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We present a structural clustering algorithm for large-scale datasets of small labeled graphs, utilizing a frequent subgraph sampling strategy. A set of representatives provides an intuitive description of each cluster, supports the…

Databases · Computer Science 2016-10-03 Till Schäfer , Petra Mutzel

A temporal graph is a graph in which the edge set can change from one time step to the next. The temporal graph exploration problem TEXP is the problem of computing a foremost exploration schedule for a temporal graph, i.e., a temporal walk…

Data Structures and Algorithms · Computer Science 2021-03-17 Thomas Erlebach , Michael Hoffmann , Frank Kammer

The aim of this chapter is to give an overview of the recent advances related to sampling and recovery of signals defined over graphs. First, we illustrate the conditions for perfect recovery of bandlimited graph signals from samples…

Signal Processing · Electrical Eng. & Systems 2017-12-27 P. Di Lorenzo , S. Barbarossa , P. Banelli

Graphs are a fundamental data structure used to represent relationships in domains as diverse as the social sciences, bioinformatics, cybersecurity, the Internet, and more. One of the central observations in network science is that…

Social and Information Networks · Computer Science 2024-07-25 Sabyasachi Basu , Daniel Paul-Pena , Kun Qian , C. Seshadhri , Edward W Huang , Karthik Subbian

The success of Large Language Models (LLMs) in various domains has led researchers to apply them to graph-related problems by converting graph data into natural language text. However, unlike graph data, natural language inherently has…

Machine Learning · Computer Science 2025-02-13 Xu Chu , Hanlin Xue , Zhijie Tan , Bingce Wang , Tong Mo , Weiping Li

Stream graphs model highly dynamic networks in which nodes and/or links arrive and/or leave over time. Strongly connected components in stream graphs were defined recently, but no algorithm was provided to compute them. We present here…

Social and Information Networks · Computer Science 2021-09-03 Léo Rannou , Clémence Magnien , Matthieu Latapy

Considering a clique as a conservative definition of community structure, we examine how graph partitioning algorithms interact with cliques. Many popular community-finding algorithms partition the entire graph into non-overlapping…

Physics and Society · Physics 2012-05-15 Fergal Reid , Aaron McDaid , Neil Hurley

Among all characteristics exhibited by natural and man-made networks the small-world phenomenon is surely the most relevant and popular. But despite its significance, a reliable and comparable quantification of the question `how small is a…

Physics and Society · Physics 2019-11-27 Gorka Zamora-López , Romain Brasselet

Listing all triangles is a fundamental graph operation. Triangles can have important interpretations in real-world graphs, especially social and other interaction networks. Despite the lack of provably efficient (linear, or slightly…

Social and Information Networks · Computer Science 2014-07-07 Jonathan W. Berry , Luke A. Fostvedt , Daniel J. Nordman , Cynthia A. Phillips , C. Seshadhri , Alyson G. Wilson

We study a number of graph exploration problems in the following natural scenario: an algorithm starts exploring an undirected graph from some seed node; the algorithm, for an arbitrary node $v$ that it is aware of, can ask an oracle to…

Data Structures and Algorithms · Computer Science 2017-10-25 Flavio Chierichetti , Shahrzad Haddadan

Treewidth is arguably the most important structural graph parameter leading to algorithmically beneficial graph decompositions. Triggered by a strongly growing interest in temporal networks (graphs where edge sets change over time), we…

Data Structures and Algorithms · Computer Science 2020-04-29 Till Fluschnik , Hendrik Molter , Rolf Niedermeier , Malte Renken , Philipp Zschoche

Time series clustering poses a significant challenge with diverse applications across domains. A prominent drawback of existing solutions lies in their limited interpretability, often confined to presenting users with centroids. In…

Machine Learning · Computer Science 2025-02-19 Paul Boniol , Donato Tiano , Angela Bonifati , Themis Palpanas

The problem of sparsifying a graph or a hypergraph while approximately preserving its cut structure has been extensively studied and has many applications. In a seminal work, Bencz\'ur and Karger (1996) showed that given any $n$-vertex…

Data Structures and Algorithms · Computer Science 2021-06-22 Yu Chen , Sanjeev Khanna , Ansh Nagda

Many networks in real-life typically contain parts in which some nodes are more highly connected to each other than the other nodes of the network. The collection of such nodes are usually called clusters, communities, cohesive groups or…

Distributed, Parallel, and Cluster Computing · Computer Science 2008-06-20 Xiahong Lin , Lin Gao , Kefei Chen , David K. Y. Chiu

Interactions in many real-world phenomena can be explained by a strong hierarchical structure. Typically, this structure or ranking is not known; instead we only have observed outcomes of the interactions, and the goal is to infer the…

Data Structures and Algorithms · Computer Science 2019-04-24 Nikolaj Tatti

Discovering the underlying structures present in large real world graphs is a fundamental scientific problem. In this paper we show that a graph's clique tree can be used to extract a hyperedge replacement grammar. If we store an ordering…

Social and Information Networks · Computer Science 2016-08-11 Salvador Aguiñaga , Rodrigo Palacios , David Chiang , Tim Weninger

We present algorithms and experiments for the visualization of directed graphs that focus on displaying their reachability information. Our algorithms are based on the concepts of the path and channel decomposition as proposed in the…

Data Structures and Algorithms · Computer Science 2019-07-29 Panagiotis Lionakis , Giacomo Ortali , Ioannis G. Tollis

Given an undirected graph $G$, the problem of deciding whether $G$ admits a simple and proper time-labeling that makes it temporally connected is known to be NP-hard (G\"obel et al., 1991). In this article, we relax this problem and ask…

Data Structures and Algorithms · Computer Science 2026-05-06 Arnaud Casteigts , Michelle Döring , Nils Morawietz

This paper presents a contextualized graph attention network that combines edge features and multiple sub-graphs for improving relation extraction. A novel method is proposed to use multiple sub-graphs to learn rich node representations in…

Computation and Language · Computer Science 2020-04-23 Angrosh Mandya , Danushka Bollegala , Frans Coenen

In this paper, we propose an approach for Relationship Extraction (RE) based on labeled graph kernels. The kernel we propose is a particularization of a random walk kernel that exploits two properties previously studied in the RE…

Computation and Language · Computer Science 2013-02-21 Gonçalo Simões , Helena Galhardas , David Matos
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