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Depth first search (DFS) tree is a fundamental data structure for solving various problems in graphs. It is well known that it takes $O(m+n)$ time to build a DFS tree for a given undirected graph $G=(V,E)$ on $n$ vertices and $m$ edges. We…

Data Structures and Algorithms · Computer Science 2018-02-08 Surender Baswana , Shreejit Ray Chaudhury , Keerti Choudhary , Shahbaz Khan

We study the fault-tolerant variant of the online bin packing problem. Similar to the classic bin packing problem, an online sequence of items of various sizes should be packed into a minimum number of bins of uniform capacity. For…

Data Structures and Algorithms · Computer Science 2021-07-08 Shahin Kamali , Pooya Nikbakht

Byzantine fault-tolerant (BFT) protocols allow a group of replicas to come to a consensus even when some of the replicas are Byzantine faulty. There exist multiple BFT protocols to securely tolerate an optimal number of faults $t$ under…

Cryptography and Security · Computer Science 2021-11-09 Peiyao Sheng , Gerui Wang , Kartik Nayak , Sreeram Kannan , Pramod Viswanath

This paper studies binary hypothesis testing based on measurements from a set of sensors, a subset of which can be compromised by an attacker. The measurements from a compromised sensor can be manipulated arbitrarily by the adversary. The…

Information Theory · Computer Science 2018-01-22 Xiaoqiang Ren , Jiaqi Yan , Yilin Mo

In Bayesian Networks (BNs), the direction of edges is crucial for causal reasoning and inference. However, Markov equivalence class considerations mean it is not always possible to establish edge orientations, which is why many BN structure…

Machine Learning · Computer Science 2022-10-19 Kiattikun Chobtham , Anthony C. Constantinou , Neville K. Kitson

It is crucial for maintaining the security of supply that transmission networks continue to operate even if a single line fails. Modeling $\mathcal{N} - 1$ security in power system capacity expansion problems introduces many extra…

Physics and Society · Physics 2022-11-03 Amin Shokri Gazafroudi , Fabian Neumann , Tom Brown

Error tolerance and attack vulnerability are two common and important properties of complex networks, which are usually used to evaluate the robustness of a network. Recently, much work has been devoted to determining the network design…

Networking and Internet Architecture · Computer Science 2015-05-13 Jichang Zhao , Ke Xu

The Fixed-Charge Network Flow problem is a well-studied NP-hard problem that has the goal of finding a flow in a network where fixed edge costs are incurred, regardless of the amount of flow hosted by the edge. In this paper, we consider…

Data Structures and Algorithms · Computer Science 2024-07-30 Daniel Olson , Caleb Eardley , Sean Yaw

Byzantine Fault Tolerant (BFT) consensus forms the foundation of many modern blockchains striving for both high throughput and low latency. A growing bottleneck is transaction execution and validation on the critical path of consensus,…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-25 Ignacio Amores-Sesar , Mirza Ahad Baig , Seth Gilbert , Ray Neiheiser , Michelle X. Yeo

In large scale distributed storage systems (DSS) deployed in cloud computing, correlated failures resulting in simultaneous failure (or, unavailability) of blocks of nodes are common. In such scenarios, the stored data or a content of a…

Information Theory · Computer Science 2017-02-22 Gokhan Calis , O. Ozan Koyluoglu

The energy transition is causing many stability-related challenges for power systems. Transient stability refers to the ability of a power grid's bus angles to retain synchronism after the occurrence of a major fault. In this paper a…

Optimization and Control · Mathematics 2021-01-12 Tim Aschenbruck , Willem Esterhuizen , Stefan Streif

The preventative strategies for $N-1$ network security dominant in European networks mean that network capacity is kept free in case a line fails. If instead fast corrective actions are used to overcome network overloading when single lines…

Systems and Control · Electrical Eng. & Systems 2022-05-17 Amin Shokri Gazafroudi , Elisabeth Zeyen , Martha Frysztacki , Fabian Neumann , Tom Brown

The trade-off between clean accuracy and adversarial robustness is a pervasive phenomenon in deep learning, yet its geometric origin remains elusive. In this work, we utilize Symmetry-Breaking Dimensional Expansion (SBDE) as a controlled…

Machine Learning · Computer Science 2026-02-23 Yu Bai , Zhe Wang , Jiarui Zhang , Dong-Xiao Zhang , Yinjun Gao , Jun-Jie Zhang

Recent studies of attacks on complex networks suggest that small initial breakdowns can lead to global cascades of overload failures in communication, economic trading, and supply-transportation systems, considering the defense methods is…

Disordered Systems and Neural Networks · Physics 2007-05-23 Yukio Hayashi , Toshiyuki Miyazaki

This paper presents a quantitative comparison of power grid reinforcement strategies. We evaluate three approaches: (1) doubling transmission links (bridges) between different communities, (2) adding bypasses around weakly synchronized…

Disordered Systems and Neural Networks · Physics 2025-03-10 Bálint Hartmann , Géza Ódor , Kristóf Benedek , István Papp , Michelle T. Cirunay

The optimal tradeoff between node storage and repair bandwidth is an important issue for distributed storage systems (DSSs). As for realistic DSSs with clusters, when repairing a failed node, it is more efficient to download more data from…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-01-08 Jingzhao Wang , Tinghan Wang , Yuan Luo

In this paper we study the problem of how resilient networks are to node faults. Specifically, we investigate the question of how many faults a network can sustain so that it still contains a large (i.e. linear-sized) connected component…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-09-01 Amitabha Bagchi , Ankur Bhargava , Amitabh Chaudhary , David Eppstein , Christian Scheideler

We conducted the feasibility analysis of utilizing a highly available multi-stage architecture for TSN switches used for sending high priority, mission-critical traffic within a bounded latency instead of traditional single-stage…

Networking and Internet Architecture · Computer Science 2022-09-26 Adnan Ghaderi , Rahul Nandkumar Gore

We propose a novel capacity model for complex networks against cascading failure. In this model, vertices with both higher loads and larger degrees should be paid more extra capacities, i.e. the allocation of extra capacity on vertex $i$…

Physics and Society · Physics 2008-04-03 Ping Li , Bing-Hong Wang , Han Sun , Pan Gao , Tao Zhou

Network robustness against attacks is one of the most fundamental researches in network science as it is closely associated with the reliability and functionality of various networking paradigms. However, despite the study on intrinsic…

Social and Information Networks · Computer Science 2015-06-23 Pin-Yu Chen , Shin-Ming Cheng