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Even though power-law or close-to-power-law degree distributions are ubiquitously observed in a great variety of large real networks, the mathematically satisfactory treatment of random power-law graphs satisfying basic statistical…

Probability · Mathematics 2023-11-09 Pim van der Hoorn , Gabor Lippner , Dmitri Krioukov

In this paper the web is analyzed as a graph aggregated by host and pay-level domain (PLD). The web graph datasets, publicly available, have been released by the Common Crawl Foundation and are based on a web crawl performed during the…

Social and Information Networks · Computer Science 2019-03-13 Agostino Funel

Publishing graph data is widely desired to enable a variety of structural analyses and downstream tasks. However, it also potentially poses severe privacy leakage, as attackers may leverage the released graph data to launch attacks and…

Cryptography and Security · Computer Science 2025-07-31 Yucheng Wu , Yuncong Yang , Xiao Han , Leye Wang , Junjie Wu

We live in a world increasingly dominated by networks -- communications, social, information, biological etc. A central attribute of many of these networks is that they are dynamic, that is, they exhibit structural changes over time. While…

Networking and Internet Architecture · Computer Science 2010-12-02 Prithwish Basu , Amotz Bar-Noy , Ram Ramanathan , Matthew P. Johnson

We consider a the minimum k-way cut problem for unweighted graphs with a size bound s on the number of cut edges allowed. Thus we seek to remove as few edges as possible so as to split a graph into k components, or report that this requires…

Discrete Mathematics · Computer Science 2011-01-27 Ken-ichi Kawarabayashi , Mikkel Thorup

We prove that given any $\alpha$-approximation LOCAL algorithm for Minimum Dominating Set (MDS) on planar graphs, we can construct an $f(g)$-round $(3\alpha+1)$-approximation LOCAL algorithm for MDS on graphs embeddable in a given Euler…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-20 Marthe Bonamy , Avinandan Das , Cyril Gavoille , Timothé Picavet , Jukka Suomela , Alexandra Wesolek

Deep learning methods for graphs achieve remarkable performance across a variety of domains. However, recent findings indicate that small, unnoticeable perturbations of graph structure can catastrophically reduce performance of even the…

Machine Learning · Computer Science 2020-10-29 Xiang Zhang , Marinka Zitnik

We consider the problem of aggregating data in a dynamic graph, that is, aggregating the data that originates from all nodes in the graph to a specific node, the sink. We are interested in giving lower bounds for this problem, under…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-10-10 Quentin Bramas , Toshimitsu Masuzawa , Sébastien Tixeuil

How might one "reduce" a graph? That is, generate a smaller graph that preserves the global structure at the expense of discarding local details? There has been extensive work on both graph sparsification (removing edges) and graph…

Discrete Mathematics · Computer Science 2020-02-18 Gecia Bravo-Hermsdorff , Lee M. Gunderson

Detailed network models of social, biological and other complex systems are often dense, which increases their computational complexity in simulations and analysis. To address this challenge, graph sparsification is used to remove edges…

Physics and Society · Physics 2026-03-19 Bernardo Pereira , Felipe Xavier Costa , Luís M. Rocha

Graph-based classification methods are widely used for security and privacy analytics. Roughly speaking, graph-based classification methods include collective classification and graph neural network. Evading a graph-based classification…

Cryptography and Security · Computer Science 2019-08-14 Binghui Wang , Neil Zhenqiang Gong

In the classic online graph balancing problem, edges arrive sequentially and must be oriented immediately upon arrival, to minimize the maximum in-degree. For adversarial arrivals, the natural greedy algorithm is $O(\log n)$-competitive,…

Data Structures and Algorithms · Computer Science 2026-04-07 Nikhil Bansal , Milind Prabhu , Sahil Singla , Siddharth M. Sundaram

Social graphs derived from online social interactions contain a wealth of information that is nowadays extensively used by both industry and academia. However, as social graphs contain sensitive information, they need to be properly…

Cryptography and Security · Computer Science 2019-12-03 Yang Zhang , Mathias Humbert , Bartlomiej Surma , Praveen Manoharan , Jilles Vreeken , Michael Backes

Graphs are widely used in various fields of computer science. They have also found application in unrelated areas, leading to a diverse range of problems. These problems can be modeled as relationships between entities in various contexts,…

Data Structures and Algorithms · Computer Science 2024-05-20 Davide Rucci

Preservers and additive spanners are sparse (hence cheap to store) subgraphs that preserve the distances between given pairs of nodes exactly or with some small additive error, respectively. Since real-world networks are prone to failures,…

Data Structures and Algorithms · Computer Science 2017-03-31 Greg Bodwin , Fabrizio Grandoni , Merav Parter , Virginia Vassilevska Williams

Cybersecurity is an issue of increasing concern since the events of September 11th. Many questions have been raised concerning the security of the Internet and the rest of the US's information infrastructure. This paper begins to examine…

Disordered Systems and Neural Networks · Physics 2007-05-23 Sean P. Gorman , Rajendra G. Kulkarni , Laurie A. Schintler , Roger R. Stough

The normal operation of power system relies on accurate state estimation that faithfully reflects the physical aspects of the electrical power grids. However, recent research shows that carefully synthesized false-data injection attacks can…

Other Computer Science · Computer Science 2014-04-10 Suzhi Bi , Ying Jun , Zhang

Many applications, including provenance and some analyses of social networks, require path-based queries over graph-structured data. When these graphs contain sensitive information, paths may be broken, resulting in uninformative query…

Social and Information Networks · Computer Science 2011-06-20 Barbara Blaustein , Adriane Chapman , Len Seligman , M. David Allen , Arnon Rosenthal

The Watts-Strogatz model (WS) has been demonstrated to effectively describe real-world networks due to its ability to reproduce the small-world properties commonly observed in a variety of systems, including social networks, computer…

Social and Information Networks · Computer Science 2023-05-24 Joao V. Merenda , Odemir M. Bruno

Graphs are a natural representation of data from various contexts, such as social connections, the web, road networks, and many more. In the last decades, many of these networks have become enormous, requiring efficient algorithms to cut…

Data Structures and Algorithms · Computer Science 2021-08-11 Alexander Noe