
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