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INDONESIA
Journal of the Indonesian Mathematical Society
Published by Indonesian Mathematical Society
ISSN : 20868952     EISSN : 24600245     DOI : -
Core Subject : Education,
Mathematics
Journal of the Indonesian Mathematical Society disseminates new research results in all areas of mathematics and their applications. Besides research articles, the journal also receives survey papers that stimulate research in mathematics and their applications.
Arjuna Subject : -
Articles 625 Documents
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Characterization of \mathcal{R}(2K_2,F_n) with Minimum Order for Small n Fajri, Muhammad Rafif; Assiyatun, Hilda; Baskoro, Edy Tri
Journal of the Indonesian Mathematical Society Vol. 31 No. 2 (2025): JUNE
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.v31i2.1871

Abstract

A Fan graph $F_n$ is defined as the graph $P_n+K_1$, where $P_n$ is the path on $n$ vertices. The notation $F \rightarrow (G, H)$ means that if all edges of $F$ are arbitrarily colored by red or blue, then either the subgraph of $F$ induced by all red edges contains a graph $G$ or the subgraph of $F$ induced by all blue edges contains a graph $H.$ Let $\mathcal{R}(G, H)$ denote the set of all graphs $F$ satisfying $F \rightarrow (G, H)$ and for every $e \in E(F),$ $(F - e) \not\rightarrow (G, H).$ In this paper, we propose some properties for a graph $G$ of minimum order that belongs to $\mathcal{R}(2K_2,F_n),$ for $n \geq 3$. We have also found all members of $\mathcal{R}(2K_2,F_n)$ with a minimum order for $n \in [3,7]$.
Signal Processing Of The One-Factor Mean-Reverting Model In Energy System Pramesti, Getut; Saptono, Ristu
Journal of the Indonesian Mathematical Society Vol. 31 No. 2 (2025): JUNE
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.v31i2.1951

Abstract

One of the models that can be considered in the energy system is the one-factor mean-reverting process. We propose the one-factor mean-reverting model with sinusoidal signal processing involved. The frequency component of the model can be estimated with a high-frequency scheme. The estimation of the frequency component is believed to produce a precise estimate. This is because the high-frequency scheme has the potential to handle possible non-linear coefficient cases in a unified way, that is, $nh\to \infty$, and $nh^{2}\to 0$. This paper shows that the frequency component estimator in the one-factor mean-reverting model is strongly consistent with the rate convergence, namely $\sqrt{(nh)^3}$. It is also can be shown that the estimator has a normal approximation with a mean of 0 and variance $\frac{1}{6}(1+\theta^{2})$. We applied the proposed model to the energy systems data.
Fourth Order PDE: Model of Thin Film Flow Involving Surface Tension Wiryanto, Leo Hari; Djohan, Warsoma
Journal of the Indonesian Mathematical Society Vol. 31 No. 2 (2025): JUNE
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.v31i2.1454

Abstract

Surface wave on thin film is considered by involving surface tension. The fluid flows on an inclined channel. The model is based on lubrication theory, and presented in a single equation of the thickness of the fluid as wave movement, and the equation is strongly nonlinear. In solving the model, scaling and linearized processes are applied. So that three physical parameters play an important role in the wave propagation: bottom inclination, length of the scaling and the surface tension. Each of those parameters is represented as a term in the equation. Then, the equation is solved numerically by an implicit finite difference method for the linearized equation, so that the solution can be used to observe the effect of those physical quantities. We found that the surface wave propagates with different speed and reducing the amplitude. When the surface tension is involved, the profile of the wave slightly changes, beside it also effect to the movement of the wave. This is simulated in this paper.
Multi-Decomposition of Product Graphs into Kites and Stars on Four Edges Velusamy, Jothimani; Palanisamy, Hemalatha
Journal of the Indonesian Mathematical Society Vol. 31 No. 2 (2025): JUNE
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.v31i2.1675

Abstract

A decomposition of a graph $G$ is a set of edge-disjoint subgraphs $H_1,H_2,...,H_r$ of $G$ such that every edge of $G$ belongs to exactly one $H_i$. If all the subgraphs in the decomposition of $G$ are isomorphic to a graph $H$ then we say that $G$ is $H$-decomposable. The graph $G$ has an $\{H_1^\alpha,H_2^\beta\}$-decomposition, if $\alpha$ copies of $H_1$ and $\beta$ copies of $H_2$ decompose $G$, where $\alpha$ and $\beta$ are non-negative integers. In this paper, we have obtained the decomposition of $K_m \times K_n$ into $\alpha$ kites and $\beta$ stars on four edges for some of the admissible pairs $(\alpha,\beta)$, whenever $mn(m-1)(n-1) \equiv 0(mod\ 8)$, for $m \geq 3$ and $n \geq 4$. Also, we have obtained the decomposition of $K_m \otimes \overline{K_n}$ into $\alpha$ kites and $\beta$ stars on four edges for some of the admissible pairs $(\alpha,\beta)$, whenever $m(m-1)n^2 \equiv 0(mod\ 8)$, for $m \geq 3$ and $n \geq 4$. Here $K_m \times K_n$ and $K_m \otimes \overline{K_n}$ respectively denotes the tensor and wreath product of complete graphs.
An Economic Order Quantity Model for Flawed Units With Quality Screening and Time Dependent Backlogging Sivaprakash, Ramya; Damotharan, Sivakumar
Journal of the Indonesian Mathematical Society Vol. 31 No. 2 (2025): JUNE
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.v31i2.1706

Abstract

This study introduces an Economic Order Quantity (EOQ) model that addresses inventory systems dealing with imperfect quality items, incorporating both quality screening processes and time-dependent backlogging. Recognizing that a proportion of received items may be defective, the model integrates a screening mechanism to identify and separate flawed units before they reach customers. Additionally, the model considers a backlogging scenario where unmet demand is partially backordered, with the backlogging rate being a function of the waiting time until the next replenishment. The objective is to determine the optimal order quantity and backordering level that minimize the total cost, which includes ordering, holding, screening, backordering and shortage costs. Analytical solutions are derived and numerical examples are provided to illustrate the model's applicability. Sensitivity analyses are conducted to examine the impact of key parameters on the optimal solution.
The Zero Product Probability of Some Finite Ring of Matrices Based on the Order of the Annihilator Zaid, Nurhidayah; Sarmin, Nor Haniza; Khasraw, Sanhan Muhammad Salih
Journal of the Indonesian Mathematical Society Vol. 31 No. 2 (2025): JUNE
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.v31i2.1838

Abstract

An annihilator is defined as the set of pairs of elements in a ring R in which the product of the elements in the pair is the zero element of R. In this paper, we aim to determine the order of the annihilator of the finite ring of matrices of dimension two over integers modulo prime, M2(Zp). The order of the annihilator is determined by using number theory, specifically the linear congruence method. Another subject that we discuss in this paper is the zero product probability of a finite ring. The zero product probability is defined as the probability that two elements of a finite ring have product zero. Based on the order of the annihilator, the general formula of the zero product probability of M2(Zp) is determined.
Simulation of Tsunami Waves Generated by Landslide Movements on a Flat Bottom Sulvianuri, Rani; Setyowisnu, Glagah Eskacakra; Pudjaprasetya, Sri Redjeki
Journal of the Indonesian Mathematical Society Vol. 31 No. 1 (2025): MARCH
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.v31i1.1897

Abstract

Disasters like tsunamis are typically triggered by tectonic earthquakes, volcanic eruptions, or landslides. Tsunami waves can hit the coast with enormous energy, causing great damage. This study focuses on landslide-generated wave phenomena; the analytical formula of the linear dispersive model is adopted and used to simulate the development of free surface waves due to bottom landslides. Various types of landslide motion were simulated over a flat bottom depth and the resulting surface wave forms were examined and compared with the far-field leading wave type of solution. In addition, the effect of wave dispersion on the resulting wave pattern was investigated.
Energy and Degree Sum Energy of Non-coprime Graphs on Dihedral Groups Karang, Gusti Yogananda; Wardhana, I Gede Adhitya Wisnu; Alimon, Nur Idayu; Sarmin, Nor Haniza
Journal of the Indonesian Mathematical Society Vol. 31 No. 1 (2025): MARCH
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.v31i1.1900

Abstract

Research on graphs has increasingly garnered attention in recent years.This research focuses on graph representations, with particular emphasis on non-coprime graphs within the dihedral group D_{2n} with n = p^k, prime numbers, $k \in \mathbb{Z}^+$. The non-coprime graph of a group G is defined as a graph in which the vertex set is G \{e}, and two distinct vertices r and s are connected by an edge if gcd(|r|,|s|) =\= 1. Specifically, this research examines the adjacency matrix energy and the degree sum energy of non-coprime graphs on dihedral groups. With the extensive application of chemical topological graphs in the field of chemistry, it is hoped that they can assist in the numerical analysis of chemical compounds used in healthcare, such as the analysis of vaccines for the COVID-19 epidemic.
Diachromatic Number of Some Acyclic Digraphs Raventino, Raventino; Susanti, Yeni
Journal of the Indonesian Mathematical Society Vol. 31 No. 3 (2025): SEPTEMBER
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.v31i3.1710

Abstract

A vertex coloring that ensures every pair of different colors is represented at least once is termed complete coloring. The diachromatic number of an acyclic digraph denotes the maximum number of colors required for its complete coloring. This study delves into the diachromatic numbers of lobster digraphs, fireworks digraphs, banana tree digraphs, and coconut tree digraphs under specific and arbitrary directional orientations.
On Basic Ideal Generated by Vertices in Cycles without Exits in Leavitt Path Algebras Wardati, Khurul; Futhona, Aulia Khifah
Journal of the Indonesian Mathematical Society Vol. 31 No. 3 (2025): SEPTEMBER
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.v31i3.1757

Abstract

Vertices located on cycles without exits have a role in constructing ideals in the Leavitt path algebras over a commutative unital ring. One key reason is that the set of such vertices is hereditary. In addition, an ideal of the commutative unital ring can be combined with these vertices to form an ideal in the Leavitt path algebra. This article focuses on creating a (basic) ideal in the Leavitt path algebras, which is generated by vertices on cycles without exits.

Page 60 of 63 | Total Record : 625

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