Journal of Prime Research in Mathematics

Journal of Prime Research in Mathematics (JPRM) ISSN: 1817-3462 (Online) 1818-5495 (Print) is an HEC recognized, Scopus indexed, open access journal which provides a plate forum to the international community all over the world to publish their work in mathematical sciences. JPRM is very much focused on timely processed publications keeping in view the high frequency of upcoming new ideas and make those new ideas readily available to our readers from all over the world for free of cost. Starting from 2020, we publish one Volume each year containing two issues in June and December. The accepted papers will be published online immediate in the running issue. All issues will be gathered in one volume which will be published in December of every year.

Latest Published Articles

On the representations of the braid group and the welded braid group

JPRM-Vol. 19 (2023), Issue 1, pp. 34 – 43 Open Access Full-Text PDF
Rana S. Kahil, Mohammad N. Abdulrahim
Abstract: We study the composition of F. R. Cohen’s map Bn → Bnk with the standard representation of Bnk, where Bn is the braid group on n strings. We prove that the obtained representation of Bn is isomorphic to the direct sum of k copies of the standard representation of Bn. A similar work is done for the welded braid group 𝓌Bn.
Read Full Article

On the solutions of 2x + 2y = z2 in the Fibonacci and Lucas numbers

JPRM-Vol. 19 (2023), Issue 1, pp. 27 – 33 Open Access Full-Text PDF
Hayder R. Hashim
Abstract: Consider the Diophantine equation 2x + 2y = z2, where x, y and z are nonnegative integers. As thisequation has infinitely many solutions, in this paper we study its solutions in case where the unknowns represent Fibonacci and/or Lucas numbers. In other words, we completely resolve the equation in case of (x, y, z) ∈ {(Fi, Fj , Fk),(Fi, Fj ,Lk),(Li,Lj ,Lk),(Li,Lj , Fk),(Fi,Lj ,Lk),(Fi,Lj , Fk)} with i, j, k ≥ 1 and Fn and Ln denote the general terms of Fibonacci and Lucas numbers, respectively.
Read Full Article

Sombor indices of molecular graphs and some derived graphs of V -phenylenic nanotubes and nanotori

JPRM-Vol. 19 (2023), Issue 1, pp. 14 – 26 Open Access Full-Text PDF
Setareh Javame, Massoud Ghods
Abstract: Carbon nanotubes are widely used in various fields such as composites, energy devices, electronic applications, and medical applications. The most commonly used nanotubes and nanotubes are V -phenylenic nanotubes and nanotori. Topological analysis of a molecule involves translating its molecular structure into a unique number. In this article, Sombor indices for molecular graph, line graph, and subdivision graph of the V -phenylenic nanotubes and nanotori are calculated.
Read Full Article

Solving Split Equality Fixed Point of Nonexpansive Semigroup and split equality minimization Problems in real Hilbert Space

JPRM-Vol. 19 (2023), Issue 1, pp. 1 – 13 Open Access Full-Text PDF
Hammed Anuoluwapo Abassa, Ojen Kumar Narain
Abstract: In this article, we study the split equality problem involving nonexpansive semigroup and convex minimization problem. Using a Halpern iterative algorithm, we establish a strong convergence result for approximating a common solution of the aforementioned problems. The iterative algorithm introduced in this paper is designed in such a way that it does not require the knowledge of the operator norm. We display a numerical example to show the relevance of our result. Our result complements and extends some related results in literature.
Read Full Article

A fixed-point approach to a multi-group SEIRV epidemic model

JPRM-Vol. 18 (2022), Issue 2, pp. 144 – 151 Open Access Full-Text PDF
Amelia Bucur
Abstract: Epidemics was always great problems in the human history and mathematicians have been challenged to bring their contribution to the management of epidemics, by using their abstract concepts in studying and forecasting their evolution. Compartmental models, have been remarkable for analysis the spread of epidemics. This paper has three objectives: to purpose a multi-group SEIRV epidemic model for studying the spread of an epidemics, to present conditions of existence for a solution to the purposed generalized SEIRV model and an example of simulations. The principal conclusion is that, the theory of fixed points can be used for the analysis of epidemics. The results of this paper adapt the results obtained in (Bucur, 2022, in International Journal of Advance Study and Research Work (IJASRW) 5(11)) and in (Guran, Bota and Naseem, 2020, in Symmetry 12, 856) to a generalization of the SEIR model.
Read Full Article

Realizable degree sequences of inner dual graphs of benzenoid systems

JPRM-Vol. 18 (2022), Issue 2, pp. 125 – 143 Open Access Full-Text PDF
Faqir M. Bhatti, Hasan Baloch, Mehar Ali Malik, Rameez Ragheb
Abstract: An inner dual graph of a planar rigid benzenoid (hexagonal) system is a subgraph of the triangular lattice with the constraint that any two adjacent faces in the corresponding hexagonal system must be connected via an edge in the inner dual. The maximum degree of any vertex in an inner dual graph of a hexagonal system is 6. In contrast with the already existing algorithms in the literature that are used to check a given degree sequence to be graphically realizable, in this paper, we use a a simple technique to check the realizable degree sequences of inner dual graphs of benzenoid systems that form a rich class of molecular graphs in theoretical chemistry. We restrict the maximum degree to 3 and identify, by providing necessary and sufficient conditions on the values of α, β and γ, all the degree sequences of the form d = (3α, 2β, 1γ) that are graphically (inner dual of planar rigid hexagonal system) realizable. That is, we provide general constructions of the graphs (inner dual of planar rigid hexagonal system) realizing the degree sequences of the form d = (3α, 2β, 1γ).
Read Full Article

Volume 19 (2023)

Volume 18 (2022)

Volume 17 (2021)

Volume 16 (2020)

Volume 15 (2019)

Volume 14 (2018)

Volume 13 (2017)

Volume 12 (2016)

Volume 11 (2015)

Volume 10 (2014)

Volume 09 (2013)

Volume 08 (2012)

Volume 07 (2011)

Volume 06 (2010)

Volume 05 (2009)

Volume 04 (2008)

Volume 03 (2007)

Volume 02 (2006)

Volume 01 (2005)