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Polinomial Karakteristik dari Graf Prisma Firmansah, Fery
Prosiding Konferensi Nasional Penelitian Matematika dan Pembelajarannya 2020: Prosiding Konferensi Nasional Penelitian Matematika dan Pembelajarannya
Publisher : Universitas Muhammadiyah Surakarta

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Abstract

Graf prisma
Pelabelan Harmonis Ganjil pada Gabungan Graf Ular dan Graf Ular Berlipat Firmansah, Fery
Prosiding Konferensi Nasional Penelitian Matematika dan Pembelajarannya 2016: Prosiding Konferensi Nasional Penelitian Matematika dan Pembelajarannya
Publisher : Universitas Muhammadiyah Surakarta

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Abstract

Graf       GEGVG,  dengan GV adalah himpunan simpul dan GE adalah himpunan busur disebut sebagai graf ) , ( q p G jika memiliki   GVp  simpul dan   GEq  busur. Graf ) , ( q p G disebut sebagai graf harmonis ganjil jika terdapat fungsi f :VG0,1,2,...,2q 1 yang bersifat injektif sedemikian sehingga menginduksi suatu fungsi :   1,3,5,...,2 1 * f E G  q  yang bersifat bijektif, yang didefinisikan oleh f uv  f u f v * dan fungsi f disebut sebagai fungsi pelabelan harmonis ganjil dari graf G( p,q) . Graf ular 4 kC dengan 1  k adalah graf terhubung dengan k blok yang memiliki titik potong blok berupa lintasan dan setiap k blok isomorfik dengan graf lingkaran 4 C . Graf 4 4 kC kC  dengan 1 k adalah gabungan dua graf ular 4 kC dengan 1  k . Graf lingkaran berlipat   r C4 dengan 1  r adalah graf yang dibentuk dari graf lingkaran 4 C dengan himpunan simpul   0 1 2 1 u ,v ,v ,u dengan menambahkan simpul baru 2 2 2 2 1 1 1 2 1 1 , ,..., , , ,..., r r w w w w w w yang terhubung dengan simpul 0 u dan 1 u .Graf ular berlipat   r kC4 dengan 1  k dan 1  r adalah graf terhubung dengan k blok yang memiliki titik potong blok berupa lintasan dan setiap k blok isomorfik dengan graf lingkaran berlipat   r C4 dengan r 1 . Pada makalah ini akan diberikan pelabelan harmonis ganjil pada gabungan graf ular 4 4 kC kC  dengan 1 k dan graf ular berlipat   r kC4 dengan 1  k dan 1  r sedemikian sehingga gabungan graf ular 4 4 kC kC  dengan 1 k dan graf ular berlipat   r kC4 dengan 1  k dan 1  r adalah graf harmonis ganjil.
GeoGebra utilization training for visualization of solid geometry volume formula constructions for mathematics teachers Yuwono, Muhammad Ridlo; Triyono, Triyono; Wijayanti, Septiana; Tasari, Tasari; Sungkono, Joko; Syaifuddin, M. Wahid; Yuliana, Yuliana; Firmansah, Fery; Perdana, Muhammad Ikhsan Habib; Prameswari, Lala Areta
Community Empowerment Vol 10 No 3 (2025)
Publisher : Universitas Muhammadiyah Magelang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31603/ce.12333

Abstract

This community service was conducted to improve mathematics teachers' skills in using GeoGebra to visualize the volume formula constructions of solid geometry shapes, particularly cubes, cuboids, and pyramids. The service activity was packaged in the form of training conducted online from July 20, 2024, to July 27, 2024, via Zoom Meeting. The results of this workshop showed that participants were able to use the tools available in GeoGebra to create visualizations of the volume formula constructions of solid geometry shapes. This activity had a positive impact on increasing the knowledge and skills of mathematics teachers in utilizing GeoGebra as a learning medium for geometry materials.
ANALISIS KESULITAN MAHASISWA DALAM MENGERJAKAN SOAL ELIPS Yuwono, Muhammad Ridlo; Firmansah, Fery; Syaifuddin, M. Wahid
Symmetry: Pasundan Journal of Research in Mathematics Learning and Education Vol. 10 No. 1 (2025): Symmetry: Pasundan Journal of Research in Mathematics Learning and Education
Publisher : Mathematics Education Study Program, FKIP, Universitas Pasundan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23969/symmetry.v10i1.27500

Abstract

This study aims to analyze students' difficulties in working on ellipse problems. Descriptive research with a qualitative approach is the type of this research. Students of the Mathematics Education Study Program at Widya Dharma University, Klaten who are taking the analytical geometry course were selected as the subjects of this study. This study places the role of the researcher as the main instrument and the ellipse test and interview guidelines as supporting instruments. The triangulation method technique by comparing the results of the ellipse test with interviews is used to obtain valid data on the difficulties experienced by students in working on ellipse problems. The three stages of data analysis in this study include data condensation, data presentation, and drawing conclusions. The results of this study are that students' difficulties in working on ellipse problems include difficulty in conveying reasons for the answers given based on a geometric review and forgetting the formula for lateral recta.
Odd Harmonious Labeling on Edge Amalgamation from Double Quadrilateral Graphs Firmansah, Fery; Tasari, Tasari
Desimal: Jurnal Matematika Vol. 3 No. 1 (2020): Desimal: Jurnal Matematika
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/djm.v3i1.5712

Abstract

A graph that has odd harmonious labeling properties is called an odd harmonious graph. The purpose of this research is to obtain a new class graphs construction which is a family of odd harmonious graphs. The research method used consisted of several stages, namely research preparation, research investigation and verifivation of research results. The results of this study, we will give a line amalgamation construction of n double quadrilateral graphs DQ, denoted by *DQ(n) with n>= 1 and graph obtained by connecting between two graphs *DQ(n) with line graph L2, denoted by *(DQ(n),L2,DQ(n)). It has  further been proven that *DQ(n) and *(DQ(n),L2,DQ(n)) have odd harmonious labeling properties, such that all of them are odd harmonious graphs.
Integer linear programming application in production results optimization using cutting plane method Firmansah, Fery; Wulandari, Fitriana
Desimal: Jurnal Matematika Vol. 4 No. 1 (2021): Desimal: Jurnal Matematika
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/djm.v4i1.7975

Abstract

Integer Linear Programming is a special form of linear programming which the decision variables are in integer form. Berkah Rasa is a home industry business in the form of Jenang Ayu and Jenang Krasikan processed food.  The daily production that carried out by Berkah Rasa is based on the availability of raw materials and the number of requests. So far, Berkah Rasa has not had the right strategy in producing Jenang to get maximum profit. The purpose of this research is to apply integer linear programming to the optimization of Jenang Ayu and Jenang Krasikan production. The method used to solve this problem is the cutting plane method. The results of the research obtained is the optimal solution for Berkah Rasa, that is by producing 25 kg of Jenang Ayu and 22 kg of Jenang Krasikan every day. So that the benefits obtained by Berkah Rasa every day are IDR 727,000.00.
Odd harmonious labeling on the amalgamation of the generalized double quadrilateral windmill graph Firmansah, Fery; Giyarti, Wed
Desimal: Jurnal Matematika Vol. 4 No. 3 (2021): Desimal: Jurnal Matematika
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/djm.v4i3.10823

Abstract

Graph labeling is one of the topics of graph theory that is growing very rapidly both in terms of theory and application. A graph that satisfies the labeling property of odd harmonious is called an odd harmonious graph. The method used in this research is qualitative research by developing a theory and a new class of graphs from odd harmonious graphs. In this research, a new graph class construction will be given in the form of an amalgamation of the generalized double quadrilateral windmill graph. Furthermore, it will be proved that the amalgamation of the generalized double quadrilateral windmill graph is an odd harmonious graph. So that the results of the research show that the amalgamation of the generalized double quadrilateral windmill graph is a new graph class of odd harmonious graphs.
Odd harmonious labeling on the union of flower graphs Firmansah, Fery; Tasari, Tasari; Sungkono, Joko
Desimal: Jurnal Matematika Vol. 7 No. 3 (2024): Desimal: Jurnal Matematika
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/djm.v7i3.24612

Abstract

Applications of graph labeling in the fields of communication network addressing, database management, secret sharing schemes, and cryptology. Graphs that satisfy the odd harmonious labeling property are called odd harmonious graphs. The purposes of the research are to obtain the construction of the union of zinnia flower graphs, the union of double quadrilateral flower graphs, the rosella flower graphs, and the union of rosella flower graphs. The research method consists of literature study, graph class construction, graph labeling construction, theorem construction, and proof. The result of the research proves that the union of the zinnia flower graph, the double quadrilateral flower graph, the rosella flower graph, and the union of the rosella flower graph satisfies the odd harmonious labeling property. Thus, the novelty of this research is that the properties of the new graph class of odd harmonious graphs are obtained.
The development of cartesian product operation of product fuzzy graphs and its properties Firmansah, Fery; Tasari, Tasari; Yuwono, Muhammad Ridlo
Desimal: Jurnal Matematika Vol. 8 No. 2 (2025): Desimal: Jurnal Matematika
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/7edag538

Abstract

The product fuzzy graph is an extension of the fuzzy graph definition by replacing the minimum operation with the product operation. This research is qualitative research with research stages consisting of determining open problems, constructing new definitions, constructing new properties as theorems, and verifying results in the form of mathematical proofs. The purpose of this research is to get the Cartesian product definition of the product fuzzy graph and its properties. The results showed that the Cartesian product of two product fuzzy graphs is a fuzzy graph, the Cartesian product of two strong product fuzzy graphs is a strong product fuzzy graph, and the resulting Cartesian product of two complete product fuzzy graphs is a strong product fuzzy graph. Thus, the novelty of this research is that new properties of product fuzzy graphs are obtained.
ODD HARMONIOUS LABELING ON SOME STRING GRAPH CLASSES Firmansah, Fery
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 16 No 1 (2022): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (645.145 KB) | DOI: 10.30598/barekengvol16iss1pp313-320

Abstract

A graph with the labeling properties of odd harmonic is called an odd harmonious graph. The purpose of this research was to get labeling properties of odd harmonic on the class of string graphs. The research used was a qualitative research method. The result of the research was that the definition and construction of a string graph, the union of a string graph, and the multiple string graph are obtained. Furthermore, it has been proved that a string graph, the union of a string graph, and the multiple string graph is an odd harmonious graph.