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Over the last decade, PageRank has gained importance in a wide range of applications and domains, ever since it first proved to be effective in determining node importance in large graphs (and was a pioneering idea behind Google's search…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-11-26 Atish Das Sarma , Anisur Rahaman Molla , Gopal Pandurangan , Eli Upfal

Rooted phylogenetic networks allow biologists to represent evolutionary relationships between present-day species by revealing ancestral speciation and hybridization events. A convenient and well-studied class of such networks are…

Populations and Evolution · Quantitative Biology 2026-02-02 Qiang Zhang , Mike Steel

The advances of the Linked Open Data (LOD) initiative are giving rise to a more structured Web of data. Indeed, a few datasets act as hubs (e.g., DBpedia) connecting many other datasets. They also made possible new Web services for entity…

Information Retrieval · Computer Science 2019-05-01 Mazen Alsarem , Pierre-Edouard Portier , Sylvie Calabretto , Harald Kosch

This paper presents a novel approach for using clickthrough data to learn ranked retrieval functions for web search results. We observe that users searching the web often perform a sequence, or chain, of queries with a similar information…

Machine Learning · Computer Science 2007-05-23 Filip Radlinski , Thorsten Joachims

An important class of real-world networks have directed edges, and in addition, some rank ordering on the nodes, for instance the "popularity" of users in online social networks. Yet, nearly all research related to explosive percolation has…

Physics and Society · Physics 2017-07-26 Alex Waagen , Raissa M. D'Souza , Tsai-Ching Lu

Many real life networks present an average path length logarithmic with the number of nodes and a degree distribution which follows a power law. Often these networks have also a modular and self-similar structure and, in some cases -…

Statistical Mechanics · Physics 2009-02-26 Alicia Miralles , Lichao Chen , Zhongzhi Zhang , Francesc Comellas

Social networks have ensured the expanding disproportion between the face of WWW stored traditionally in search engine repositories and the actual ever changing face of Web. Exponential growth of web users and the ease with which they can…

Social and Information Networks · Computer Science 2012-04-09 Pushpa R. Suri , Harmunish Taneja

Network generators that capture the Internet's large-scale topology are crucial for the development of efficient routing protocols and modeling Internet traffic. Our ability to design realistic generators is limited by the incomplete…

Statistical Mechanics · Physics 2009-11-07 Soon-Hyung Yook , Hawoong Jeong , Albert-Laszlo Barabasi

We study the statistical properties of large random networks with specified degree distributions. New techniques are presented for analyzing the structure of social networks. Specifically, we address the question of how many nodes exist at…

Physics and Society · Physics 2007-05-23 Erik Volz

For DNA sequences of various species we construct the Google matrix G of Markov transitions between nearby words composed of several letters. The statistical distribution of matrix elements of this matrix is shown to be described by a power…

Genomics · Quantitative Biology 2013-05-23 Vivek Kandiah , Dima L. Shepelyansky

We analyze dynamic random network models where younger vertices connect to older ones with probabilities proportional to their degrees as well as a propensity kernel governed by their attribute types. Using stochastic approximation…

Probability · Mathematics 2025-10-29 Nelson Antunes , Sayan Banerjee , Shankar Bhamidi , Vladas Pipiras

We study the behavior of network diffusions based on the PageRank random walk from a set of seed nodes. These diffusions are known to reveal small, localized clusters (or communities) and also large macro-scale clusters by varying a…

Social and Information Networks · Computer Science 2016-07-06 Kyle Kloster , David F. Gleich

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

Are biological networks different from other large complex networks? Both large biological and non-biological networks exhibit power-law graphs (number of nodes with degree k, N(k) ~ k-b) yet the exponents, b, fall into different ranges.…

Condensed Matter · Physics 2007-05-23 Fan Chung , Linyuan Lu , T. Gregory Dewey , David J. Galas

We study the properties of discrete-time random walks on networks formed by randomly interconnected cliques, namely, random networks of cliques. Our purpose is to derive the parameters that define the network structure -- specifically, the…

Statistical Mechanics · Physics 2025-04-24 Albano Nannini , Damián Zanette

The inference of rankings plays a central role in the theory of social choice, which seeks to establish preferences from collectively generated data, such as pairwise comparisons. Examples include political elections, ranking athletes based…

Social and Information Networks · Computer Science 2025-03-25 Juan Ignacio Perotti

PageRank is a well-known centrality measure for the web used in search engines, representing the importance of each web page. In this paper, we follow the line of recent research on the development of distributed algorithms for computation…

Systems and Control · Electrical Eng. & Systems 2019-07-24 Atsushi Suzuki , Hideaki Ishii

A fundamental goal of search engines is to identify, given a query, documents that have relevant text. This is intrinsically difficult because the query and the document may use different vocabulary, or the document may contain query words…

Information Retrieval · Computer Science 2016-02-04 Bhaskar Mitra , Eric Nalisnick , Nick Craswell , Rich Caruana

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

The topological structures of the Internet and the Web have received considerable attention. However, there has been little research on the topological properties of individual web sites. In this paper, we consider whether web sites (as…

Information Retrieval · Computer Science 2016-11-17 Shi Zhou , Ingemar Cox , Vaclav Petricek