Monthly Journal: Publishes theoretical and applied research in all areas of Discrete Mathematical Sciences, Cryptography, Combinatorics, Elliptic Curves and Information Security.
A. Karimi, Fateme Movahedi, S. M. Taheri
In this paper: Consider a commutative ring ℜ. Let ℨ*(ℜ) denote the set of zero-divisors of ℜ\{0}. A zero-division graph, denoted by Γ(ℜ), is a graph interrelated with the ring ℜ, where the vertex set consists of the...
Zahid Raza, Juan LG Guirao
In this paper: The progression of 2D novel, metal trihalides MX3, has been learned Dirac half-metallicity topological spintronic possessions because of their interest that are inherited magnetic processes reflected...
Nasrin Dehgardi
In this paper: Recently, Mondal et al. introduced several new indices based on neighborhood degree sum of vertices, which received increasing research attention. In this paper, we consider a variant of these indices...
Zohreh Aliannejadi, Somayeh Shafiee Alamoti
In this paper: This research explores the Edge Hyper-Zagreb index, a unique method of calculating graph indices by replacing vertex degrees with edge degrees. The edge degree is obtained by summing the degrees of th...
Aysun Aytaç, Yaren Aktürk
In this paper: Graph theory has become an indispensable branch of contemporary mathematics, contributing significantly to both theoretical and applied research., particularly in the realm of natural sciences such as...
Ali Havasi, Massoud Hadian Dehkordi
In this paper: Secret sharing is the sharing of a secret between n shareholders so that only predefined subsets can retrieve the secret and other subsets called unauthorized subsets can not access the secret. In sec...
Mengue Mengue David Joel
In this paper: In this paper we investigate Bol loops and produce very important Results on them. We also proved here that the parastrophs of every Bol loop are Bol loops under some well-known conditions.
Moh. Affaf, Liliek Susilowati, Yayuk Wahyuni, Miswanto, Kamal Dliou
In this paper: Assume that w is a non-trivial connected graph, with u and v representing its vertices and e = uv representing its edges. The shortest total length of the pathways connecting u and v in G is the dista...
Elahe Mehraban, T. Aaron Gulliver, Evren Hinçal
In this paper: In this paper, we define new sequences using Lucas and Pell sequences. Then the (q, m)-Lucas-Pell sequence matrix is introduced and some interesting structural results are obtained. These sequences ar...
Carolin Hannusch, Roland Major, Marco Pavone
In this paper: We introduce an algorithm for the fast generation of Latin squares. Considering Latin squares with n rows and columns, we introduce a map which maps one square to another one of opposite parity. This...
Patchara Pornsurat, Pakorn Palakawong na Ayutthaya, Bundit Pibaljommee
In this paper: We begin by defining interior ideals of n-ary semigroups, followed by the introduction of j-pure ideals and interior pure ideals within this algebraic framework. Subsequently, we provide characterizat...
Samir M Saied, Iqbal A Omer
In this paper: Purity is one of the important concepts in Algebra, which was studied by many others in Acts, modules, and groups. An K-K-subact B of K-act is SP-sub-act, if every a ∈ A and a ∉ B, there is a pure K-s...
Ali A. Kabban, Wasan Khalid
In this paper: Any R-module G is named e*S-lifting module if each sub-module L of G, there is sub-module V of L such that G = V ⨁ D, where D ⊆ G and L ∩ D ≪e*S D. This work proposes to present characteristics and ex...
Mudit Chaturvedi, Shilpa Sharma, Gulrej Ahmed, Vaibhav Bhavnagar
In this paper: The paper presents the Integrated Cybersecurity Evaluation and Risk Mitigation Framework (ICERMF), which utilizes wavelet-based cryptographic transforms in conjunction with AES-256 encryption to enhan...
Halah Qahtan Hamdi, Nuhad S. Al-Mothafar
In this paper: In this work, we introduce the concept of a purely supplement submodule, also consider some properties of this idea, and investigate connections between purely supplement submodules and related ideas....
Amer S. Abdulrahman, Wasan Khalid
In this paper: The goal for this work is to submit a conception for e* S-essential small submodules along with e* SS-hollow modules as the popularization for singular small submodules and hollow modules, a few chara...
Abdalgabar K. Yahea, Ruma Kareem K. Ajeena
In this paper: A new version of digital signature scheme (DSS) has been proposed in this work. This version has used a new concept of linear algebra which is called the integer matrix of Fibonacci numbers with size...
Kalyani R. Chaudhari, Altaf O. Mulani, Milind P. Gajare, Vaishali Jadhav, Pranali Yawle, Arti Vasant Bang
In this paper: This rapid expansion has driven the development and adoption of a wide variety of communication standards, creating a critical need for systems that are both robust and adaptable. One innovative solut...
R. Amutha
In this paper: In this paper, an image encryption algorithm using a proposed cosine chaotic map is designed. The proposed image encryption algorithm uses two levels of permutation and three levels of diffusion. The...
Pooja Soni, Manju Pruthi, Arun Kumar Yadav
In this paper: In this work, we use the Hermitian technique to find novel Quantum error correcting codes (𝒬E𝒞𝒞’s) by Constacyclic codes (CCc’s) over the ring ℛ = ℱp2 [𝓊, 𝓋]/(𝓊3 – ω2 𝓊, 𝓋3 – ω2 𝓋), where p is a non-e...
Mayur Jakhete, Vimal Bibhu, Armaan Shaikh, Rupali Deshpande, V. Mounika, J. Mounika
In this paper: Graph colouring is a combinatorial optimisation problem that colours each vertex such that no two close vertices have the same colour while using the fewest hues feasible. The chromatic number (χ(G))...
Honganur Raju Manjunath, Syed Rashid Anwar, Kumari Shipra, Sumeet Kaur, P. Appireddy, K. Nagendra Prasad
In this paper: Bipartite covers simplify complicated network viewing by breaking the graph into two full subgraphs. Network analysis determines network structure using combinatorial methods. The concept of Km,n bicl...
Neha Sharma, Narendra Singh Yadav, Gaurav Agarwal, Jaweria Izhar
In this paper: This paper introduces Slime Mould Optimization-Enhanced RSA (SMO-RSA), a novel cryptographic algorithm that synergizes the RSA cryptosystem with the bio-inspired Slime Mould Algorithm (SMA) to address...
Sheela Hundekari, Sagarkumar S. Badhiye, Pallavi R. Rege, Budigi Prabhakar, K. Nagendra Prasad, S. Udaya Lakshmi
In this paper: The Erdūs–Ko–Rado (EKR) theorem is a renowned result in combinatorial mathematics. It tells a lot about cross-set groups. This study examines how the EKR theorem might inspire combinatorial intersecti...
V Mamatha, Arjit Tomar, Anuradha V. Yenkikar, Smita Desai, M. V. S. Devi, G. Ramya Sree
In this paper: This study explores the discrete structures of planar graphs, focusing on Fáry’s Theorem and its combinatory consequences. According to Fáry’s Theorem, all planar graphs may be put in the plane usin...
M. P. Sunil, Deepak Suresh Asudani, Tanveer Ahmad Wani, Husnabad Venkateswara Reddy, M. Hanumantha Rao, K. Tirupathaiah
In this paper: Graph theory has long been used to study complicated networks by focusing on building components like the highest and lowest degrees (u03a6(G)). The strength, connection, and vulnerability of a networ...
Deepika Mallampati, Deepak Suresh Asudani, Yashwant Dongre, Yazdani Hasan, M. Khamar, R. Seshaiah
In this paper: Many discrete mathematics models emphasize the Catalan numbers, a series of natural integers important in combinatory. These numbers also appear in lattice routes, binary bushes, and create triangulat...
Ashutosh Panchbhai, Tanya Singh, Vikas Kolekar, Kalyan Devappa Bamane, N. Jaya Bhagyam, Sorabh Lakhanpal
In this paper: This study examines how combinatorial analysis may address network optimization challenges via line graph creation. Line graphs, which can transform graphs, underpin graph theory. Points in a line gra...
Mahejabi Khan, Ananya Sharma, Dimmita Nagajyothi, Veerendra Yadav, Mohammad Alamgir Hossain, R. Ramesh
In this paper: Cryptanalysis-based ECC attacks now threaten wireless network security. ECC is often used in Wi-Fi conversation structures to securely transfer data since it works and is impermeable with smaller key...
Neha Sharma, Gaurav Agarwal, Jaweria Izhar
In this paper: The increasing sophistication of cyber threats necessitates the development of more robust cryptographic systems. This paper introduces African Vulture Optimization-Enhanced RSA (AVO-RSA), a novel hyb...
Chandrashekhar Patel, Linesh Raja, Shilpa Sharma, Alok Kumar Ansu
In this paper: In the current era, the rapid growth of digital connected devices makes it essential to ensure that wireless sensor networks provide reliable, energy-efficient, and scalable communication. This resear...
Pauly J., Saju M I, Antony John E F, Renjith Varghese
In this paper: The unique public key cryptosystem presented in this work is built on the fundamental concepts of elliptic curves. The proposed method aims to offer a versatile and efficient Public Key Cryptography (...
Shweta Salunkhe, Altaf O. Mulani, Deepali Shahane, Manish Rana, Shivam Mahendra Shukla, Makarand M. Jadhav
In this paper: With the exponential rise in digital image transmission across unsecured networks, ensuring image confidentiality and authenticity has become essential. Traditional cryptographic methods like AES prov...
Jörg Koppitz, Ananya Anantayasethi
In this paper: A Q-algebra (ξ; *, 0) is a generalization of the concepts of BCK, BCI-algebras, introduced by Neggers et al. [1]. As for BCK, BCI-algebras, the concept ideal is defined for Q-algebras [1]. In this pap...
Harihar Nath Verma, Sanjay Kumar Malik, Vanita Jain
In this paper: Sentiment analysis has become an invaluable exercise on social media addressing the understanding of opinion and consumer behavior and trends. The system of informality and context richness against pl...
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