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We propose the Temporal Walk Centrality, which quantifies the importance of a node by measuring its ability to obtain and distribute information in a temporal network. In contrast to the widely-used betweenness centrality, we assume that…

Social and Information Networks · Computer Science 2022-02-09 Lutz Oettershagen , Petra Mutzel , Nils M. Kriege

Graph clustering is a fundamental computational problem with a number of applications in algorithm design, machine learning, data mining, and analysis of social networks. Over the past decades, researchers have proposed a number of…

Data Structures and Algorithms · Computer Science 2019-04-12 He Sun , Luca Zanetti

The graph retrieval problem is to search in a large corpus of graphs for ones that are most similar to a query graph. A common consideration for scoring similarity is the maximum common subgraph (MCS) between the query and corpus graphs,…

Machine Learning · Computer Science 2022-10-21 Indradyumna Roy , Soumen Chakrabarti , Abir De

Graph burning is a process of information spreading through the network by an agent in discrete steps. The problem is to find an optimal sequence of nodes which have to be given information so that the network is covered in least number of…

Data Structures and Algorithms · Computer Science 2020-08-21 Rahul Kumar Gautam , Anjeneya Swami Kare , S. Durga Bhavani

Partitioning an input graph over a set of workers is a complex operation. Objectives are twofold: split the work evenly, so that every worker gets an equal share, and minimize edge cut to achieve a good work locality (i.e. workers can work…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-11-28 Le Merrer Erwan , Liang Yizhong , Trédan Gilles

As relational datasets modeled as graphs keep increasing in size and their data-acquisition is permeated by uncertainty, graph-based analysis techniques can become computationally and conceptually challenging. In particular, node centrality…

Social and Information Networks · Computer Science 2020-03-10 Marco Avella-Medina , Francesca Parise , Michael T. Schaub , Santiago Segarra

A $k$-truss is an edge-induced subgraph $H$ such that each of its edges belongs to at least $k-2$ triangles of $H$. This notion has been introduced around ten years ago in social network analysis and security, as a form of cohesive subgraph…

Data Structures and Algorithms · Computer Science 2020-10-05 Alessio Conte , Roberto Grossi , Andrea Marino , Luca Versari

A hedge graph is a graph whose edge set has been partitioned into groups called hedges. Here we consider a generalization of the well-known \textsc{Cluster Deletion} problem, named \textsc{Hedge Cluster Deletion}. The task is to compute the…

Data Structures and Algorithms · Computer Science 2025-12-05 Athanasios L. Konstantinidis , Charis Papadopoulos , Georgios Velissaris

Network centrality plays an important role in many applications. Central nodes in social networks can be influential, driving opinions and spreading news or rumors.In hyperlinked environments, such as the Web, where users navigate via…

Social and Information Networks · Computer Science 2017-10-11 Sourav Medya , Arlei Silva , Ambuj Singh , Prithwish Basu , Ananthram Swami

Finding a maximum-weight matching is a classical and well-studied problem in computer science, solvable in cubic time in general graphs. We consider the specialization called assignment problem where the input is a bipartite graph, and…

Data Structures and Algorithms · Computer Science 2024-10-15 Romaric Duvignau , Noël Gillet , Ralf Klasing

Initially designed to predict and explain the economic trajectories of countries, cities, and regions, economic complexity has been found applicable in diverse contexts such as ecology and chess openings. The success of economic complexity…

Physics and Society · Physics 2024-05-08 Vito D. P. Servedio , Alessandro Bellina , Emanuele Calò , Giordano De Marzo

Betweenness is a measure of the centrality of a node in a network, and is normally calculated as the fraction of shortest paths between node pairs that pass through the node of interest. Betweenness is, in some sense, a measure of the…

Statistical Mechanics · Physics 2007-05-23 M. E. J. Newman

With the increasing reliance of users on smart devices, bringing essential computation at the edge has become a crucial requirement for any type of business. Many such computations utilize Convolution Neural Networks (CNNs) to perform AI…

Machine Learning · Computer Science 2022-01-17 Tanmay Jain , Avaneesh , Rohit Verma , Rajeev Shorey

We formulate in this paper the mini-bucket algorithm for approximate inference in terms of exact inference on an approximate model produced by splitting nodes in a Bayesian network. The new formulation leads to a number of theoretical and…

Artificial Intelligence · Computer Science 2012-06-26 Arthur Choi , Mark Chavira , Adnan Darwiche

Finding dense substructures in a graph is a fundamental graph mining operation, with applications in bioinformatics, social networks, and visualization to name a few. Yet most standard formulations of this problem (like clique, quasiclique,…

Social and Information Networks · Computer Science 2015-03-10 Ahmet Erdem Sariyuce , C. Seshadhri , Ali Pinar , Umit V. Catalyurek

The centrality of a vertex v in a network intuitively captures how important v is for communication in the network. The task of improving the centrality of a vertex has many applications, as a higher centrality often implies a larger impact…

Discrete Mathematics · Computer Science 2017-10-05 Clemens Hoffmann , Hendrik Molter , Manuel Sorge

The Bandwidth Problem seeks for a simultaneous permutation of the rows and columns of the adjacency matrix of a graph such that all nonzero entries are as close as possible to the main diagonal. This work focuses on investigating novel…

Optimization and Control · Mathematics 2021-07-07 Franz Rendl , Renata Sotirov , Christian Truden

Spanning Centrality is a measure used in network analysis to determine the importance of an edge in a graph based on its contribution to the connectivity of the entire network. Specifically, it quantifies how critical an edge is in terms of…

Social and Information Networks · Computer Science 2025-03-25 Gökhan Göktürk , Kamer Kaya

Edge inference has become more widespread, as its diverse applications range from retail to wearable technology. Clusters of networked resource-constrained edge devices are becoming common, yet no system exists to split a DNN across these…

Networking and Internet Architecture · Computer Science 2022-10-25 Arjun Parthasarathy , Bhaskar Krishnamachari

Betweenness centrality (BC) was proposed as an indicator of the extent of an individual's influence in a social network. It is measured by counting how many times a vertex (i.e., an individual) appears on all the shortest paths between…

Physics and Society · Physics 2021-06-23 Jongshin Lee , Yongsun Lee , Soo Min Oh , B. Kahng