TARU PUBLICATIONS

Peer-reviewed research in the mathematical & computing sciences

TARU PUBLICATIONS publishes scholarly journals in mathematics, statistics, cryptography, optimization, scientometrics, and computing — advancing rigorous research and connecting scholars worldwide.

7 journals·3,532 articles· Indexed in Crossref & Google Scholar

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Open Access Research Article·pp. 1–11·Online FirstOct 2026

Independent 2-domination polynomials in complete bipartite graphs

Hamed Mahmoodzadeh, Saied Mohammadian Semnani

Published Online: 06 Oct 2026DOI: 10.47974/JIOS-2166

In this paper: This paper investigates the independent 2-domination polynomial of complete bipartite graphs Km, n. We establish closed formulas for this polynomial and describe all independent 2-dominating sets in s...

AbstractReferencesFull Text PDF (296 KB)Views: 14Downloads: 13Citations: 0
Open Access Research Article·pp. 1–20·Online FirstOct 2026

New classes of permutation pentanomials over 𝔽52n

Shalini Gupta, Sagar Vinayak, Manpreet Singh

Published Online: 05 Oct 2026DOI: 10.47974/JDMSC-2710

In this paper: Developing novel classes of permutation polynomials(PPs) has become a prominent focus in recent mathematical research. We introduce new classes of permutation pentanomials defined on 𝔽52n through the...

AbstractReferencesFull Text PDF (644 KB)Views: 25Downloads: 23Citations: 0
Open Access Research Article·pp. 1–12·Online FirstOct 2026

Generalizing some properties of differential uniformity and nonlinearity of permutations on finite commutative rings

Sonu Pal, Anupama Panigrahi, Saibal. K. Pal

Published Online: 05 Oct 2026DOI: 10.47974/JDMSC-2670

In this paper: This study examines two essential characteristics of permutations within algebraic frameworks. The initial emphasis is on the full differential uniformity of permutations within a finite commutative r...

AbstractReferencesFull Text PDF (484 KB)Views: 29Downloads: 26Citations: 0
Open Access Research Article·pp. 1–16·Online FirstOct 2026

A class of Zr-simplex codes and its gray images

J. Mahalakshmi, J. Prabu, M. S. Sooraj Subrahmaniyan, K. M. Sanmaya

Published Online: 03 Oct 2026DOI: 10.47974/JDMSC-2624

In this paper: The various parameters of Zr-Simplex code under the Homogeneous and Lee weight metric for some particular cases of r with rank k are considered. Some fundamental properties like weight distributions o...

AbstractReferencesFull Text PDF (391 KB)Views: 37Downloads: 22Citations: 0
Open Access Research Article·pp. 1–9·Online FirstOct 2026

Classification of n-dimensional generalized Heisenberg Lie algebras of rank (n – 4)

Hamid Darabi, Mahdi Imanparast

Published Online: 03 Oct 2026DOI: 10.47974/JDMSC-2611

In this paper: In this paper, we classify all n-dimensional generalized Heisenberg Lie algebras of rank (n – 4), and to this end, we demonstrate that for any n-dimensional generalized Heisenberg Lie algebra, if the...

AbstractReferencesFull Text PDF (649 KB)Views: 32Downloads: 27Citations: 0
Open Access Research Article·pp. 1–29·Online FirstOct 2026

3-parameter generalized quaternions with generalized Tetranacci numbers components

Zehra Işbilir, Bahar Doğan Yazıcı, Murat Tosun

Published Online: 03 Oct 2026DOI: 10.47974/JDMSC-2307

In this paper: In this study, our aim is to investigate a new special number family, which is called the 3-parameter generalized quaternions with generalized Tetranacci numbers components with both non-negative and...

AbstractReferencesFull Text PDF (1.1 MB)Views: 29Downloads: 30Citations: 0

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