Monthly Journal: Publishes theoretical and applied research in all areas of Discrete Mathematical Sciences, Cryptography, Combinatorics, Elliptic Curves and Information Security.
Panuwat Luangchaisri, Thawhat Changphas
In this paper: The purpose of this paper is to introduce the concept of a pair soft left (resp. right, lateral) ideal of a ternary semigroup. Relationships between a pair soft left (resp. right, lateral) ideal, a so...
Iqra Jahangir, Memoona Ahmad, Sultan Ahmad, Rashid Farooq
In this paper: For a graph G, the Sombor index and harmonic index are respectively defined as (SO(G)=∑uv∈E(G) √(degG2 (u) + degG2 (u) and H(G) = ∑uv∈E(G) 2/(degG (u) + degG(v), where E(G) is the edge set and deg...
Rajitha Ranasinghe, Vikum Bandara
In this paper: The Collatz conjecture, introduced by Lothar Collatz in 1937, a longstanding unsolved problem, centers on a simple yet a puzzling question: Does repeatedly applying a specific rule to any positive int...
Mohamed R. Zeen El Deen, Walaa A. Aboamer, Hamed M. El-Sherbiny
In this paper: Consider a collection of charges {δ, 2δ, 3δ, ..., βδ} for an integer δ ≥ 1 and a network Γ with α = |V (Γ)| and β = |E (Γ)|. The challenge is to create a variety of electric network designs that allow...
Sherouk Awad Khalaf, Niran Sabah Jasim
In this paper: The exactness of the sequence (sequ.) of the elements of Weyl (W.) resolution (re.) of characteristic-free re. for the partition (13, 8) considered in this article by employing contracting homotopy fo...
Saeid Alikhani, M. Mehraban, H. Golmohammadi, A. Zakharov
In this paper: A non-empty subset S ⊆ V of the vertex set of a simple graph G = (V, E) is called an independent dominating set if every vertex not in S is adjacent to at least one vertex in S, and no two vertices in...
Subham De
In this paper: This paper presents a combinatorial interpretation of Ramanujan’s celebrated partition congruences: p(5n + 4) ≡ 0(mod 5), p(7n + 5) ≡ 0(mod 7) and, p(11n + 6) ≡ 0(mod 11), where p(n) denotes the numbe...
G. Mahadevan, K. Priya, C. Sivagnanam
In this paper: The concept of the CTATD number has been recently further developed, expanding on the original work by Mahadevan, Priya, and Sivagnanam [4]. A subset S ⊆ V is considered a CTATD set for a graph G if f...
Farzaneh Falahati-Nezhad, Mahdieh Azari
In this paper: Topological indices serve as molecular structure descriptors that characterize the topology of a molecule while remaining invariant under graph isomorphism. Discrete Adriatic indices, explored by Vuki...
Ahmed Abdelwanis
In this paper: Introducing and examining the concept of generalized skew derivations on partially ordered sets (Posets) is the primary goal of this research. We use generalized skew derivations to demonstrate a few...
Semaa Hassan Aziz, Abdulrahman H. Majeed
In this paper: The cyclic decomposition (cy.dec.) for the groups 𝓟𝓢𝓤(3,49) and 𝓟𝓢𝓤(2,169) after gain the conjugacy classes and the character table (cha.ta.) of rational representations (ra.re.) for each group survey...
Noor Alhuda Samir Salem, Niran Sabah Jasim
In this paper: In this article we employ the mapping cone (mapp.co.) to obtain the exactness of the sequence (seq.) of the Lascoux (L.) elements of the Weyl module (W.m.) resolution (res.) by in usage the diagrams (...
Subham De
In this paper: This article presents a brief overview of the Mertens function M(n) and Redheffer matrices An, deriving specific order estimates for M(n) to investigate the distribution of non-trivial zeros of the Ri...
S. Kaviya, G. Mahadevan, C. Sivagnanam
In this paper: A dominating set S in a graph G is termed a Triple Connected Certified Dominating Set (TCCD-set) if, for each vertex v in S, either the number of neighbors of v in V – S is zero or k where k ≥ 2, and...
Mohammad Reza Farahani, Ahsan Ali, Anam Fiaz, Mehran Azeem, Shobha Veerangouda Patil, Mehdi Alaeiyan, Murat Cancan
In this paper: To connect the biological activity of quantitative structure - activity (QSAR) and quantitative structure - property (QSPR) interactions, topological indices are employed in structural underpinnings w...
Jitendra Kumar Gupta, Abhinav Shukla, Aryan Yadav, Vanita Jain
In this paper: The sudden growth in digital learning environments has aided the rise of student datasets that provide a great opportunity to predict and explain complex student behaviour and their performance. Howev...
Bita T. Rajendran, S. Jebasingh, Atulya K. Nagar, P. S. Divya, G. Johnsy
In this paper: Graph networks were formulated, motivated from the structure of molecules, social connections, flow of information, transport systems, and several other physical phenomena’s. New networks are proposed...
S. S. Aravind Vishnu, M. Sethumadhavan, K. V. Lakshmy
In this paper: In this article, we propose a generic hybrid encryption scheme providing entity authentication. The scheme is based on lossy trapdoor functions relying on the hardness of the Learning With Errors prob...
Sunny Kumar Sharma, Yousef Al-Qudah, Vijay Kumar Bhat
In this paper: In this article, we consider two interesting classes of an infinite planar graphs (viz., the flower graph Sn = ℱn×3 and the graph Dn* , constructed using prism graph) and for these, we study a graph p...
Sandeep Kumar, Gaurav Mittal, Sunil Sangwan
In this paper: In this work, we present the IND-CPA secure (quantum) dual version of group ring based McEliece public key encryption (PKE) proposed in Mittal et al. (JDMSC, 2023). We show that in comparison to the c...
Bilel Selikh
In this paper: In this work, we introduce a novel asymmetric encryption scheme founded on a non-commutative algebraic group defined over a specialized group ring, with the proposed system relying on the computationa...
Boubakeur Bahri, Yassine Guerboussa, Souad Ayadi, Amina Boucenna
In this paper: This work provides a comprehensive description of the quotient ring A/mn, where A = Z[ζ] and m = (1 – ζ) is a maximal ideal corresponding to a primitive p-th root of unity ζ. where [1] p is prime numb...
Sanal Kumar
In this paper: The diverging unidirectional star graph is the unidirectional star graph with n+1 nodes(vertices) and n arcs, n nodes of in-degree 1 and out-degree 0. The converging unidirectional graph consisting of...
Thitiphut Leelathanakit, Ratinan Boonklurb, Sirirat Singhun
In this paper: The Unshackle game is a combinatorial game for two players that starts with prisoners and shackles on a board such that each shackle has two ends, and each end is shackled to one prisoner. Two players...
Roohallah Daneshpayeh, Sirus Jahanpanah, Arsham Borumand Saeid
In this paper: This paper considers the notion of BL-algebras and converts any Galois finite field to a BL-algebra. It extends the class of BL-algebras based on finite fields and makes a connection between finite fi...
Mohammad Reza Farahani, Mehdi Alaeiyan, Muhammad Shoaib Sardar, Shobha V. Patil, Murat Cancan
In this paper: Two-dimensional (2D) magnetic materials have arisen as viable contenders for next-generation nano-spintronics, quantum computing and high-density data storage technologies, owing to their distinctive...
Jhansi Rani Mettu, Dhanpratap Singh
In this paper: This article is a discussion about a ring-theoretic model, which is a math-based model illustrating the mechanism through which intrusion detection is done. Statistically or machine-learned-based dete...
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