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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

We revisit the classic problem of dynamically maintaining shortest paths between all pairs of nodes of a directed weighted graph. The allowed updates are insertions and deletions of nodes and their incident edges. We give worst-case…

Data Structures and Algorithms · Computer Science 2018-03-02 Ittai Abraham , Shiri Chechik , Sebastian Krinninger

Graph Neural Networks (GNNs) are recognized as potent tools for processing real-world data organized in graph structures. Especially inductive GNNs, which allow for the processing of graph-structured data without relying on predefined graph…

Machine Learning · Computer Science 2024-11-21 Marcin Podhajski , Jan Dubiński , Franziska Boenisch , Adam Dziedzic , Agnieszka Pregowska , Tomasz P. Michalak

In this paper, we study the robustness of graph convolutional networks (GCNs). Previous work have shown that GCNs are vulnerable to adversarial perturbation on adjacency or feature matrices of existing nodes; however, such attacks are…

Machine Learning · Computer Science 2020-09-07 Xiaoyun Wang , Minhao Cheng , Joe Eaton , Cho-Jui Hsieh , Felix Wu

We study a large family of graph covering problems, whose definitions rely on distances, for graphs of bounded cyclomatic number (that is, the minimum number of edges that need to be removed from the graph to destroy all cycles). These…

Discrete Mathematics · Computer Science 2025-09-03 Dibyayan Chakraborty , Florent Foucaud , Anni Hakanen

For a hereditary graph class $\mathcal{H}$, the $\mathcal{H}$-elimination distance of a graph $G$ is the minimum number of rounds needed to reduce $G$ to a member of $\mathcal{H}$ by removing one vertex from each connected component in each…

Data Structures and Algorithms · Computer Science 2021-06-09 Bart M. P. Jansen , Jari J. H. de Kroon

Graph analytics attract much attention from both research and industry communities. Due to the linear time complexity, the $k$-core decomposition is widely used in many real-world applications such as biology, social networks, community…

Databases · Computer Science 2022-01-19 Bin Guo , Emil Sekerinski

Graph Neural Networks (GNNs) have boosted the performance for many graph-related tasks. Despite the great success, recent studies have shown that GNNs are highly vulnerable to adversarial attacks, where adversaries can mislead the GNNs'…

Machine Learning · Computer Science 2022-11-23 Wenqi Fan , Wei Jin , Xiaorui Liu , Han Xu , Xianfeng Tang , Suhang Wang , Qing Li , Jiliang Tang , Jianping Wang , Charu Aggarwal

Attack graphs are commonly used to analyse the security of medium-sized to large networks. Based on a scan of the network and likelihood information of vulnerabilities, attack graphs can be transformed into Bayesian Attack Graphs (BAGs).…

Cryptography and Security · Computer Science 2021-03-18 Isaac Matthews , John Mace , Sadegh Soudjani , Aad van Moorsel

Computing efficiently a robust measure of similarity or dissimilarity between graphs is a major challenge in Pattern Recognition. The Graph Edit Distance (GED) is a flexible measure of dissimilarity between graphs which arises in…

Data Structures and Algorithms · Computer Science 2015-12-24 Sébastien Bougleux , Luc Brun , Vincenzo Carletti , Pasquale Foggia , Benoit Gaüzère , Mario Vento

An important tool in analyzing complex social and information networks is s-t simple path counting, which is known to be #P-complete. In this paper, we study efficient s-t simple path counting in directed graphs. For a given pair of…

Social and Information Networks · Computer Science 2022-07-01 Mostafa Haghir Chehreghani

In the Directed Long Cycle Hitting Set} problem we are given a directed graph $G$, and the task is to find a set $S$ of at most $k$ vertices/arcs such that $G-S$ has no cycle of length longer than $\ell$. We show that the problem can be…

Data Structures and Algorithms · Computer Science 2020-03-12 Alexander Göke , Dániel Marx , Matthias Mnich

In this paper we show a new algorithm for the decremental single-source reachability problem in directed planar graphs. It processes any sequence of edge deletions in $O(n\log^2{n}\log\log{n})$ total time and explicitly maintains the set of…

Data Structures and Algorithms · Computer Science 2017-06-01 Giuseppe F. Italiano , Adam Karczmarz , Jakub Łącki , Piotr Sankowski

Detecting malicious activity within an enterprise computer network can be framed as a temporal link prediction task: given a sequence of graphs representing communications between hosts over time, the goal is to predict which edges…

Cryptography and Security · Computer Science 2023-03-29 Corentin Larroche

With the great popularity of Graph Neural Networks (GNNs), their robustness to adversarial topology attacks has received significant attention. Although many attack methods have been proposed, they mainly focus on fixed-budget attacks,…

Artificial Intelligence · Computer Science 2024-03-06 Mengmei Zhang , Xiao Wang , Chuan Shi , Lingjuan Lyu , Tianchi Yang , Junping Du

The growing complexity of modern Cyber-Physical Systems (CPS) and the frequent communication between their components make them vulnerable to malicious attacks. As a result, secure state estimation is a critical requirement for the control…

Optimization and Control · Mathematics 2020-10-09 Xusheng Luo , Miroslav Pajic , Michael M. Zavlanos

We consider the testing and estimation of change-points -- locations where the distribution abruptly changes -- in a data sequence. A new approach, based on scan statistics utilizing graphs representing the similarity between observations,…

Methodology · Statistics 2015-02-18 Hao Chen , Nancy Zhang

We present an improved algorithm for computing the $4$-edge-connected components of an undirected graph in linear time. The new algorithm uses only elementary data structures, and it is simple to describe and to implement in the pointer…

Data Structures and Algorithms · Computer Science 2021-08-20 Loukas Georgiadis , Giuseppe F. Italiano , Evangelos Kosinas

Graph edge perturbations are dedicated to damaging the prediction of graph neural networks by modifying the graph structure. Previous gray-box attackers employ gradients from the surrogate model to locate the vulnerable edges to perturb the…

Cryptography and Security · Computer Science 2022-09-12 Zihan Liu , Yun Luo , Lirong Wu , Siyuan Li , Zicheng Liu , Stan Z. Li

This paper is concerned with the analysis and design of secure Distributed Control Systems in the face of integrity attacks on sensors and controllers by external attackers or insiders. In general a DCS consists of many heterogenous…

Systems and Control · Computer Science 2015-10-19 Sean Weerakkody , Xiaofei Liu , Sang H. Son , Bruno Sinopoli