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All Journal CAUCHY: Jurnal Matematika Murni dan Aplikasi Science and Technology Indonesia BAREKENG: Jurnal Ilmu Matematika dan Terapan JTAM (Jurnal Teori dan Aplikasi Matematika)
Krisnawati, Vira Hari
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Biochemistry, Genetics & Molecular Biology Chemical Engineering, Chemistry & Bioengineering Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Energy Engineering Environmental Science Materials Science & Nanotechnology Mathematics Mechanical Engineering Physics Transportation

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Energy and Topological Indices of Complete Bipartite Subgraphs Meilina, Kiki Amanda Eka; Hidayat, Noor; Krisnawati, Vira Hari
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 10, No 1 (2025): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI
Publisher : Mathematics Department, Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/cauchy.v10i1.32765

Abstract

This paper investigates the complete bipartite subgraphs induced within the zero-divisor graph of a commutative ring formed by the direct product of three distinct modular integer rings. The set of nonzero zero-divisors is partitioned into six disjoint subsets based on the position of the zero component in each element. Six complete bipartite subgraphs are constructed and analysed by pairing subsets with zeros in different positions. For each subgraph, we compute the energy, Laplacian energy, and three degree-based multiplicative topological indices, namely the Narumi–Katayama index, and the first and second multiplicative Zagreb indices. The results are expressed in closed-form formulas and reveal consistent structural patterns, highlighting the relationship between the algebraic properties of the ring and the graph theoretic characteristics of the induced subgraphs.
Reversible Self-Dual Codes over Finite Field Hidayat, Ardi Nur; Krisnawati, Vira Hari; Alghofari, Abdul Rouf
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 9, No 2 (2024): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI
Publisher : Mathematics Department, Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/ca.v9i2.29116

Abstract

Reversible self-dual code is a linear code which combine the properties from self-dual code and reversible code. Previous research shows that reversible self-dual codes have only been developed over field of order 2 and order 4. In this article, we construct reversible self-dual code over any finite field of order F_q ,  with natural number q=2.  We first examine and prove some of fundamental properties of reversible self-dual code over . After a thorough analysis these, we obtain a new generator matrix of reversible self-dual code.  A new generator matrix is derived from existing self-dual and reversible self-dual code over . It will be shown that a new reversible self-dual over  can be constructs from one and more existing code by specific algebraic methods. Furthermore, using this construction, we determine the minimum distance of reversible self-dual code and ensuring its optimal performance in various applications.
On Group-Vertex-Magic Labeling of Simple Graphs Khuluq, Muhammad Husnul; Krisnawati, Vira Hari; Hidayat, Noor
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 8, No 2 (2023): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI
Publisher : Mathematics Department, Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/ca.v8i2.23621

Abstract

Let A be an Abelian group with identity 0. The A-vertex-magic labeling of a graph G is a mapping from the set of vertices in G to A-{0} such that the sum of the labels of every open neighborhood vertex of v is equal, for every vertex v in G. In this article, we discuss group-vertex-magic labeling of some simple graphs by using the Abelian group Zk, with natural numbers k1. We investigated some classes of simple graphs are path graphs, complete graphs, cyclic graphs, and star graphs. The method we used in this article is literature study and then developing the properties of vertex-magic labeling of some simple graphs, that are path graphs, complete graphs, cyclic graphs, and star graphs. We obtain that complete graphs, cyclic graphs, and star graphs have Zk-vertex-magic labeling, while path graphs have vertex-magic labeling only for n=2,3.
Some Properties of Prime Graph of Cartesian Product of the Ring Krisnawati, Vira Hari; Musyarrofah, Ayunda Faizatul; Hidayat, Noor; Fatimah, Farah Maulidya
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 11, No 1 (2026): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI
Publisher : Mathematics Department, Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/cauchy.v11i1.32154

Abstract

The prime graph of the ring R, PG(R), is a graph whose set of vertices consists of elements of R, and two distinct vertices are adjacent if their product in the ring is zero. In this paper, we study the prime graph of the Cartesian product of rings Zp1 Zp2, where p1 and p2 are distinct prime numbers. We determine several properties of PG(Zp1 Zp2), including its order, size, number of triangles, and Wiener index. Furthermore, we construct the line graph of PG(Zp1 Zp2) and compute the order, size, and Wiener index of L(PG(Zp1 Zp2)).
SMARTPHONE PURCHASING DECISION MAKING USING AN INTERVAL-VALUED INTUITIONISTIC FUZZY AHP APPROACH: A CASE STUDY IN MALANG CITY Hidayat, Noor; Krisnawati, Vira Hari; Abusini, Sobri; Khairi, Desfi Rahmatul
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 20 No 2 (2026): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol20iss2pp1731-1742

Abstract

The advancement of communication technology, particularly in the smartphone industry, has significantly influenced consumer purchasing behavior. This study aims to analyze the priority criteria in smartphone purchasing decisions using the Interval-valued Intuitionistic Fuzzy Analytic Hierarchy Process (IVIF-AHP) method. Data was collected through interviews with three experts in the smartphone industry in Malang City. The analysis results showed that camera quality had the highest weight of , followed by RAM/storage capacity with a weight of , and the multiple SIM feature with a weight of . Although battery life and pricewere also considered, they had lower weights of and , respectively. These findings indicate that consumers prioritize features and quality over price. The application of the IVIF-AHP method allows handling uncertainty and produces more realistic priority weights that can be directly applied in marketing decision-making. This study also provides strategic implications for smartphone manufacturers: focus on promoting camera features and device performance, and consider the multiple-SIM feature in specific markets. In the future, adding other criteria, such as brand or screen size, could provide more comprehensive insights into decision-making.
Prime and Odd Prime Labelings on Cycle-Related Graphs Komarullah, Hafif; Hidayat, Noor; Krisnawati, Vira Hari; Wijaya, Kristiana
Science and Technology Indonesia Vol. 11 No. 2 (2026): April
Publisher : Research Center of Inorganic Materials and Coordination Complexes, FMIPA Universitas Sriwijaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26554/sti.2026.11.2.551-558

Abstract

Graph labeling is the process of determining integer values for vertices, edges, or both, based on certain criteria. Let G be a simple graph with the finite vertex set V(G). Prime labeling of G is a bijection ⍺:V(G)→{1,2,…,|V(G)|} for which each pair of adjacent vertices exhibits relatively prime labels. This concept has been extended to odd prime labeling, defined as a bijection ⍺:V(G)→ {1,3,...,2|V(G)|-1} satisfying the condition that the labels assigned to adjacent vertices are relatively prime labels. A graph that displays a (odd) prime labeling is designated as a (odd) prime graph. A recent conjecture state that every prime graph is an odd prime graph. In the present study, we conduct an investigation concerning prime and odd prime labeling, focusing on a range of cycle-related graphs classes. Our methods include the axiomatic descriptive approach and pattern detection techniques. We show that volcano graphs, C_3 ⨀_(x_1 y_0 ) F_n, C_3⊚K ̅_n, tadpole graphs, palm trees, and C_l ⨀_(x_1 y_0 ) mP_(n+1) are all both prime and odd prime graphs.
Co-Authors Abdul Rouf Alghofari Ambarwati, Aditya Amigo, Royyan Fatimah, Farah Maulidya Hafif Komarullah Hidayat, Ardi Nur Karim, Corina Khairi, Desfi Rahmatul Khuluq, Muhammad Husnul Kristiana Wijaya Marsudi Marsudi Meilina, Kiki Amanda Eka Musyarrofah, Ayunda Faizatul Noor Hidayat, Noor Sahabir, Putri Rosmerry Retno Sapitri, Ni Kadek Emik Sobri Abusini