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Steganography is an information hiding technique for covert communication. The core issue in steganography design is the rate-distortion coding problem. Polar codes, which have been proven to achieve the rate-distortion bound for any binary…

Cryptography and Security · Computer Science 2025-06-10 Yujun Ji , Jinsheng Li , Ling Liu , Qi Cao , Tao Dai

Monitoring edge-geodetic sets in a graph are subsets of vertices such that every edge of the graph must lie on all the shortest paths between two vertices of the monitoring set. These objects were introduced in a work by Foucaud, Krishna…

Discrete Mathematics · Computer Science 2025-02-10 Tapas Das , Florent Foucaud , Clara Marcille , PD Pavan , Sagnik Sen

A minimum dominating set in a graph is a minimum set of vertices such that every vertex of the graph either belongs to it, or is adjacent to one vertex of this set. This mathematical object is of high relevance in a number of applications…

Artificial Intelligence · Computer Science 2018-08-30 Mayra Albuquerque , Thibaut Vidal

A set of vertices $W$ in a connected graph $G$ is called a Steiner dominating set if $W$ is both Steiner and dominating set. The Steiner domination number $\gamma_{st}(G)$ is the minimum cardinality of a Steiner dominating set of $G$. A…

Combinatorics · Mathematics 2020-03-02 Yueming Shen , Chengye Zhao , Chenglin Gao , Yunfang Tang

A monitoring edge-geodetic set (or meg-set for short) of a graph is a set of vertices $M$ such that if any edge is removed, then the distance between some two vertices of $M$ increases. This notion was introduced by Foucaud et al. in 2023…

Discrete Mathematics · Computer Science 2026-04-09 Clara Marcille , Nacim Oijid

Image hiding is often referred to as steganography, which aims to hide a secret image in a cover image of the same resolution. Many steganography models are based on genera-tive adversarial networks (GANs) and variational autoencoders…

Computer Vision and Pattern Recognition · Computer Science 2025-10-15 Chengde Lin , Xuezhu Gong , Shuxue Ding , Mingzhe Yang , Xijun Lu , Chengjun Mo

mage steganography is the process of hiding information which can be text, image, or video inside a cover image. The advantage of steganography over cryptography is that the intended secret message does not attract attention and is thus…

Cryptography and Security · Computer Science 2022-01-19 Chen-Hsiu Huang , Ja-Ling Wu

Image steganography is the process of hiding secret data in a cover image by subtle perturbation. Recent studies show that it is feasible to use a fixed neural network for data embedding and extraction. Such Fixed Neural Network…

Cryptography and Security · Computer Science 2024-07-17 Guobiao Li , Sheng Li , Zhenxing Qian , Xinpeng Zhang

Hiding information in network traffic may lead to leakage of confidential information. In this paper we introduce a new steganographic system: the PadSteg (Padding Steganography). To authors' best knowledge it is the first information…

Cryptography and Security · Computer Science 2010-07-06 Bartosz Jankowski , Wojciech Mazurczyk , Krzysztof Szczypiorski

Minimum Label Cut (or Hedge Connectivity) problem is defined as follows: given an undirected graph $G=(V, E)$ with $n$ vertices and $m$ edges, in which, each edge is labeled (with one or multiple labels) from a label set $L=\{\ell_1,\ell_2,…

Data Structures and Algorithms · Computer Science 2019-08-21 Rupei Xu , András Faragó

Steganography is a general term referring to all methods for the embedding of additional secret content into some form of carrier, with the aim of concealment of the introduced alterations. The choice of the carrier is nearly unlimited, it…

Multimedia · Computer Science 2013-07-31 Elzbieta Zielinska , Wojciech Mazurczyk , Krzysztof Szczypiorski

The problem of finding a minimum-weight connected dominating set (CDS) of a given undirected graph has been studied actively, motivated by operations of wireless ad hoc networks. In this paper, we formulate a new stochastic variant of the…

Data Structures and Algorithms · Computer Science 2020-01-01 Takuro Fukunaga

Image steganography is a technique to conceal secret messages within digital images. Steganalysis, on the contrary, aims to detect the presence of secret messages within images. Recently, deep-learning-based steganalysis methods have…

Computer Vision and Pattern Recognition · Computer Science 2024-09-10 Zexin Fan , Kejiang Chen , Kai Zeng , Jiansong Zhang , Weiming Zhang , Nenghai Yu

Image steganalysis is a special binary classification problem that aims to classify natural cover images and suspected stego images which are the results of embedding very weak secret message signals into covers. How to effectively suppress…

Multimedia · Computer Science 2019-12-16 Songtao Wu , Sheng-hua Zhong , Yan Liu , Mengyuan Liu

We explore a reconfiguration version of the dominating set problem, where a dominating set in a graph $G$ is a set $S$ of vertices such that each vertex is either in $S$ or has a neighbour in $S$. In a reconfiguration problem, the goal is…

Discrete Mathematics · Computer Science 2014-01-31 Akira Suzuki , Amer E. Mouawad , Naomi Nishimura

Steganography is the art and science of hiding secret messages in public communication so that the presence of the secret messages cannot be detected. There are two distribution-preserving steganographic frameworks, one is sampling-based…

Multimedia · Computer Science 2020-11-23 Kejiang Chen , Hang Zhou , Hanqing Zhao , Dongdong Chen , Weiming Zhang , Nenghai Yu

One model of message delivery in a computer network is based on labelling each edge by a subset of a (reasonably small) universal set, and then encoding a path as the union of the labels of its edges. Earlier work suggested using random…

Combinatorics · Mathematics 2018-06-26 Gokce Caylak Kayaturan , Alexei Vernitski

For problems in image processing and many other fields, a large class of effective neural networks has encoder-decoder-based architectures. Although these networks have made impressive performances, mathematical explanations of their…

Computer Vision and Pattern Recognition · Computer Science 2023-09-18 Xue-Cheng Tai , Hao Liu , Raymond Chan

In the past, steganography was to embed text in a carrier, the sender Alice and the recipient Bob share the key, and the text is extracted by Bob through the key. If more information is embedded, the image is easily distorted. In contrast,…

Multimedia · Computer Science 2019-10-21 Duan Xintao , Liu Nao

Steganography is the science of hiding and communicating a secret message by embedding it in an innocent looking text such that the eavesdropper is unaware of its existence. Previously, attempts were made to establish steganography using…

Quantum Physics · Physics 2022-06-07 Rohan Joshi , Akhil Gupta , Kishore Thapliyal , R Srikanth , Anirban Pathak
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