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The Minimum Coloring Cut Problem is defined as follows: given a connected graph G with colored edges, find an edge cut E' of G (a minimal set of edges whose removal renders the graph disconnected) such that the number of colors used by the…

Data Structures and Algorithms · Computer Science 2017-04-10 Augusto Bordini , Fábio Protti

Backdoor attacks pose a significant security risk to graph learning models. Backdoors can be embedded into the target model by inserting backdoor triggers into the training dataset, causing the model to make incorrect predictions when the…

Cryptography and Security · Computer Science 2023-08-09 Zihan Guan , Mengnan Du , Ninghao Liu

The problem of coding for networks experiencing worst-case symbol errors is considered. We argue that this is a reasonable model for highly dynamic wireless network transmissions. We demonstrate that in this setup prior network…

Information Theory · Computer Science 2015-10-13 Qiwen Wang , Sidharth Jaggi

We study the problem of finding a maximum cardinality minimal separator of a graph. This problem is known to be NP-hard even for bipartite graphs. In this paper, we strengthen this hardness by showing that for planar bipartite graphs, the…

Data Structures and Algorithms · Computer Science 2020-09-28 Tesshu Hanaka , Yasuaki Kobayashi , Yusuke Kobayashi , Tsuyoshi Yagita

In this work, two types of codes such that they both dominate and locate the vertices of a graph are studied. Those codes might be sets of detectors in a network or processors controlling a system whose set of responses should determine a…

Combinatorics · Mathematics 2012-05-11 José Cáceres , Carmen Hernando , Mercè Mora , Ignacio M. Pelayo , María Luz Puertas

Can we use machine learning to compress graph data? The absence of ordering in graphs poses a significant challenge to conventional compression algorithms, limiting their attainable gains as well as their ability to discover relevant…

Machine Learning · Computer Science 2023-09-26 Giorgos Bouritsas , Andreas Loukas , Nikolaos Karalias , Michael M. Bronstein

An accessing set in a graph is a subset B of vertices such that there exists D subset of B, such that each vertex of V\B has an even number of neighbors in D. In this paper, we introduce new bounds on the minimal size kappa'(G) of an…

Computational Complexity · Computer Science 2011-10-05 Sylvain Gravier , Jérôme Javelle , Mehdi Mhalla , Simon Perdrix

Data scarcity hinders the usability of data-dependent algorithms when tackling IoT intrusion detection (IID). To address this, we utilise the data rich network intrusion detection (NID) domain to facilitate more accurate intrusion detection…

Cryptography and Security · Computer Science 2023-01-25 Jiashu Wu , Hao Dai , Yang Wang , Kejiang Ye , Chengzhong Xu

Program or process is an integral part of almost every IT/OT system. Can we trust the identity/ID (e.g., executable name) of the program? To avoid detection, malware may disguise itself using the ID of a legitimate program, and a system…

Cryptography and Security · Computer Science 2019-05-10 Shen Wang , Zhengzhang Chen , Ding Li , Lu-An Tang , Jingchao Ni , Zhichun Li , Junghwan Rhee , Haifeng Chen , Philip S. Yu

Minimal separators in graphs are an important concept in algorithmic graph theory. In particular, many problems that are NP-hard for general graphs are known to become polynomial-time solvable for classes of graphs with a polynomially…

Combinatorics · Mathematics 2019-06-03 Martin Milanič , Nevena Pivač

In this paper we present distributed testing algorithms of graph properties in the CONGEST-model [Censor-Hillel et al. 2016]. We present one-sided error testing algorithms in the general graph model. We first describe a general procedure…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-05-16 Guy Even , Reut Levi , Moti Medina

The graph identification problem consists of discovering the interactions among nodes in a network given their state/feature trajectories. This problem is challenging because the behavior of a node is coupled to all the other nodes by the…

Systems and Control · Electrical Eng. & Systems 2023-10-24 Eduardo Sebastian , Thai Duong , Nikolay Atanasov , Eduardo Montijano , Carlos Sagues

In this paper, we use the concept of colored edge graphs to model homogeneous faults in networks. We then use this model to study the minimum connectivity (and design) requirements of networks for being robust against homogeneous faults…

Discrete Mathematics · Computer Science 2012-07-24 Yongge Wang , Yvo Desmedt

In an undirected graph $G$, a subset $C\subseteq V(G)$ such that $C$ is a dominating set of $G$, and each vertex in $V(G)$ is dominated by a distinct subset of vertices from $C$, is called an identifying code of $G$. The concept of…

Discrete Mathematics · Computer Science 2012-07-02 Florent Foucaud , Ralf Klasing , Adrian Kosowski , André Raspaud

The resilience of Supervisory Control and Data Acquisition (SCADA) systems for electric power networks for certain cyber-attacks is considered. We analyze the vulnerability of the measurement system to false data attack on communicated…

Optimization and Control · Mathematics 2013-02-18 Julien M. Hendrickx , Karl Henrik Johansson , Raphael M. Jungers , Henrik Sandberg , Kin Cheong Sou

This paper studies the problem of detecting anomalous graphs using a machine learning model trained on only normal graphs, which has many applications in molecule, biology, and social network data analysis. We present a self-discriminative…

Machine Learning · Computer Science 2023-10-11 Jinyu Cai , Yunhe Zhang , Jicong Fan

An identifying code in a graph is a subset of vertices having a nonempty and distinct intersection with the closed neighborhood of every vertex. We prove that the infimum density of any identifying code in $S_k$ (an infinite strip of $k$…

Discrete Mathematics · Computer Science 2016-10-18 Minghui Jiang

Knowledge graphs serve as critical resources supporting intelligent systems, but they can be noisy due to imperfect automatic generation processes. Existing approaches to noise detection often rely on external facts, logical rule…

Machine Learning · Computer Science 2025-03-14 Jiaqi Sun , Yujia Zheng , Xinshuai Dong , Haoyue Dai , Kun Zhang

We study coding schemes for error correction in interactive communications. Such interactive coding schemes simulate any $n$-round interactive protocol using $N$ rounds over an adversarial channel that corrupts up to $\rho N$ transmissions.…

Data Structures and Algorithms · Computer Science 2014-04-17 Mohsen Ghaffari , Bernhard Haeupler

Motivated from the theory of quantum error correcting codes, we investigate a combinatorial problem that involves a symmetric $n$-vertices colourable graph and a group of operations (colouring rules) on the graph: find the minimum sequence…

Combinatorics · Mathematics 2014-09-10 German Luna , Samuel Reid , Bianca De Sanctis , Vlad Gheorghiu