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The success of graph neural networks stimulates the prosperity of graph mining and the corresponding downstream tasks including graph anomaly detection (GAD). However, it has been explored that those graph mining methods are vulnerable to…

Cryptography and Security · Computer Science 2023-07-18 Yulin Zhu , Yuni Lai , Kaifa Zhao , Xiapu Luo , Mingquan Yuan , Jun Wu , Jian Ren , Kai Zhou

Text-attributed graphs (TAGs) integrate textual data with graph structures, providing valuable insights in applications such as social network analysis and recommendation systems. Graph Neural Networks (GNNs) effectively capture both…

Artificial Intelligence · Computer Science 2025-06-17 Yuefei Lyu , Chaozhuo Li , Xi Zhang , Tianle Zhang

Local pseudorandom generators are a class of fundamental cryptographic primitives having very broad applications in theoretical cryptography. Following Couteau et al.'s work in ASIACRYPT 2018, this paper further studies the concrete…

Cryptography and Security · Computer Science 2021-03-05 Jing Yang , Qian Guo , Thomas Johansson , Michael Lentmaier

The study of the trapdoors that can be hidden in a block cipher is and has always been a high-interest topic in symmetric cryptography. In this paper we focus on Feistel-network-like ciphers in a classical long-key scenario and we…

Group Theory · Mathematics 2022-05-25 Riccardo Aragona , Marco Calderini , Roberto Civino

Community detection plays an important role in social networks, since it can help to naturally divide the network into smaller parts so as to simplify network analysis. However, on the other hand, it arises the concern that individual…

Social and Information Networks · Computer Science 2019-05-07 Jinyin Chen , Lihong Chen , Yixian Chen , Minghao Zhao , Shanqing Yu , Qi Xuan , Xiaoniu Yang

In a random key graph (RKG) of $n$ nodes each node is randomly assigned a key ring of $K_n$ cryptographic keys from a pool of $P_n$ keys. Two nodes can communicate directly if they have at least one common key in their key rings. We assume…

Information Theory · Computer Science 2013-05-03 B. Santhana Krishnan , Ayalvadi Ganesh , D. Manjunath

The conjugacy search problem in a group G is the problem of recovering an x in G from given g in G and h=x^{-1}gx. This problem is in the core of several recently suggested public key exchange protocols, most notably the one due to Anshel,…

Group Theory · Mathematics 2016-09-07 Vladimir Shpilrain , Alexander Ushakov

A quantum graph $\mathcal{G}$ housed by a matrix algebra $M_n$ can be encoded as an operator system $\mathcal S=\mathcal{S}_{\mathcal{G}}\le M_n$. There are two sensible notions of quantum automorphism group for any such:…

Quantum Algebra · Mathematics 2025-11-18 Alexandru Chirvasitu , Piotr M. Sołtan , Mateusz Wasilewski

Different scaling properties for the complexity of bidirectional synchronization and unidirectional learning are essential for the security of neural cryptography. Incrementing the synaptic depth of the networks increases the…

Disordered Systems and Neural Networks · Physics 2007-05-23 Andreas Ruttor , Wolfgang Kinzel , Rivka Naeh , Ido Kanter

The goal of quantum key distribution (QKD) is to establish a secure key between two parties connected by an insecure quantum channel. To use a QKD protocol in practice, one has to prove that a finite size key is secure against general…

Quantum Physics · Physics 2023-11-21 Tony Metger , Renato Renner

An approach to generate the pseudorandom-bit sequence from the asymptotic deterministic randomness system is proposed in this Letter. We study the characteristic of multi-value correspondence of the asymptotic deterministic randomness…

Chaotic Dynamics · Physics 2009-11-13 Kai Wang , Wenjiang Pei , Haishan Xia , Yiu-ming Cheung

The main component of (constructive) recognition algorithms for black box groups of Lie type in computational group theory is the construction of unipotent elements. In the existing algorithms unipotent elements are found by random search…

Group Theory · Mathematics 2013-02-14 Alexandre Borovik , Sukru Yalcinkaya

Recently, several cryptosystems have been proposed based semidirect products of various algebraic structures. Efficient attacks against several of them have already been given, along with a very general attack. The purpose of this note is…

Cryptography and Security · Computer Science 2021-09-24 Chris Monico

A random algebraic graph is defined by a group $G$ with a uniform distribution over it and a connection $\sigma:G\longrightarrow[0,1]$ with expectation $p,$ satisfying $\sigma(g)=\sigma(g^{-1}).$ The random graph…

Probability · Mathematics 2023-05-10 Kiril Bangachev , Guy Bresler

We study vulnerability of a uniformly distributed random graph to an attack by an adversary who aims for a global change of the distribution while being able to make only a local change in the graph. We call a graph property $A$…

Discrete Mathematics · Computer Science 2023-04-11 Sergei Kiselev , Andrey Kupavskii , Oleg Verbitsky , Maksim Zhukovskii

Cloud-based and distributed computations are of growing interest in modern control systems. However, these technologies require performing computations on not necessarily trustworthy platforms and, thus, put the confidentiality of sensitive…

Cryptography and Security · Computer Science 2023-04-14 Nils Schlüter , Philipp Binfet , Moritz Schulze Darup

Real-world networks, like social networks or the internet infrastructure, have structural properties such as large clustering coefficients that can best be described in terms of an underlying geometry. This is why the focus of the…

Social and Information Networks · Computer Science 2017-05-10 Karl Bringmann , Ralph Keusch , Johannes Lengler

Retrieval-augmented generation (RAG) systems are vulnerable to attacks that inject poisoned passages into the retrieved context, even at low corruption rates. We show that existing attacks are not designed to be stealthy, allowing reliable…

Cryptography and Security · Computer Science 2026-05-25 Sarthak Choudhary , Nils Palumbo , Ashish Hooda , Krishnamurthy Dj Dvijotham , Somesh Jha

We develop and study new adversarial perturbations that enable an attacker to gain control over decisions in generic Artificial Intelligence (AI) systems including deep learning neural networks. In contrast to adversarial data modification,…

Cryptography and Security · Computer Science 2023-12-07 Ivan Y. Tyukin , Desmond J. Higham , Alexander Bastounis , Eliyas Woldegeorgis , Alexander N. Gorban

In order to prevent the disclosure of privacy-sensitive data, such as names and relations between users, social network graphs have to be anonymised before publication. Naive anonymisation of social network graphs often consists in deleting…

Social and Information Networks · Computer Science 2019-09-04 Sjouke Mauw , Yunior Ramírez-Cruz , Rolando Trujillo-Rasua