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Journal of Fundamental Mathematics and Applications (JFMA)

jfma
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Published by Universitas Diponegoro

ISSN : 26216019 EISSN : 26216035 DOI : https://doi.org/10.14710

Core Subject : Science,

Decision Sciences, Operations Research & Management

Journal of Fundamental Mathematics and Applications (JFMA) is an Indonesian journal published by the Department of Mathematics, Diponegoro University, Semarang, Indonesia. JFMA has been published regularly in 2 scheduled times (June and November) every year. JFMA is established to highlight the latest update of mathematical researches in both theoretical and applied works. The scope in JFMA is pure mathematics and applied mathematics. All accepted papers will be published both in print and online versions. The online version can be accessed via the DOI link of each article. The print version can be ordered to the journal administrator. JFMA welcomes both theoretical and applied research work to be published in the journal. The topics include but are not limited to: (1) Mathematical analysis and geometry (2) Algebra and combinatorics (3) Discrete Mathematics (4) Mathematical physics (5) Statistics (6) Numerical method and computation (7) Operation research and optimization (8) Mathematical modeling (9) Mathematical Logic in Computer Science, Informatics, etc.

Arjuna Subject : Matematika - Matematika Terapan

Articles 12 Documents

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Search results for , issue "Vol 4, No 1 (2021)" : 12 Documents clear

IMPLEMENTASI KRIPTOGRAFI KURVA ELIPTIK ELGAMAL DI LAPANGAN GALOIS PRIMA PADA PROSES ENKRIPSI DAN DEKRIPSI BERBANTUAN SOFTWARE PYTHON Ummu Wachidatul Latifah; Puguh Wahyu Prasetyo
Journal of Fundamental Mathematics and Applications (JFMA) Vol 4, No 1 (2021)
Publisher : Diponegoro University

Perkembangan teknologi memberikan dampak terhadap kemajuan di segala bidang kehidupan manusia terutama dalam bidang informasi. Hal ini memberikan dampak positif dan negatif. Salah satu dampak positifnya adalah mudahnya bertukar informasi dari yang bersifat umum atau rahasia melalui internet. Dampak negatifnya adalah data yang bersifat rahasia menjadi kurang aman dan dapat disalahgunakan oleh pihak yang tidak berwenang. Kriptografi kurva eliptik El-Gamal (ECC: Eliptic Curve Cryptosystem) memberikan solusi untuk keamanan suatu informasi. ECC merupakan salah satu metode kriptografi kunci publik yang mempunyai tingkat keamanan tinggi dibandingkan dengan algoritma kunci publik lainnya. Tujuan dari penelitian ini adalah memahami konsep kriptografi kurva eliptik El-Gamal yang akan didefinisikan di Galois field prima. Hasil dari penelitian ini, yaitu penggunaan kurva eliptik El-Gamal di Galois field prima untuk proses pembentukan kunci, proses enkripsi dan proses dekripsi pada suatu data dengan menggunakan Python.

DETERMINAN MATRIKS CENTROSYMMETRIC BENTUK KHUSUS ORDO 4×4 BERPANGKAT BILANGAN BULAT POSITIF Ade Novia Rahma; Esty Erizona; Rahmawati Rahmawati
Journal of Fundamental Mathematics and Applications (JFMA) Vol 4, No 1 (2021)
Publisher : Diponegoro University

Penelitan ini bertujuan untuk menentukan determinan dari suatu matriks centrosymmetric bentuk khusus ordo berpangkat bilangan bulat positif. Dalam menentukan determinan matriks centrosymmetric bentuk khusus terdapat beberapa langkah yang perlu dikerjakan. Pertama perhatikan bentuk pola matriks centrosymmetric bentuk khusus sampai sehingga didapat bentuk umumnya kemudian dibuktikan dengan induksi matematika. Kedua perhatikan bentuk pola determinan matriks centrosymmetric bentuk khusus sampai sehingga didapat bentuk umumnya lalu dibuktikan dengan pembuktian langsung. Hasil akhir dalam penelitian ini diperoleh bentuk umum matriks, determinan dari matriks centrosymmetric berpangkat bilangan bulat positif dengan ganjil dan genap.

LOGISTIC MODEL DEVELOPMENT OF COVID-19 SPREAD WITH PHYSICAL DISTANCING INTERVENTION Okky Widya Arditya; Widowati Widowati; Sutimin Sutimin; R. Heru Tjahjana; Priyo Sidik Sasongko
Journal of Fundamental Mathematics and Applications (JFMA) Vol 4, No 1 (2021)
Publisher : Diponegoro University

In early 2020, covid-19 spread fast in the worldwide and cause the high death. The disease started from the Asian region which resulted in a viral pandemic in 2020. In order to anticipate the increasing of the cases, a strategy is needed to inhibit its transmission. The mathematical model approach is important tool for predicting of covid-19 spread in populations. In this paper we propose and analyze the dynamical behaviour of a developed logistic model by considering the effect of the contact patterns in reducing the covid-19 spread process. To verify the developed logistic model, numerical simulation was given with case study of covid-19 spread for patients under supervision in Central Java Province, Indonesia. Based on simulation results, it was found that physical distancing can reduce the growth of the covid-19 spread for patient under supervision. It can be seen from the number of covid-19 spread for patients under supervision with physical distancing intervention smaller compared to without physical distancing intervention.

NILAI KETAKTERATURAN TOTAL DARI EMPAT COPY GRAF BINTANG Corry Corazon Marzuki; Yusnita Sari; Abdussakir Abdussakir; Fitri Aryani
Journal of Fundamental Mathematics and Applications (JFMA) Vol 4, No 1 (2021)
Publisher : Diponegoro University

Misalkan adalah suatu graf dan adalah bilangan bulat positif. Pelabelan- total pada graf adalah suatu pemetaan Bobot titik dinyatakan dan bobot sisi dinyatakan Suatu pelabelan- total dikatakan tak teratur total, jika bobot setiap titik berbeda dan bobot setiap sisi berbeda. Nilai ketakteraturan total (totally irregularity strength) dari graf dinotasikan dengan adalah nilai minimum atau label terbesar minimum yang digunakan untuk melabeli graf dengan pelabelan-k total tak teratur total. Dalam makalah ini diperoleh nilai ketakteraturan total 4 copy graf bintan Sn adalah dengan merupakan bilangan bulat positif dan

A SHORT NOTE ON FIBONACCI NUMBERS IN A GENERALIZED PYTHAGOREAN TRIPLES Emily L Casinillo; Leomarich F Casinillo
Journal of Fundamental Mathematics and Applications (JFMA) Vol 4, No 1 (2021)
Publisher : Diponegoro University

This paper aims to construct a new formula that generates a Fibonacci numbers in a generalized Pythagorean triples. In addition, the paper formulates some Fibonacci identities and discuss some important findings.

BILANGAN TERHUBUNG PELANGI PADA GRAF SALJU (Sn_m) Cindy Aisa Putri Noor; Lailany Yahya; Salmun K Nasib; Nisky Imansyah Yahya
Journal of Fundamental Mathematics and Applications (JFMA) Vol 4, No 1 (2021)
Publisher : Diponegoro University

Suatu graf dikatakan terhubung pelangi jika terdapat lintasan antara dua titik yang setiap sisi-sisinya memiliki warna berbeda. Misalkan terdapat suatu graf G tak trivial dengan definisi warna c:E(G)->{1,2,3,...}, maka bilangan terhubung pelangi dari graf G yaitu minimum k dari pewarnaan-k pelangi yang digunakan untuk mewarnai graf G dan dinotasikan dengan rc(G). Tujuan dari penelitian ini yaitu untuk menentukan bilangan terhubung pelangi pada graf salju (Sn_m). Metode yang digunakan pada penelitian ini yaitu metode studi literatur dengan prosedur sebagai berikut; menggambar graf salju, mencari pola bilangan terhubung pelangi, dan membuktikan teorema bilangan terhubung pelangi pada graf salju (Sn_m). Sehingga diperoleh rc(Sn_m)=m+1 untuk 3<=m<=7 dan m={9,10} dan rc(Sn_m)=m untuk m=8 dan m>=11.

ON EVEN-TO-ODD MEAN LABELING OF SOME TREES Leomarich F Casinillo
Journal of Fundamental Mathematics and Applications (JFMA) Vol 4, No 1 (2021)
Publisher : Diponegoro University

Let G=(V(G), E(G)) be a connected graph with order |V(G)|=p and size |E(G)|=q. A graph G is said to be even-to-odd mean graph if there exists a bijection function phi:V(G) to {2, 4, ..., 2p} such that the induced mapping phi^*:E(G) to {3, 5, ..., 2p-1} defined by phi^*(uv)=[phi(u)+phi(v)]/2 for all uv element of E(G) is also bijective. The function is called an even-to-odd mean labeling of graph . This paper aimed to introduce a new technique in graph labeling. Hence, the concepts of even-to-odd mean labeling has been evaluated for some trees. In addition, we examined some properties of tree graphs that admits even-to-odd mean labeling and discussed some important results.

CONDITIONS ON UNIQUENESS OF LIMIT POINT AND COMPLETENESS IN CONE POLYGONAL METRIC SPACES Sie, Evan Setiawan; Mahmud Yunus
Journal of Fundamental Mathematics and Applications (JFMA) Vol 4, No 1 (2021)
Publisher : Diponegoro University

This paper discusses cone polygonal metric spaces. We analyze some characteristics derived from convergence and Cauchyness of sequences. Our result consists of some conditions on uniqueness of limit point and completeness in cone polygonal metric spaces.

REDUCING THE CLOCKWISE-ALGORITHM TO k LENGTH CLASSES Marco Ripà
Journal of Fundamental Mathematics and Applications (JFMA) Vol 4, No 1 (2021)
Publisher : Diponegoro University

In the present paper, we consider an optimization problem related to the extension in k-dimensions of the well known 3x3 points problem by Sam Loyd. In particular, thanks to a variation of the so called “clockwise-algorithm”, we show how it is possible to visit all the 3^k points of the k-dimensional grid given by the Cartesian product of (0, 1, 2) using covering trails formed by h(k)=(3^k-1)/2 links who belong to k (Euclidean) length classes. We can do this under the additional constraint of allowing only turning points which belong to the set B(k):={(0, 3) x (0, 3) x ... x (0, 3)}.

TOPOLOGI DI RUANG METRIK PSEUDO-b_s Zahra Aulia Emeralda; Christiana Rini Indrati
Journal of Fundamental Mathematics and Applications (JFMA) Vol 4, No 1 (2021)
Publisher : Diponegoro University

Dalam tulisan ini dibahas mengenai beberapa sifat metrik pseudo-$b_s$ dan topologi dalam ruang metrik pseudo-$b_s$ di antaranya kekonvergenan-$b_s$ barisan, barisan Cauchy-$b_s$, ruang metrik pseudo-$b_s$ lengkap, serta himpunan tertutup-$b_s$.

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Sutrisno Sutrisno

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+62247474754

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Jl. Prof Soedarto, SH, Tembalang, Semarang, Indonesia 50275

Location
Kota semarang,

Jawa tengah

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Home Page

OAI Link

Editorial Team

Contact

Reviewer

Google Scholar

Contact Name Sutrisno Sutrisno

Contact Email s.sutrisno@live.undip.ac.id

Phone +62247474754

Journal Mail Official admin.math@live.undip.ac.id

Editorial Address Jl. Prof Soedarto, SH, Tembalang, Semarang, Indonesia 50275

Location Kota semarang, Jawa tengah INDONESIA

Abstract

Abstract

Abstract

Abstract

Abstract

Abstract

Abstract

Abstract

Abstract

Abstract

Contact Name
Sutrisno Sutrisno

Contact Email
s.sutrisno@live.undip.ac.id

Phone
+62247474754

Journal Mail Official
admin.math@live.undip.ac.id

Editorial Address
Jl. Prof Soedarto, SH, Tembalang, Semarang, Indonesia 50275

Location
Kota semarang,

Jawa tengah

INDONESIA