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Historically studies of behaviour on networks have focused on the behaviour of individuals (node-based) or on the aggregate behaviour of the entire network. We propose a new method to decompose a temporal network into macroscale components…

Social and Information Networks · Computer Science 2018-08-16 Andrew Mellor

Logistics and transportation networks require a large amount of resources to realize necessary connections between locations and minimizing these resources is a vital aspect of planning research. Since such networks have dynamic connections…

Social and Information Networks · Computer Science 2024-09-02 Argyrios Deligkas , Michelle Döring , Eduard Eiben , Tiger-Lily Goldsmith , George Skretas , Georg Tennigkeit

In this paper we study two natural models of \textit{random temporal} graphs. In the first, the \textit{continuous} model, each edge $e$ is assigned $l_e$ labels, each drawn uniformly at random from $(0,1]$, where the numbers $l_e$ are…

Discrete Mathematics · Computer Science 2026-02-12 Henry Austin , George B. Mertzios , Paul G. Spirakis

We consider the problem of assigning appearing times to the edges of a digraph in order to maximize the (average) temporal reachability between pairs of nodes. Motivated by the application to public transit networks, where edges cannot be…

Discrete Mathematics · Computer Science 2025-01-22 Filippo Brunelli , Pierluigi Crescenzi , Laurent Viennot

Modern, inherently dynamic systems are usually characterized by a network structure, i.e. an underlying graph topology, which is subject to discrete changes over time. Given a static underlying graph $G$, a temporal graph can be represented…

Computational Complexity · Computer Science 2019-08-13 Eleni C. Akrida , George B. Mertzios , Paul G. Spirakis , Viktor Zamaraev

A central problem in graph mining is finding dense subgraphs, with several applications in different fields, a notable example being identifying communities. While a lot of effort has been put on the problem of finding a single dense…

Data Structures and Algorithms · Computer Science 2019-01-31 Riccardo Dondi , Mohammad Mehdi Hosseinzadeh , Giancarlo Mauri , Italo Zoppis

The analysis of temporal networks heavily depends on the analysis of time-respecting paths. However, before being able to model and analyze the time-respecting paths, we have to infer the timescales at which the temporal edges influence…

Physics and Society · Physics 2023-01-30 Luka V. Petrović , Anatol Wegner , Ingo Scholtes

Many real-world networks evolve over time, that is, new contacts appear and old contacts may disappear. They can be modeled as temporal graphs where interactions between vertices (which represent people in the case of social networks) are…

Data Structures and Algorithms · Computer Science 2019-07-29 Matthias Bentert , Anne-Sophie Himmel , Hendrik Molter , Marco Morik , Rolf Niedermeier , René Saitenmacher

We consider a statistical model for the problem of finding subgraphs with specified topology in an otherwise random graph. This task plays an important role in the analysis of social and biological networks. In these types of networks,…

Statistics Theory · Mathematics 2017-10-24 Hamid Javadi , Andrea Montanari

Many real-world applications give rise to large heterogeneous networks where nodes and edges can be of any arbitrary type (e.g., user, web page, location). Special cases of such heterogeneous graphs include homogeneous graphs, bipartite,…

Social and Information Networks · Computer Science 2019-05-14 Ryan A. Rossi , Nesreen K. Ahmed , Aldo Carranza , David Arbour , Anup Rao , Sungchul Kim , Eunyee Koh

Given a stream of graph edges from a dynamic graph, how can we assign anomaly scores to edges and subgraphs in an online manner, for the purpose of detecting unusual behavior, using constant time and memory? For example, in intrusion…

Data Structures and Algorithms · Computer Science 2023-07-18 Siddharth Bhatia , Mohit Wadhwa , Kenji Kawaguchi , Neil Shah , Philip S. Yu , Bryan Hooi

Complex systems frequently exhibit multi-way, rather than pairwise, interactions. These group interactions cannot be faithfully modeled as collections of pairwise interactions using graphs and instead require hypergraphs. However, methods…

Discrete Mathematics · Computer Science 2024-11-25 Jason Niu , Ilya D. Amburg , Sinan G. Aksoy , Ahmet Erdem Sarıyüce

The use of network based approaches to model and analyse large datasets is currently a growing research field. For instance in biology and medicine, networks are used to model interactions among biological molecules as well as relations…

Data Structures and Algorithms · Computer Science 2020-09-04 Pietro Hiram Guzzi , Emanuel Salerno , Giuseppe Tradigo , Pierangelo Veltri

Many systems exhibit complex temporal dynamics due to the presence of different processes taking place simultaneously. An important task in such systems is to extract a simplified view of their time-dependent network of interactions.…

Physics and Society · Physics 2022-05-23 Alexandre Bovet , Jean-Charles Delvenne , Renaud Lambiotte

Exact maximum clique finders have progressed to the point where we can investigate cliques in million-node social and information networks, as well as find strongly connected components in temporal networks. We use one such finder to study…

Social and Information Networks · Computer Science 2012-10-31 Ryan A. Rossi , David F. Gleich , Assefaw H. Gebremedhin , Md. Mostofa Ali Patwary

Graphs naturally appear in several real-world contexts including social networks, the web network, and telecommunication networks. While the analysis and the understanding of graph structures have been a central area of study in algorithm…

Data Structures and Algorithms · Computer Science 2019-09-17 Gramoz Goranci

Many real-world networks describe systems in which interactions decay with the distance between nodes. Examples include systems constrained in real space such as transportation and communication networks, as well as systems constrained in…

Statistical Mechanics · Physics 2009-11-10 Shalev Itzkovitz , Uri Alon

Community search is a well-studied problem which, given a static graph and a query set of vertices, requires to find a cohesive (or dense) subgraph containing the query vertices. In this paper we study the problem of community search in…

Data Structures and Algorithms · Computer Science 2020-11-12 Ioanna Tsalouchidou , Francesco Bonchi , Ricardo Baeza-Yates

While in many graph mining applications it is crucial to handle a stream of updates efficiently in terms of {\em both} time and space, not much was known about achieving such type of algorithm. In this paper we study this issue for a…

Data Structures and Algorithms · Computer Science 2015-09-23 Sayan Bhattacharya , Monika Henzinger , Danupon Nanongkai , Charalampos E. Tsourakakis

In this paper, we extend the classical Color Refinement algorithm for static networks to temporal (undirected and directed) networks. This enables us to design an algorithm to sample synthetic networks that preserves the $d$-hop…

Social and Information Networks · Computer Science 2025-05-23 Felix I. Stamm , Mehdi Naima , Michael T. Schaub