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A geodesic is the shortest path between two vertices in a connected network. The geodesic is the kernel of various network metrics including radius, diameter, eccentricity, closeness, and betweenness. These metrics are the foundation of…

Data Structures and Algorithms · Computer Science 2010-09-06 Marko A. Rodriguez , Jennifer H. Watkins

The majority of Semantic Web search engines retrieve information by focusing on the use of concepts and relations restricted to the query provided by the user. By trying to guess the implicit meaning between these concepts and relations,…

Information Retrieval · Computer Science 2012-11-28 Manuel Rojas

Network embeddings, which learn low-dimensional representations for each vertex in a large-scale network, have received considerable attention in recent years. For a wide range of applications, vertices in a network are typically…

Computation and Language · Computer Science 2018-08-30 Dinghan Shen , Xinyuan Zhang , Ricardo Henao , Lawrence Carin

Group centrality is an extension of the classical notion of centrality for individuals, to make it applicable to sets of them. We perform a SWOT (strengths, weaknesses, opportunities and threats) analysis of the use of group centrality in…

Social and Information Networks · Computer Science 2016-01-05 Camilo Garrido , Ricardo Mora , Claudio Gutierrez

Nodes can be ranked according to their relative importance within the network. Ranking algorithms based on random walks are particularly useful because they connect topological and diffusive properties of the network. Previous methods based…

Physics and Society · Physics 2014-06-17 Luis Enrique Correa Rocha , Naoki Masuda

Semantic memory is the subsystem of human memory that stores knowledge of concepts or meanings, as opposed to life specific experiences. The organization of concepts within semantic memory can be understood as a semantic network, where the…

Document networks are found in various collections of real-world data, such as citation networks, hyperlinked web pages, and online social networks. A large number of generative models have been proposed because they offer intuitive and…

Physics and Society · Physics 2020-01-22 Takafumi J. Suzuki

Blogs and social networking sites serve as a platform to the users for expressing their interests, ideas and thoughts. Targeted marketing uses the recommendation systems for suggesting their services and products to the users or clients. So…

Software Engineering · Computer Science 2024-08-09 Usama Ahmed Jamal

Predicting the occurrence of links is a fundamental problem in networks. In the link prediction problem we are given a snapshot of a network and would like to infer which interactions among existing members are likely to occur in the near…

Social and Information Networks · Computer Science 2010-11-19 L. Backstrom , J. Leskovec

Accurately capturing individual differences in semantic networks is fundamental to advancing our mechanistic understanding of semantic memory. Past empirical attempts to construct individual-level semantic networks from behavioral paradigms…

Computation and Language · Computer Science 2024-10-25 Samuel Aeschbach , Rui Mata , Dirk U. Wulff

Complex networks or graphs provide a powerful framework to understand importance of individuals and their interactions in real-world complex systems. Several graph theoretical measures have been introduced to access importance of the…

Physics and Society · Physics 2020-04-08 Priodyuti Pradhan , Angeliya C. U. , Sarika Jalan

Many popular measures used in social network analysis, including centrality, are based on the random walk. The random walk is a model of a stochastic process where a node interacts with one other node at a time. However, the random walk may…

Social and Information Networks · Computer Science 2014-03-31 Rumi Ghosh , Kristina Lerman

Centrality is one of the most fundamental metrics in network science. Despite an abundance of methods for measuring centrality of individual vertices, there are by now only a few metrics to measure centrality of individual edges. We modify…

Physics and Society · Physics 2019-09-25 Timo Bröhl , Klaus Lehnertz

Edge centrality measures are functions that evaluate the importance of edges in a network. They can be used to assess the role of a backlink for the popularity of a website as well as the importance of a flight in virus spreading. Various…

Social and Information Networks · Computer Science 2021-12-09 Natalia Kucharczuk , Tomasz Was , Oskar Skibski

Higher-order networks are efficient representations of sequential data. Unlike the classic first-order network approach, they capture indirect dependencies between items composing the input sequences by the use of \textit{memory-nodes}. We…

Physics and Society · Physics 2021-09-08 Célestin Coquidé , Julie Queiros , François Queyroi

The purpose of the research is to find a centrality measure that can be used in place of PageRank and to find out the conditions where we can use it in place of PageRank. After analysis and comparison of graphs with a large number of nodes…

Social and Information Networks · Computer Science 2022-01-24 Suvarna Saumya Chandrashekhar , Mashrin Srivastava , B. Jaganathan , Pankaj Shukla

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

Random walk centrality is a fundamental metric in graph mining for quantifying node importance and influence, defined as the weighted average of hitting times to a node from all other nodes. Despite its ability to capture rich graph…

Artificial Intelligence · Computer Science 2025-10-24 Changan Liu , Zixuan Xie , Ahad N. Zehmakan , Zhongzhi Zhang

In this paper analogies between different (dis)similarity matrices are derived. These matrices, which are connected to path enumeration and random walks, are used in community detection methods or in computation of centrality measures for…

Physics and Society · Physics 2015-03-20 J. K. Ochab

Graph centrality measures use the structure of a network to quantify central or "important" nodes, with applications in web search, social media analysis, and graphical data mining generally. Traditional centrality measures such as the well…

Social and Information Networks · Computer Science 2021-01-20 Liang Lyu , Brandon Fain , Kamesh Munagala , Kangning Wang
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