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
Taru Online First

Online First Articles

Peer-reviewed, citable articles published ahead of their issue.

Open Access Research Article·pp. 1–5·Online FirstSep 2026

Results for the series of the resolution of the partition (11,8,3)

Noor Alhuda Samir Salem, Niran Sabah Jasim

Published Online: 04 Sep 2026DOI: 10.47974/JDMSC-2454

In this paper: By applying Capelli identities, place polarization and diagrams for a free ℛ-module ℱ where ℛ has identity and 𝒟ℱi be the divided power algebra of degree i. We prove the complexness sequence of the co...

AbstractReferencesFull Text PDF (427 KB)Views: 51Downloads: 45Citations: 0
Open Access Research Article·pp. 1–12·Online FirstSep 2026

Fuzzy computational analysis of the backbone DNA network using fuzzy topological indices

Muhammad Asad Ali, Mankagna Albert Diompy, Shobha Veerangouda Patil, Muhammad Shoaib Sardar, Muhammad Idrees, Mohammad Reza Farahani, Mehdi Alaeiyan, Javad Vahidi et al.

Published Online: 04 Sep 2026DOI: 10.47974/JDMSC-2457

In this paper: Fuzzy topological indices have a significant impact and are gaining attention due to their multiple applications in various scientific domains and daily life fields. These indices have also been thoro...

AbstractReferencesFull Text PDF (667 KB)Views: 63Downloads: 49Citations: 0
Open Access Research Article·pp. 1–12·Online FirstSep 2026

On edge metric dimension of chemical chains

Beenish Amjad, Sarah Abdul Hameed, Abdulkhaleq Husham Yousif, Deeba Afzal, Saima Mustafa, Mohammad Reza Farahani, Mehdi Alaeiyan, Murat Cancan

Published Online: 04 Sep 2026DOI: 10.47974/JDMSC-2299

In this paper: The fundamentals of edge metric dimension are examined in this study, along with constraints for various graph types and algorithms for quickly computing edge-resolving sets. The EMD of a graph is an...

AbstractReferencesFull Text PDF (552 KB)Views: 94Downloads: 56Citations: 0
Open Access Research Article·pp. 1–11·Online FirstSep 2026

Metric dimension of linear polyomino chain

Aqsa Naeem, Sarah Abdul Hameed, Hussam Majid Shihab Alobaidi, Deeba Afzal, Mohammad Reza Farahani, Mehdi Alaeiyan, Murat Cancan

Published Online: 04 Sep 2026DOI: 10.47974/JDMSC-2300

In this paper: Metric dimension has applications in real life including robots, fiber optics, network designs, chemical structures etc. Metric dimension of graph is minimum amount of vertices required to construct r...

AbstractReferencesFull Text PDF (188 KB)Views: 96Downloads: 46Citations: 0
Open Access Research Article·pp. 1–13·Online FirstAug 2026

Some results on the graph associated to centralizer of elements of a group

S. S. Mahroughi, S. M. Jafarian Amiri, A. Erfanian

Published Online: 27 Aug 2026DOI: 10.47974/JDMSC-2400

In this paper: The aim of this paper is to give some results on the graph associated to a finite group G and subset S of G – Z(G) as defined in [9] with vertex set consisting are all elements in G – (Z(G) ∪ S). Two...

AbstractReferencesFull Text PDF (495 KB)Views: 71Downloads: 83Citations: 0
Open Access Research Article·pp. 1–15·Online FirstAug 2026

Total reflexive edge irregularity strength of staircase graphs and related graphs

M. Basher

Published Online: 27 Aug 2026DOI: 10.47974/JDMSC-2689

In this paper: Ryan proposed the concept of reflexive edge irregular labeling of graphs in 2017. The reflexive edge irregular total m-labeling on graph Ω with vertex set VΩ and edge set EΩ is defined as a mapping ve...

AbstractReferencesFull Text PDF (780 KB)Views: 44Downloads: 54Citations: 0
Open Access Research Article·pp. 1–16·Online FirstJun 2026

A multi-moduli approach towards enhancing the security of multi-prime RSA

Jay Mehta, Hitarth Rana

Published Online: 19 Jun 2026DOI: 10.47974/JDMSC-2309

In this paper: The popular RSA cryptosystem, based on the problem of integer factorization can widely be seen in practice even today. Since its inception, several enhancements and generalizations of RSA are proposed...

AbstractReferencesFull Text PDF (1.2 MB)Views: 104Downloads: 112Citations: 0
Open Access Research Article·pp. 1–15·Online FirstMay 2026

Some results in the multiplicative version of Sombor index

Fateme Movahedi

Published Online: 22 May 2026DOI: 10.47974/JDMSC-2619

In this paper: For a graph 𝒜 including vertex set V𝒜 and edge set E𝒜, the Sombor index is defined as SO(𝒜) = ∑wz∈E𝒜‍ √η𝒜 (w)2 + η𝒜 (z)2  where η𝒜 (w) is the degree of w in 𝒜.  This study focus on the multiplicative...

AbstractReferencesFull Text PDF (568 KB)Views: 111Downloads: 89Citations: 0
Open Access Research Article·pp. 1–13·Online FirstMay 2026

Euler Sombor energy of a graph

Fateme Movahedi, Mohammad Hadi Akhbari

Published Online: 12 May 2026DOI: 10.47974/JDMSC-2601

In this paper: This paper defines and calculates the Euler Sombor energy of a graph by summing the absolute values of the eigenvalues derived from its Euler Sombor matrix. This matrix, constructed based on vertex de...

AbstractReferencesFull Text PDF (395 KB)Views: 114Downloads: 107Citations: 0
Open Access Research Article·pp. 1–36·Online FirstMay 2026

sup-Hesitant fuzzy ideals and bi-ideals of semigroups

Pongpun Julatha, Thiti Gaketem, Pannawit Khamrot, Ronnason Chinram, Aiyared Iampan

Published Online: 12 May 2026DOI: 10.47974/JDMSC-1860

In this paper: As a generalization of the concept of an interval-valued fuzzy bi-ideal (respectively, subsemigroup, generalized bi-ideal, left ideal, right ideal) of a semigroup, the concept of a sup-hesitant fuzzy...

AbstractReferencesFull Text PDF (1,016 KB)Views: 114Downloads: 85Citations: 0
Open Access Research Article·pp. 1–18·Online FirstMay 2026

Computational algorithms for determinant evaluation of cyclic m-diagonal Toeplitz matrices

Maryam Shams Solary, Ensieh Sadeghy

Published Online: 11 May 2026DOI: 10.47974/JDMSC-2592

In this paper:  Cyclic m-diagonal matrices possessing a Toeplitz structure have been extensively studied in the contemporary literature. In this work, we propose two efficient numerical procedures for calculating th...

AbstractReferencesFull Text PDF (480 KB)Views: 94Downloads: 90Citations: 0
Open Access Research Article·pp. 1–18·Online FirstApr 2026

Extremal chemical trees with given number of vertices of maximum degree for degree-based topological indices

Memoona Ahmad, Iqra Jahangir, Sultan Ahmad, Rashid Farooq

Published Online: 01 Apr 2026DOI: 10.47974/JDMSC-2305

In this paper: We define the general sum index for a graph G as follows:  GSl,γ (G) = ∑ab∈E(G)‍ γ (dG (a)2/γ + dG (b)2/γ)l where dG(a) is the degree of a vertex a and, l and γ are non-zero real numbers. In this pape...

AbstractReferencesFull Text PDF (887 KB)Views: 152Downloads: 75Citations: 0