19 Results Found

A weak homomorphism from graph G to graph H is a mapping $f:V\left(G\right)\to V\left(H\right)$, where either $f\left(x\right)=f\left(y\right)$ or $\left\{f\right(x),f(y\left)\right\}\in E\left(H\right)$ hold for all $\{x,y\}\in E\left(G\right)$. A rectangular grid graph is formed by taking the Cartesian product of two paths. Counting weak ho...

As a new generalization of the notion of the standard group, the notion of the neutrosophic triplet group (NTG) is derived from the basic idea of the neutrosophic set and can be regarded as a mathematical structure describing generalized symmetry. In...

We introduce the notions of meet, semi-prime, and prime weak closure operations. Using homomorphism of BCK-algebras $\phi :X\to Y$ , we show that every epimorphic image of a non-zeromeet element is also non-zeromeet and, for mapping $c$...

In this work, we use the concept of $\mathfrak{G}$-weak graded rings and $\mathfrak{G}$-weak graded modules, which are based on grading by a set $\mathfrak{G}$ of left coset representatives for the left action of a subgroup $\mathfrak{H}$ of a finite $\mathfrak{X}$ on $\mathfrak{X}$, to define the conjugation action of the set...

In this study, for the first time, we study some basic definitions of soft neutrosophic modules in algebra being generalized and its several related properties, structural characteristics are investigated with suitable examples. In this paper, we uti...

The skew generalized power series ring $R\left[\right[S,\omega \left]\right]$ is a ring construction involving a ring R, a strictly ordered monoid $(S,\le )$, and a monoid homomorphism $\omega :S\to End\left(R\right)$. The ring $R\left[\right[S,\omega \left]\right]$ is a common generalization of ring extension...

Group actions are a valuable tool for investigating the symmetry and automorphism features of rings. The concept of fuzzy ideals in rings has been expanded with the introduction of fuzzy primary, weak primary, and semiprimary ideals. This paper explo...

To address the issues of high single-point failure risk, weak privacy protection, and poor resistance to poisoning attacks in edge federated learning, an edge federated learning privacy protection scheme based on blockchain and fully homomorphic encr...

In this paper, some basic properties and structure characterizations of AG-groups are further studied. First, some examples of infinite AG-groups are given, and weak commutative, alternative and quasi-cancellative AG-groups are discussed. Second, two...

This work proposes a new architectural approach to enhance the security, privacy, and scalability of VANETs through threshold key management and Privacy Enhancing Technologies (PETs), such as homomorphic encryption and secure multiparty computation,...

Neutrosophic extended triplet group (NETG) is a novel algebra structure and it is different from the classical group. The major concern of this paper is to present the concept of a partially ordered neutrosophic extended triplet group (po-NETG), whic...

A vast number of e-voting schemes including mix-net-based e-voting, homomorphic e-voting, blind signature-based e-voting, blockchain-based e-voting, post-quantum e-voting, and hybrid e-voting have been proposed in the literature for better security a...

In the last decade, E-voting has received great attention due to its advantages in efficiency and accuracy. Fan et al. presented a novel E-voting system named HSE-Voting by utilizing homomorphic signcryption. The HSE-Voting system was claimed to gain...

This work introduces the notion of a hesitant bipolar-valued intuitionistic fuzzy graph (HBVIFG), which reflects four different characterizations: membership with positive/negative aspects and non-membership with positive/negative aspects, incorporat...

Inspired by rodents’ free navigation through a specific space, RatSLAM mimics the function of the rat hippocampus to establish an environmental model within which the agent localizes itself. However, RatSLAM suffers from the deficiencies of err...

Enhancing underwater images presents a challenging problem owing to the influence of ocean currents, the refraction, absorption and scattering of light by suspended particles, and the weak illumination intensity. Recently, different methods have reli...

The trend of the next generation of the internet has already been scrutinized by top analytics enterprises. According to Gartner investigations, it is predicted that, by 2024, 75% of the global population will have their personal data covered under p...

Proof of Storage-Time (PoST) is the core verification mechanism for blockchain data storage, ensuring the integrity and continuous availability of data throughout the storage period. Although the current mainstream Compact Proofs of Storage-Time (cPo...

The COVID-19 pandemic exposed persistent weaknesses in health-data interoperability, cybersecurity, provenance, cross-organizational governance, and continuity of digital care. This short communication presents an updated focused narrative synthesis...