TARU PUBLICATIONS
Journal of Discrete Mathematical Sciences and Cryptography cover
Hybrid ·Peer-reviewed·ISSN (Online): 2169-0065·ISSN (Print): 0972-0529

Monthly Journal: Publishes theoretical and applied research in all areas of Discrete Mathematical Sciences, Cryptography, Combinatorics, Elliptic Curves and Information Security.

Issues up to 2022 co-published with and available at:Taylor & Francis Online
submissions@tarupublications.com
Volume 28·Issue 7·October 2025·19 Articles

Volume 28, Issue 7

Articles

Open Access Research Article·pp. 2607–2619·Vol. 28, Issue 7Oct 2025

Congruence of order-decreasing and order-preserving on transformations with fixed point

Jörg Koppitz, Somnuek Worawiset

Published Online: 24 Apr 2025DOI: 10.47974/JDMSC-1841

In this paper: Let Cn be the semigroup of all order-preserving and order-decreasing transformations on an n-element chain. Let ζ be an idempotent in Cn. The set Cn(ζ) of all α ∈ Cn such that the image of ζ is the se...

AbstractReferencesFull Text PDF (550 KB)Views: 398Downloads: 84Citations: 0
Open Access Research Article·pp. 2621–2643·Vol. 28, Issue 7Oct 2025

Calculation and analysis of some degree-based topological indices with the general inverse sum indeg index approach and using (a, b)-Nirmala index on pharmaceutical structures

Azizollah Babaei, AllahBakhsh Yazdani Cherati, Rohollah Yousefpour

Published Online: 12 Jul 2025DOI: 10.47974/JDMSC-1843

In this paper: Investigating the structures of existing drugs is an approach to developing new clinical applications that go beyond the scope of the original medical prescription for known drugs. Chemical graph theo...

AbstractReferencesFull Text PDF (640 KB)Views: 181Downloads: 59Citations: 0
Open Access Research Article·pp. 2645–2670·Vol. 28, Issue 7Oct 2025

Design and analysis of a pseudo random number generator based on the logistic-sine system and a nonlinear feedback shift register : Application to image encryption 

Hadjer Bourekouche, Samia Belkacem, Noureddine Messaoudi

Published Online: 09 Jun 2025DOI: 10.47974/JDMSC-1847

In this paper: This study aimed to improve the output quality and statistical characteristics of random output sequences by combining the output of an 8-bit Fibonacci nonlinear feedback shift register (NLFSR) of deg...

AbstractReferencesFull Text PDF (1.1 MB)Views: 218Downloads: 34Citations: 0
Open Access Research Article·pp. 2671–2678·Vol. 28, Issue 7Oct 2025

Fibonacci range labeling on direct product and union of graphs

Aronthung S. Odyuo, P. Mercy, Manoj Kumar Patel

Published Online: 25 Aug 2025DOI: 10.47974/JDMSC-1861

In this paper: In this paper, we present a novel graph labeling parameter, referred to as Fibonacci range labeling or φ-labeling. We explore its applicability to K1, n × K1, m, Pn × P2, Cn ∪ Cm, Cn ∪ Pm and determin...

AbstractReferencesFull Text PDF (432 KB)Views: 206Downloads: 88Citations: 0
Open Access Research Article·pp. 2697–2721·Vol. 28, Issue 7Oct 2025

PBIB-designs with constant block sums arising from different graph parameters

Medha Itagi Huilgol, Sreepriya Asok

Published Online: 15 Sep 2025DOI: 10.47974/JDMSC-2064

In this paper: Khattree introduced the concept of constant block sum partially balanced incomplete block designs (CBS-PBIBDs) in 2019. In this paper, we have tried to extend this concept to designs arising from diff...

AbstractReferencesFull Text PDF (602 KB)Views: 104Downloads: 88Citations: 0
Open Access Research Article·pp. 2723–2736·Vol. 28, Issue 7Oct 2025

Secure 2-domination in graphs

Ibrahim Boufelgha, Moussa Ahmia, Mourad Guettiche

Published Online: 12 Jul 2025DOI: 10.47974/JDMSC-2067

In this paper: Let G = (V, E) be a simple graph. A set D ⊆ V is a dominating set of G if every vertex in V\D is adjacent to at least one vertex in D. D is a 2-dominating set if every vertex in V\D has at least two n...

AbstractReferencesFull Text PDF (462 KB)Views: 150Downloads: 77Citations: 0
Open Access Research Article·pp. 2737–2749·Vol. 28, Issue 7Oct 2025

Dominant clusters of increasing n-corona product graph

S. Jebisha Esther, J. Veninstine Vivik

Published Online: 12 Jul 2025DOI: 10.47974/JDMSC-2068

In this paper: The streamlining of dominating clusters from the family of product graphs can be well organized using graph domination. A minimal dominating set D comprises the lowest possible integer of graph vertic...

AbstractReferencesFull Text PDF (581 KB)Views: 176Downloads: 76Citations: 0
Open Access Research Article·pp. 2751–2768·Vol. 28, Issue 7Oct 2025

Computing some fuzzy topological indices of linear and multi-cyclic tetracene hydrocarbon

Mehri Hasani, Masoud Ghods

Published Online: 14 Aug 2025DOI: 10.47974/JDMSC-2070

In this paper: This study focuses on the theoretical study of the fuzzy graph of an aromatic hydrocarbon called tetracene hydrocarbon and calculates several degree topological indices based on fuzzy logic, including...

AbstractReferencesFull Text PDF (551 KB)Views: 193Downloads: 85Citations: 0
Open Access Research Article·pp. 2769–2796·Vol. 28, Issue 7Oct 2025

Idempotent generators of cyclic codes, cyclic self-dual codes and cyclic LCD codes of length ptq over ℤ4

Kapil Kumar, Sudhir Batra

Published Online: 26 Feb 2025DOI: 10.47974/JDMSC-2116

In this paper: Cyclic codes having length ptq have been studied using the primitive binary idempotent generators when Opt(2) = f(pt)/2  and Oq(2) = q – 1  with (f(pt)/2, q – 1).  Using the expressions of these idemp...

AbstractReferencesFull Text PDF (460 KB)Views: 228Downloads: 63Citations: 0
Open Access Research Article·pp. 2797–2810·Vol. 28, Issue 7Oct 2025

Secure public key encryption and key encapsulation mechanism based on group ring learning with errors problem

Gaurav Mittal, Sandeep Kumar, Sunil Kumar, Shiv Narain, Yogesh K. Gupta

Published Online: 18 Dec 2024DOI: 10.47974/JDMSC-2131

In this paper: In this paper, our main aim is to propose a group ring analogue of the well-known learning with errors problem and discuss its security. Using this novel problem, we construct IND-CPA secure public ke...

AbstractReferencesFull Text PDF (263 KB)Views: 171Downloads: 64Citations: 0
Open Access Research Article·pp. 2811–2825·Vol. 28, Issue 7Oct 2025

Encryption and decryption scheme through signed Cayley graph

Obaidullah Wardak, Sandeep Kumar, Deepa Sinha

Published Online: 20 Feb 2025DOI: 10.47974/JDMSC-2201

In this paper: The encryption and decryption of sensitive information have become increasingly important in today’s digital age. In this paper, we explore the innovative application of signed Cayley graphs for achie...

AbstractReferencesFull Text PDF (269 KB)Views: 280Downloads: 74Citations: 0
Open Access Research Article·pp. 2827–2848·Vol. 28, Issue 7Oct 2025

Complex fuzzy ideals which coincide in Γ-semigroups

Pannawit Khamrot, Thiti Gaketem

Published Online: 16 Oct 2025DOI: 10.47974/JDMSC-2223

In this paper: The thoughts of a complex fuzzy set were initiated by Ramot et al. [15] in 2000. It is a generalization of fuzzy sets. The main results of the paper, we discuss concepts of complex fuzzy ideals in Γ-s...

AbstractReferencesFull Text PDF (567 KB)Views: 133Downloads: 65Citations: 0
Open Access Research Article·pp. 2849–2861·Vol. 28, Issue 7Oct 2025

Distance-balancing of cube-connected cycles graphs

Mokhtar Aouina, Hamed Karami, Douglas J. LaFountain

Published Online: 25 Oct 2025DOI: 10.47974/JDMSC-2258

In this paper: We show that the cube-connected cycles graphs CCCn are distance-balanced via an investigation of the automorphisms of CCCn. We then introduce a new diagrammatic way to represent minimal paths in CCCn,...

AbstractReferencesFull Text PDF (446 KB)Views: 110Downloads: 86Citations: 0
Open Access Research Article·pp. 2863–2874·Vol. 28, Issue 7Oct 2025

Interval-valued picture fuzzy almost subsemigroups in semigroups

Winita Yonthanthum, Anusorn Simuen, Ronnason Chinram

Published Online: 11 Sep 2025DOI: 10.47974/JDMSC-2304

In this paper: Our main results of this paper is to introduce an interval-valued picture fuzzy almost subsemigroup (IVPFAS) in a semigroup. Some properties of an IVPFAS in a semigroup will be studied. Moreover, we w...

AbstractReferencesFull Text PDF (441 KB)Views: 142Downloads: 63Citations: 0
Open Access Research Article·pp. 2875–2888·Vol. 28, Issue 7Oct 2025

Comparative analysis of a novel smart contract-based hybrid access control model for blockchain-enabled secure IoT home automation systems

Abhishek Dadhich, Bright Keswani, Dinesh Goyal

Published Online: 31 Oct 2025DOI: 10.47974/JDMSC-2558

In this paper: The rapid growth of Internet of Things (IoT)-enabled smart home environments has amplified the need for robust, scalable, and context-aware access control mechanisms. Traditional Role-Based Access Con...

AbstractReferencesFull Text PDF (521 KB)Views: 213Downloads: 83Citations: 0
Open Access Research Article·pp. 2889–2898·Vol. 28, Issue 7Oct 2025

CyberShield-H : A hybrid sequential deep learning model for robust DDoS mitigation in critical healthcare IoT systems

P. R. Anisha, Kaniti Anjali

Published Online: 31 Oct 2025DOI: 10.47974/JDMSC-2559

In this paper: The growing reliance on Healthcare IoT (H-IoT) systems creates the potential for Distributed Denial of Service (DDoS) attacks on critical services. This research introduces a hybrid deep learning mode...

AbstractReferencesFull Text PDF (931 KB)Views: 111Downloads: 80Citations: 0
Open Access Research Article·pp. 2899–2906·Vol. 28, Issue 7Oct 2025

Spectral graph theory for large-scale network topology optimization in cloud computing

Sumanth Banakar, Venkatesh Ankarla Sri Ramuloo, Lokesh Vegi, Awanit Kumar, Rohit Maheshwari, Nirmal Singh

Published Online: 31 Oct 2025DOI: 10.47974/JDMSC-2560

In this paper: Spectral Graph Theory is a strict mathematical approach for looking at and improving the layout of very big cloud networks.  Using the Laplacian matrix to examine eigenvalues gives us useful informati...

AbstractReferencesFull Text PDF (474 KB)Views: 254Downloads: 86Citations: 0
Open Access Research Article·pp. 2907–2914·Vol. 28, Issue 7Oct 2025

Ring theory applications in coding and error detection

Narayan Naik, Suman M, Rajeshwari. N, Murigendrayya M Hiremath, Gangadhar T G, Shalini M G

Published Online: 31 Oct 2025DOI: 10.47974/JDMSC-2561

In this paper: Ring theory has found profound applications in modern coding and error detection, extending classical results from finite fields to more general algebraic structures. Rings, with their versatile opera...

AbstractReferencesFull Text PDF (364 KB)Views: 417Downloads: 74Citations: 0