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Network representation learning (NRL) methods aim to map each vertex into a low dimensional space by preserving the local and global structure of a given network, and in recent years they have received a significant attention thanks to…

Machine Learning · Computer Science 2018-10-17 Abdulkadir Çelikkanat , Fragkiskos D. Malliaros

We consider a dynamic model for competition in a social network, where two strategic agents have fixed beliefs and the non-strategic/regular agents adjust their states according to a distributed consensus protocol. We suppose that one…

Social and Information Networks · Computer Science 2021-05-06 M. Bini , P. Frasca , C. Ravazzi , F. Dabbene

The Minimum Vertex Cover (MinVC) problem is a well-known NP-hard problem. Recently there has been great interest in solving this problem on real-world massive graphs. For such graphs, local search is a promising approach to finding optimal…

Data Structures and Algorithms · Computer Science 2015-09-22 Yi Fan , Chengqian Li , Zongjie Ma , LjiLjana Brankovic , Vladimir Estivill-Castro , Abdul Sattar

Consider a matching problem on a graph where disjoint sets of vertices are privately owned by self-interested agents. An edge between a pair of vertices indicates compatibility and allows the vertices to match. We seek a mechanism to…

Computer Science and Game Theory · Computer Science 2016-11-25 Itai Ashlagi , Felix Fischer , Ian A. Kash , Ariel D. Procaccia

Given a set of vertices in a network, that we believe are of interest for the application under analysis, community search is the problem of producing a subgraph potentially explaining the relationships existing among the vertices of…

Data Structures and Algorithms · Computer Science 2020-12-07 Francesco Bonchi , Lorenzo Severini , Mauro Sozio

How should we gather information in a network, where each node's visibility is limited to its local neighborhood? This problem arises in numerous real-world applications, such as surveying and task routing in social networks, team formation…

Artificial Intelligence · Computer Science 2015-05-07 Adish Singla , Eric Horvitz , Pushmeet Kohli , Ryen White , Andreas Krause

In network analysis and graph mining, closeness centrality is a popular measure to infer the importance of a vertex. Computing closeness efficiently for individual vertices received considerable attention. The NP-hard problem of group…

Data Structures and Algorithms · Computer Science 2019-11-11 Eugenio Angriman , Alexander van der Grinten , Henning Meyerhenke

In this paper, we consider the problem of planning a path for a robot to monitor a known set of features of interest in an environment. We represent the environment as a graph with vertex weights and edge lengths. The vertices represent…

Data Structures and Algorithms · Computer Science 2012-10-17 Soroush Alamdari , Elaheh Fata , Stephen L. Smith

Networks are one of the most powerful structures for modeling problems in the real world. Downstream machine learning tasks defined on networks have the potential to solve a variety of problems. With link prediction, for instance, one can…

Machine Learning · Computer Science 2019-11-27 Nino Arsov , Georgina Mirceva

Social networks have the surprising property of being "searchable": Ordinary people are capable of directing messages through their network of acquaintances to reach a specific but distant target person in only a few steps. We present a…

Disordered Systems and Neural Networks · Physics 2009-11-07 D. J. Watts , P. S. Dodds , M. E. J. Newman

Bipartite networks are a common type of network data in which there are two types of vertices, and only vertices of different types can be connected. While bipartite networks exhibit community structure like their unipartite counterparts,…

Social and Information Networks · Computer Science 2014-07-14 Daniel B. Larremore , Aaron Clauset , Abigail Z. Jacobs

Given a pair of graphs $G_1$ and $G_2$ and a vertex set of interest in $G_1$, the vertex nomination (VN) problem seeks to find the corresponding vertices of interest in $G_2$ (if they exist) and produce a rank list of the vertices in $G_2$,…

Recently similarity graphs became the leading paradigm for efficient nearest neighbor search, outperforming traditional tree-based and LSH-based methods. Similarity graphs perform the search via greedy routing: a query traverses the graph…

Machine Learning · Computer Science 2019-05-28 Dmitry Baranchuk , Dmitry Persiyanov , Anton Sinitsin , Artem Babenko

For data represented by networks, the community structure of the underlying graph is of great interest. A classical clustering problem is to uncover the overall ``best'' partition of nodes in communities. Here, a more elaborate description…

Physics and Society · Physics 2013-11-11 Nicolas Tremblay , Pierre Borgnat

We propose a new algorithm to detect the community structure in a network that utilizes both the network structure and vertex attribute data. Suppose we have the network structure together with the vertex attribute data, that is, the…

Social and Information Networks · Computer Science 2016-11-23 Shun Kataoka , Takuto Kobayashi , Muneki Yasuda , Kazuyuki Tanaka

Mixture models are probabilistic models aimed at uncovering and representing latent subgroups within a population. In the realm of network data analysis, the latent subgroups of nodes are typically identified by their connectivity…

Methodology · Statistics 2020-05-27 Giacomo De Nicola , Benjamin Sischka , Göran Kauermann

We propose a new distribution-free model of social networks. Our definitions are motivated by one of the most universal signatures of social networks, triadic closure---the property that pairs of vertices with common neighbors tend to be…

Combinatorics · Mathematics 2018-04-26 Jacob Fox , Tim Roughgarden , C. Seshadhri , Fan Wei , Nicole Wein

We propose a neural embedding algorithm called Network Vector, which learns distributed representations of nodes and the entire networks simultaneously. By embedding networks in a low-dimensional space, the algorithm allows us to compare…

Social and Information Networks · Computer Science 2017-09-11 Hao Wu , Kristina Lerman

We consider the problem of graph matching, or learning vertex correspondence, between two correlated stochastic block models (SBMs). The graph matching problem arises in various fields, including computer vision, natural language processing…

Data Structures and Algorithms · Computer Science 2023-06-05 Joonhyuk Yang , Dongpil Shin , Hye Won Chung

Vertex nomination is a lightly-supervised network information retrieval task in which vertices of interest in one graph are used to query a second graph to discover vertices of interest in the second graph. Similar to other information…

Information Retrieval · Computer Science 2023-05-05 Keith Levin , Carey E. Priebe , Vince Lyzinski