Monthly Journal: Publishes theoretical and applied research in all areas of Discrete Mathematical Sciences, Cryptography, Combinatorics, Elliptic Curves and Information Security.
Carlos M. Da Fonseca, Paulo Saraiva, Fatih Yılmaz
In this paper: In this paper, we present an alternative and short proof for the expression of the index of a broom, based on equitable partitions and perturbed Toeplitz tridiagonal matrices. A similar general result...
E. Santhanamari, G. Kavitha
In this paper: This research paper presents a comprehensive analysis of the fuzzy rhotrix, encompassing its definition, basic properties, proofs, and future development. The paper situates fuzzy rhotrix within the b...
L. Praveenkumar, G. Mahadevan, C. Sivagnanam
In this paper: Corona domination number is defined as, if each vertex in the graph induced by a dominating set. 𝒟 satisfies the condition that either d(u) = 1 or there exist v ∈ 𝒟 such that u ∈ N(v), and d⟨𝒟⟩ (v) =...
Merlin Thomas, V. Jude Annie Cynthia, S. Prabhu, R. Sundara Rajan
In this paper: Given a dominating set S ⊆ V(G) for a graph G, each vertex of the graph is either in S or is adjacent to at least one vertex in S. The set S is a secure dominating set of G if, for each vertex u ∈ V(G...
Priyanka Agarwal, A. Bharali
In this paper: In the dynamic fields of mathematical chemistry and chemoinformatics, caterpillar trees are widely employed as a foundational tool for modeling the structures of unbranched benzenoid hydrocarbon molec...
Sushree Shradhanjali Dash, Amiya Kumar Behera
In this paper: An Even-Even graceful labeling involves assigning even labels to both vertices and edges in a graph. The goal is to create a labeling where vertex and edge labels are even integers, and the difference...
Bijayani Pattanaik, Amiya Kumar Behera
In this paper: A graph geodesic polynomial is an algebraic expression linked with its polynomial that gathers information about geodesics, which means shortest paths in a graph connecting two vertices. Examining the...
T. Srinivas
In this paper: This research paper explores advanced Diophantine equations with Pythagorean characteristics and their algebraic properties. The work extends classical number theory concepts into novel structural fra...
E. Virgin Christilda, S. Teresa Arockiamary
In this paper: Topological indices quantify graph structure, aiding complex decision-making. Fuzzy graphs incorporate uncertainty, while neutrosophic graphs address indeterminacy and inconsistency. This work introdu...
J. Senbagamalar, V. Gomathi, S. Sudha
In this paper: Intuitionistic fuzzy graphs ΙFgs are a generalization of same community which belongs to assets and liabilities fuzzy graphs which provide us with a broader context to address the uncertainty, hesita...
R. Udhayashree, R. Rajeswari
In this paper: A graph in which every vertex has the same valency or degree is known as a regular graph. The double graph D(G) of a regular graph is constructed by duplicating each vertex and connecting the correspo...
A. Sagaya Rose Tucilin Mary, V. Maheswari, V. Balaji
In this paper: Graph labeling involves assigning unique integer values to the vertices and edges of a graph, starting from zero or a higher value. A star graph, denoted as K(1, r), consists of a central vertex conne...
E. Santhanamari, G. Kavitha
In this paper: This study introduces a new mathematical structure called a “single-valued trivalent logic-based fuzzy rhotrix” (STFR). An STFR combines a r x r matrix and a (r -1) x (r -1) matrix with a membership f...
P. Leo Joshwa, R. Sundara Rajan, D. Ahima Emilet, S. Arulanand
In this paper: The Sierpiński graph S(n, Km), known for its recursive and hierarchical construction, serves as a significant model for multiprocessor interconnection architectures. Its extended variant, denoted S+ (...
Konstanty Junosza-Szaniawski, Piotr Lewandowski
In this paper: CRYSTALS-Dilithium, known also as FIPS-204 is one of the post-quantum signature schemes standardized by NIST. In this paper we investigate and enhance a side-channel attack on Dilithium proposed by Ma...
Naman Beri, Vibha Gaur, Ravneet Kaur
In this paper: In the contemporary digital environment, data security is of the utmost importance. Utilizing Advanced Encryption Standard (AES) encryption and modular arithmetic-based steganography, a novel method...
Akber Ali Khan, Neeraj Kumar Gaud, Swati Agarwal, Faisal Alanazi
In this paper: Traditional power systems rely on fossil fuels, which considerably harm the environment. A smart grid is an infrastructure that allows for the integration of renewable resources into the distribution...
K. V. Madhumitha, Anuradha Rao, T. Prajwal Prabhu, Swati Nayak, Sabitha D’Souza
In this paper: Cryptography plays an important role in transferring information safely in the computerized world. It consists of two parts; one is encryption of the message so that the cipher text will not reveal th...
Tyas Widya Damayanti, Liliek Susilowati, Nenik Estuningsih, Haswamati, Kamal Dliou
In this paper: Poverty is closely related to the problem of unequal distribution of basic needs across regions. To address this challenge, graph theory provides a rigorous framework for designing efficient distribut...
Shimaa M. Dawood, Saad A. Al-Saadi
In this paper: This work introduces and investigates a generalization of extending semimodules via weak-supplement subsemimodules. An S-semimodule L is called weakly-supplement extending (shortly, 𝓌𝓈e—semimodule) if...
Shruti Jairath, Kunwar Pal
In this paper: The need of safe information hiding has been on the rise in the context of the digital communication with the growth of sharing of online data spread exponentially. This paper presents a new method ca...
Ravi Shankar Shukla, Danish Ather, Dharm Raj, Abhishek Jain, Tiyas Sarkar, Manik Rakhra
In this paper: The expanding interrelated digital systems across the board have significantly increased the number and advanced nature of cyber threats, thus making traditional rule-based security approaches inadequ...
Shivangi, Gulista Khan, Shalini Z. Ninoria
In this paper: Authentication, confidentiality, and integrity can be upheld when there is seamless and secured communication amongst IoTs and distributed systems. Hence, this paper discusses a reliable architectural...
G. Mahesh, Renu Mishra
In this paper: The Electronic health data (EHRs) employed with benefits of interoperability, better patient care, and obeying laws of regulation like Health Insurance Portability and Accountability Act (HIPAA). Exis...
Kalpana Dwivedi, Gaurav Raj
In this paper: Efficient and safe data distribution is one of the pressing problems of current cloud-edge infrastructures, particularly when the networks become heterogeneous, nodes fail, and new security threats em...
Anuradha Singh, Pradeep Kumar, Ajay Kumar, Nishant Gupta, R. N. Ravikumar, Dharm Raj
In this paper: Mobile agents are powerful advanced technology for distributing computing with intelligent and autonomous execution of assigned tasks. During the execution, mobile agent utilizes a specific life cycle...
Prajakta Vijay Mankar, Ruchi Telang Gode, S. V. S. S. N. V. G. Krishna Murthy
In this paper: In this work, we introduce a new method for image encryption that improves on the traditional Rubik cube based encryption model by integrating adaptive key generation using Convolutional Neural Networ...
Harihar Nath Verma, Sanjay Kumar Malik, Vanita Jain
In this paper: Human emotion recognition using artificial intelligence has become a significant research area with applications in emotion analysis, opinion mining and affective computing for understanding users’ em...
N. Ajay, H. S. Mohan, I. S. Rajesh, Sumit Gupta
In this paper: Cloud computing provides scalability, cost efficiency and flexibility of numerous applications. Nevertheless, there remain security issues because of data integrity, confidentiality and cyber threats....
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