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The quantum SearchRank algorithm is a promising tool for a future quantum search engine based on PageRank quantization. However, this algorithm loses its functionality when the $N/M$ ratio between the network size $N$ and the number of…

Quantum Physics · Physics 2024-10-22 Sergio A. Ortega , Miguel A. Martin-Delgado

HodgeRank generalizes ranking algorithms, e.g. Google PageRank, to rank alternatives based on real-world (often incomplete) data using graphs and discrete exterior calculus. It analyzes multipartite interactions on high-dimensional networks…

Quantum Physics · Physics 2025-06-26 Caesnan M. G. Leditto , Angus Southwell , Behnam Tonekaboni , Muhammad Usman , Kavan Modi

PageRank is a well-known algorithm for measuring centrality in networks. It was originally proposed by Google for ranking pages in the World-Wide Web. One of the intriguing empirical properties of PageRank is the so-called `power-law…

Probability · Mathematics 2018-03-19 Alessandro Garavaglia , Remco van der Hofstad , Nelly Litvak

Processing large complex networks recently attracted considerable interest. Complex graphs are useful in a wide range of applications from technological networks to biological systems like the human brain. Sometimes these networks are…

Data Structures and Algorithms · Computer Science 2019-12-03 Christian Schulz

Node influence metrics have been applied to many applications, including ranking web pages on internet, or locations on spatial networks. PageRank is a popular and effective algorithm for estimating node influence. However, conventional…

Social and Information Networks · Computer Science 2021-04-07 Qiwei Ma , Zhaoya Gong

We analyze linkage strategies for a set I of webpages for which the webmaster wants to maximize the sum of Google's PageRank scores. The webmaster can only choose the hyperlinks starting from the webpages of I and has no control on the…

Information Retrieval · Computer Science 2007-12-04 Cristobald de Kerchove , Laure Ninove , Paul Van Dooren

Ranking on large-scale graphs plays a fundamental role in many high-impact application domains, ranging from information retrieval, recommender systems, sports team management, biology to neuroscience and many more. PageRank, together with…

Social and Information Networks · Computer Science 2018-11-27 Jian Kang , Meijia Wang , Nan Cao , Yinglong Xia , Wei Fan , Hanghang Tong

A variety of problems in distributed control involve a networked system of autonomous agents cooperating to carry out some complex task in a decentralized fashion, e.g., orienting a flock of drones, or aggregating data from a network of…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-01 Bernadette Charron-Bost , Patrick Lambein-Monette

Resource allocation and scheduling in multi-agent systems present challenges due to complex interactions and decentralization. This survey paper provides a comprehensive analysis of distributed algorithms for addressing the distributed…

Link prediction, a foundational task in complex network analysis, has extensive applications in critical scenarios such as social recommendation, drug target discovery, and knowledge graph completion. However, existing evaluations of…

Other Statistics · Statistics 2025-12-30 Yilin Bi , Junhao Bian , Shuyan Wan , Shuaijia Wang , Tao Zhou

Sponsored search is an indispensable business model and a major revenue contributor of almost all the search engines. From the advertisers' side, participating in ranking the search results by paying for the sponsored search advertisement…

Information Retrieval · Computer Science 2018-03-28 Li He , Liang Wang , Kaipeng Liu , Bo Wu , Weinan Zhang

This article provides an alternative perspective for measuring author impact by applying PageRank algorithm to a coauthorship network. A weighted PageRank algorithm considering citation and coauthorship network topology is proposed. We test…

Digital Libraries · Computer Science 2010-12-23 Erjia Yan , Ying Ding

In this paper new results on personalized PageRank are shown. We consider directed graphs that may contain dangling nodes. The main result presented gives an analytical characterization of all the possible values of the personalized…

Discrete Mathematics · Computer Science 2012-07-13 Esther Garcia , Francisco Pedroche , Miguel Romance

This paper presents a novel distributed low-rank scheme and adaptive algorithms for distributed estimation over wireless networks. The proposed distributed scheme is based on a transformation that performs dimensionality reduction at each…

Information Theory · Computer Science 2017-10-03 Rodrigo C. de Lamare

Link-analysis algorithms, such as PageRank, are instrumental in understanding the structural dynamics of networks by evaluating the importance of individual vertices based on their connectivity. Recently, with the rising importance of…

Social and Information Networks · Computer Science 2025-12-15 Honglian Wang , Haoyun Chen , Aristides Gionis

Many complex systems can be described as multiplex networks in which the same nodes can interact with one another in different layers, thus forming a set of interacting and co-evolving networks. Examples of such multiplex systems are social…

Physics and Society · Physics 2013-11-12 Arda Halu , Raul J. Mondragon , Pietro Panzarasa , Ginestra Bianconi

We analyze the distribution of PageRank on a directed configuration model and show that as the size of the graph grows to infinity it can be closely approximated by the PageRank of the root node of an appropriately constructed tree. This…

Probability · Mathematics 2014-08-18 Ningyuan Chen , Nelly Litvak , Mariana Olvera-Cravioto

In this paper, we try to answer the question of how to improve the state-of-the-art methods for relevance ranking in web search by query segmentation. Here, by query segmentation it is meant to segment the input query into segments,…

Information Retrieval · Computer Science 2013-12-03 Haocheng Wu , Yunhua Hu , Hang Li , Enhong Chen

Average consensus algorithms have wide applications in distributed computing systems where all the nodes agree on the average value of their initial states by only exchanging information with their local neighbors. In this letter, we look…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-02-24 Zheng Chen , Erik G. Larsson

With the rise of social networks, information on the internet is no longer solely organized by web pages. Rather, content is generated and shared among users and organized around their social relations on social networks. This presents new…

Information Retrieval · Computer Science 2020-05-12 Yunzhong He , Wenyuan Li , Liang-Wei Chen , Gabriel Forgues , Xunlong Gui , Sui Liang , Bo Hou