Monthly Journal: Publishes theoretical and applied research in all areas of Discrete Mathematical Sciences, Cryptography, Combinatorics, Elliptic Curves and Information Security.
Ahmed Abdelwanis
In this paper: Consider a poset T and let F be a function from T to itself. The primary objective of this paper is to present and examine the concept of (F, F)-derivations on T, serving as a generalization of the co...
Shivangi Batra, Bhawna Narwal, Amar Kumar Mohapatra
In this paper: With the demographic expansion, healthcare exigencies are increasing invariably, owing to which it is pertinent to provide healthcare services around the corner. The Internet of Medical Things (IoMT)...
Nasrin Dehgardi, Mahdieh Azari, Yilun Shang
In this paper: The inverse sum indeg (ISI) index of a simple graph 𝒦 is expressed by ISI(𝒦) = ∑ς𝒦 ς’𝒦∈E𝒦 d𝒦 (ς𝒦)d𝒦 (ς’𝒦)/d𝒦 (ς𝒦) + d𝒦 (ς’𝒦). in which E𝒦 represents the edge set of the graph 𝒦 and d𝒦 (ς𝒦) indicat...
Vedat Kabasakal, Fatih Yılmaz
In this paper: In this paper, we initially investigate k-Narayana sequence and then define negative indexed k-Narayana sequence. Moreover, we obtain some interesting properties for them. Furthermore, we give a new a...
Yuriy Shablya, Vadim Polyuga
In this paper: Information security is an important task in the digital age, and one of the ways to protect data is to use cryptographic methods. This paper discusses the problem of creating new combinatorial genera...
Fateme Movahedi
In this paper: For a simple graph A = (VA, EA) where VA and EA are the vertex set and the edge set, respectively, the Sigma index of A is defined as s(A) = Sxy ∈ EA (hx – hy)2, where hx denotes the degree of x ∈ VA...
Adil Bashir, Numrena Farooq, Alina Pervaiz, Ajaz Hussain Mir
In this paper: The Smart Healthcare System (SHS) represents a ground-breaking evolution in healthcare, integrating Internet of Things (IoT), Fog computing, and Cloud computing. This innovation deploys miniature IoT...
Sukran Uygun, Ersen Akinci
In this paper: In this paper, we describe a coding/decoding algorithm by third order Jacobsthal and Jacobsthal-Lucas matrix sequences. In this method the blocked message matrices are based on. In this method it is u...
Sudesh Sehrawat, Manju Pruthi
In this paper: Let FG be a group algebra over the non-abelian group G of order 24. We have studied the codes of length 24 using character tables and corresponding generating idempotents. Minimum distance and dimensi...
Shaheed Jameel Al-Dulaimi
In this paper: Throughout the work, demonstrate and study (LC (Nie)-H-F M) as generalization of concepts (L(Nie)-hollow modules). We give several fundamental properties about this concept.
Shatha Alghueiri, Khaldoun Al-Zoubi
In this paper: In this paper, we introduce the concept of gr-Le-Jgr-PSub in the context of graded commutative rings and graded modules. These submodules extend and unify the properties of gr-Le-PSub and gr-J_gr-PSub...
Manal Al-Labadi, Eman Almuhur, Shuker Khalil
In this paper: This paper presents an efficiently covered property of the zero-divisor graph of L (+) N, with L a commutative ring with the identity element and N an L−module. we present a complete characterization...
L. Jyotsna, L. Praveen Kumar
In this paper: In the digital age, securing image data has become paramount due to the increasing prevalence of image exchange across digital platforms. Traditional methods, such as visual cryptography, offer certai...
Alaa Melhem, Rashid Abu-Dawwas, Ali Albalasmeh
In this paper: Let R be a commutative ring with a nonzero unity element. In this article, we introduce and examine new classes of ideals in ℤ2-graded rings, expanding upon the earlier concept of N-prime ideals. Usin...
M. S. Mary Jenifer, A. S. Shanthi
In this paper: In network theory the circulation of data is modelled into a graph and the idea of graph burning is applied. Graph burning is the concept of finding the minimum number of moves that takes for the prop...
Halah Qahtan Hamdi, Nuhad S. Al-Mothafar
In this paper: This article primary goal is to introduce the idea of purely lifting module, after that we proved some properties of this concept the second aim is to studying relations among purely lifting module...
Hera Antonopoulou, Dimitris Papadopoulos, Yannis C. Stamatiou
In this paper: In this work we present a totally asynchronous distributed algorithm for the problem of achieving arc-consistency in a network of constraints. The algorithm is designed for multicomputer systems. Sinc...
Fatima H. Alhesnawi, Asaad M. A. Alhossaini
In this paper: The notion of J-projective modules is presented in this study, (a new type of projectivity relative to the Jacobson radical of the module). Some of the basic properties of this concept are given. In a...
Sushree Shradhanjali Dash, Amiya Kumar Behera, Debi Prasad Bhatta, Chapala Bohidar, Mohammed Siddique
In this paper: A graph labeling assigns integers to the components of a graph (vertices, edges, or both), adhering to specific conditions. Let G be a graph with q edges. Then the graceful labeling is defined as one-...
Mohammed El Baraka, Siham Ezzouak
In this paper: This paper proposes modifications to the Elliptic Curve Digital Signature Algorithm (ECDSA) aimed at resisting emerging quantum attacks while maintaining backward compatibility with existing blockchai...
A. Erfanian, S. Al-Kaseasbeh, M. Al Tahan
In this paper: In this article, we employ the notion of Hamiltonian degree to connect group theory with graph theory. To do this, we present a new graph associated with a finite group G represented by the symbol ΓP(...
Samah H. Asaad, Ali Al-Fayadh
In this paper: This article introduces some fuzzy ideal of S_weakly Ƴ_regular of semi_groups, and we have characterized of a S_weakly Ƴ_regular semi_groups using properties for fuzzy_left and fuzzy_right_ideals of s...
Bijayani Pattanaik, Amiya Kumar Behera, Chapala Bohidar, Debi Prasad Bhatta, Bijaya Kumar Sethi
In this paper: Out of the enormous branches of mathematics, graph theory plays a vital role in the fields of applied mathematics and scientific computing. One of the major fields of graph theory is the study of grap...
Ankit Vishnoi, Parul Madan, Rashmi Sharma, Luxmi Sapra, Preeti Narooka, Deepak Panwar
In this paper: With the exponential rise in IoT networks, data transmission should be ensured to be secure and efficient as well for the integrity of maintaining communication. Most of the current cryptographic tech...
Anita Shrotriya, Sanvi Agarwal, Tvisha Khanna, Sunita Singhal
In this paper: Phishing attacks continue to pose a significant cybersecurity threat by exploiting users through deceptive emails. While traditional centralized phishing detection methods achieve high accuracy, they...
Jawad Abuhlail, Rangga Ganzar Noegraha
In this paper: We investigate left k-Noetherian and left k-Artinian semirings. We characterize such semirings using i-injective semimodules. We prove, in particular, a partial version of the celebrated Bass-Papp The...
Monika Dandotiya, Ajay Khunteta, Kriti Sankhla, Manoj Kumar Sharma, Aditya Narayan Hati
In this paper: By separating control plane from data plane, Software-Defined Networking has revolutionized network management by facilitating centralized control and increased network adaptability. DDoS in particula...
Dinesh Goyal, Sheng-Lung Peng
In this paper: Electronic Health Records (EHRs) are critical components of modern healthcare systems, but ensuring data security, privacy, and real-time clinical decision-making remains a significant challenge. This...
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