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The statistical significance of network properties is conditioned on null models which satisfy spec- ified properties but that are otherwise random. Exponential random graph models are a principled theoretical framework to generate such…

Physics and Society · Physics 2015-11-18 Rico Fischer , Jorge C. Leitao , Tiago P. Peixoto , Eduardo G. Altmann

A bipartite graph extensively models relationships between real-world entities of two different types, such as user-product data in e-commerce. Such graph data are inherently becoming more and more streaming, entailing continuous insertions…

Databases · Computer Science 2023-12-07 Serafeim Papadias , Zoi Kaoudi , Varun Pandey , Jorge-Arnulfo Quiane-Ruiz , Volker Markl

The number of triangles in a graph is useful to deduce a plethora of important features of the network that the graph is modeling. However, finding the exact value of this number is computationally expensive. Hence, a number of…

Data Structures and Algorithms · Computer Science 2017-10-30 Duru Türkoğlu , Ata Turk

A temporal graph can be represented by a graph with an edge labelling, such that an edge is present in the network if and only if the edge is assigned the corresponding time label. A journey is a labelled path in a temporal graph such that…

Computational Complexity · Computer Science 2023-12-13 Esteban Christiann , Eric Sanlaville , Jason Schoeters

Time series play a fundamental role in many domains, capturing a plethora of information about the underlying data-generating processes. When a process generates multiple synchronized signals we are faced with multidimensional time series.…

Data Structures and Algorithms · Computer Science 2026-03-20 Matteo Ceccarello , Francesco Pio Monaco , Francesco Silvestri

We study the problem of estimating the value of sums of the form $S_p \triangleq \sum \binom{x_i}{p}$ when one has the ability to sample $x_i \geq 0$ with probability proportional to its magnitude. When $p=2$, this problem is equivalent to…

Data Structures and Algorithms · Computer Science 2016-01-19 Maryam Aliakbarpour , Amartya Shankha Biswas , Themistoklis Gouleakis , John Peebles , Ronitt Rubinfeld , Anak Yodpinyanee

Studying the topology of so-called {\em real networks}, that is networks obtained from sociological or biological data for instance, has become a major field of interest in the last decade. One way to deal with it is to consider that…

Applications · Statistics 2010-11-23 Etienne Birmele

Analysis and anomaly detection in event tensor streams consisting of timestamps and multiple attributes - such as communication logs(time, IP address, packet length)- are essential tasks in data mining. While existing tensor decomposition…

Machine Learning · Computer Science 2026-02-06 Soshi Kakio , Yasuko Matsubara , Ren Fujiwara , Yasushi Sakurai

Several classical combinatorial problems have been considered and analysed on temporal graphs. Recently, a variant of Vertex Cover on temporal graphs, called MinTimelineCover, has been introduced to summarize timeline activities in social…

Data Structures and Algorithms · Computer Science 2023-07-04 Riccardo Dondi , Manuel Lafond

As the popularity of graph data increases, there is a growing need to count the occurrences of subgraph patterns of interest, for a variety of applications. Many graphs are massive in scale and also fully dynamic (with insertions and…

Databases · Computer Science 2022-11-15 Kaixin Wang , Cheng Long , Da Yan , Jie Zhang , H. V. Jagadish

Spreading processes on graphs arise in a host of application domains, from the study of online social networks to viral marketing to epidemiology. Various discrete-time probabilistic models for spreading processes have been proposed. These…

Social and Information Networks · Computer Science 2021-09-24 Abram Magner , Carolyn Kaminski , Petko Bogdanov

Temporal graphs represent graph evolution over time, and have been receiving considerable research attention. Work on expressing temporal graph patterns or discovering temporal motifs typically assumes relatively simple temporal…

Databases · Computer Science 2022-05-31 Amir Pouya Aghasadeghi , Jan Van den Bussche , Julia Stoyanovich

As networks continue to increase in size, current methods must be capable of handling large numbers of nodes and edges in order to be practically relevant. Instead of working directly with the entire (large) network, analyzing sub-networks…

Social and Information Networks · Computer Science 2025-04-03 Eric Yanchenko

Real-time analysis of graphs containing temporal information, such as social media streams, Q&A networks, and cyber data sources, plays an important role in various applications. Among them, detecting patterns is one of the fundamental…

Databases · Computer Science 2023-12-19 Seunghwan Min , Jihoon Jang , Kunsoo Park , Dora Giammarresi , Giuseppe F. Italiano , Wook-Shin Han

We study how we can accelerate the spreading of information in temporal graphs via shifting operations; a problem that captures real-world applications varying from information flows to distribution schedules. In a temporal graph there is a…

Data Structures and Algorithms · Computer Science 2025-10-09 Argyrios Deligkas , Eduard Eiben , George Skretas

Modularity is a very widely used measure of the level of clustering or community structure in networks. Here we consider a recent generalisation of the definition of modularity to temporal graphs, whose edge-sets change over discrete…

Combinatorics · Mathematics 2025-07-24 Vilhelm Agdur , Jessica Enright , Laura Larios-Jones , Kitty Meeks , Fiona Skerman , Ella Yates

The assumption of using a static graph to represent multivariate time-varying signals oversimplifies the complexity of modeling their interactions over time. We propose a Dynamic Multi-hop model that captures dynamic interactions among…

Signal Processing · Electrical Eng. & Systems 2024-11-26 Yi Yan , Fengfan Zhao , Ercan Engin Kuruoglu

Exploring small connected and induced subgraph patterns (CIS patterns, or graphlets) has recently attracted considerable attention. Despite recent efforts on computing the number of instances a specific graphlet appears in a large graph…

Social and Information Networks · Computer Science 2016-05-02 Pinghui Wang , Xiangliang Zhang , Zhenguo Li , Jiefeng Cheng , John C. S. Lui , Don Towsley , Junzhou Zhao , Jing Tao , Xiaohong Guan

Mapping the Internet generally consists in sampling the network from a limited set of sources by using traceroute-like probes. This methodology, akin to the merging of different spanning trees to a set of destination, has been argued to…

Networking and Internet Architecture · Computer Science 2011-11-09 Luca Dall'Asta , Ignacio Alvarez-Hamelin , Alain Barrat , Alexei Vazquez , Alessandro Vespignani

Mapping the Internet generally consists in sampling the network from a limited set of sources by using "traceroute"-like probes. This methodology, akin to the merging of different spanning trees to a set of destinations, has been argued to…

Statistical Mechanics · Physics 2007-05-23 Luca Dall'Asta , Ignacio Alvarez-Hamelin , Alain Barrat , Alexei Vazquez , Alessandro Vespignani