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DIMENSI METRIK GRAF HASIL OPERASI JEMBATAN DARI CATERPILLAR HOMOGEN DAN POT BUNGA DIPERUMUM Hidayanti, Gusma; Amrullah, Amrullah; Kurniati, Nani; Hayati, Laila
Majalah Ilmiah Matematika dan Statistika Vol 22 No 1 (2022): Majalah Ilmiah Matematika dan Statistika
Publisher : Jurusan Matematika FMIPA Universitas Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/mims.v22i1.30350

Abstract

The metric dimension is a concept that has many applications, such as robotic navigation. This concept will distinguish each vertex of a graph based on some vertices. The distinguishing vertices are called the basis of the graph. Let G be a connected graph, the metric dimension, dim(G), is the smallest cardinality of the basis of graph G. On this paper, we present the metric dimensions of the bridge graph of a homogeneous caterpillar graph Cm,n and a generalized flower pot graph $C_p-K_{(q_1, q_2,\cdos,q_p}$. This research was conducted by the approach of structure analysis by location of the bridge vertices, the edge of the bridge, and the order of the graph. The results show that the metric dimensions of the bridge graph are at least can be reduced at most 2, and the maximum values are the same as the value of $m(n-1)+ \sum_{i=1}^p q_i- 2p$.Keywords: Metric dimension, caterpillar, unicyclic, bridgeMSC2020: 05C12
The partition dimension of a subdivision of a homogeneous firecracker Amrullah Amrullah
Electronic Journal of Graph Theory and Applications (EJGTA) Vol 8, No 2 (2020): Electronic Journal of Graph Theory and Applications
Publisher : GTA Research Group, Univ. Newcastle, Indonesian Combinatorics Society and ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/ejgta.2020.8.2.20

Abstract

Finding the partition dimension of a graph is one of the interesting (and uncompletely solved) problems of graph theory. For instance, the values of the partition dimensions for most kind of trees are still unknown.  Although for several classes of trees such as paths, stars, caterpillars, homogeneous firecrackers and others, we do know their partition dimensions.  In this paper, we determine the partition dimension of a subdivision of a particular tree, namely homogeneous firecrackers. Let G be any graph. For any positive integer k and e \in E(G), a subdivision of a graph G, denoted by S(G(e;k)), is the graph obtained from G by replacing an edge $e$ with a (k+1)-path. We show that the partition dimension of S(G(e;k)) is equal to the partition dimension of G if G is a homogeneous firecracker. We show that the partition dimension of S(G(e;k)) is equal to the partition dimension of G if G is a homogeneous firecracker. 
Analisis Kesalahan Siswa SMP pada Penyelesaian Masalah Sistem Persamaan Linear Dua Variabel Anna Citra Islamiyah; Sudi Prayitno; Amrullah Amrullah
Didaktik Matematika Vol 5, No 1 (2018): Jurnal Didaktik Matematika
Publisher : Universitas Syiah Kuala

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (52.929 KB) | DOI: 10.24815/jdm.v5i1.10035

Abstract

Background of this research is many student errors at solving linear equation systems with two variables problems. The research aim is to know the kinds and level of errors at solving linear equation systems with two variables problems. This research is descriptive quantitative. The subject of this study is 30 students grade 7 from one of junior high school at Mataram, West Nusa Tenggara. A data collection done by tested and interviewed. The error of the problem solving that could analyze were a reading error, comprehension, transformation, process skills and encoding. Result of the research indicate that percentage of reading error was 17.78% (too low category), comprehension error was 55.56% (middle category), transformation error was 18.52% (too low category), process skills error was 36.67% (low category) and encoding error was 83.70% (too high category). 
Pelatihan Sistem Pengarsipan Data Berebasis WEB pada Tenaga Admin Fakultas Keguruan dan Ilmu Pendidikan Universitas Mataram Amrullah Amrullah; M. Makhrus; S. Hadisaputra; M. L. Ilhamdi; I. M. Sujana
Jurnal Pengabdian Masyarakat Sains Indonesia Vol. 2 No. 1 (2020)
Publisher : Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (511.286 KB) | DOI: 10.29303/jpmsi.v2i1.9

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Kegiatan pelatihan system pengarsiapan ini bertujuan untuk meningkatkan kemampuan dan ketrampilan tenaga admin dalam mengelolah dokumen berbasis website pada Fakultas Keguruan dan Ilmu pendidika Universitas Mataram. Kegiatan ini merupakan bentuk pengabdian dan aplikasi keilmuan pada masyarakat khusu warga FKIP universitas Mataram. Pengarsipan merupakan haal penting dalam menyimpanan dokumen sehingga memudahkan dalam proses pencarian dan menelusuran kembali data yang telah disimpan. Kegiatan ini terdiri dari pembuatan aplikasi online menggunakan php dan database mysql, dan pelatihan penggunaan aplikasi pada tenaga admin di setiap unit FKIP. Secara keseluruhan kegiatan ini berjalan dengan baik dan tenaga admin berhasil melakukan input data pengarsipan berbasis website
APLIKASI GRAF POHON PADA ALGORITMA HUFFMAN Amrullah Amrullah
Jurnal Pijar Mipa Vol. 6 No. 1 (2011): Maret
Publisher : Department of Mathematics and Science Education, Faculty of Teacher Training and Education, University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (232.803 KB) | DOI: 10.29303/jpm.v6i1.122

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Abstrak : Sistem bilangan biner banyak digunakan dalam teknologi komputer. Bilangan biner digunakan oleh algoritma Huffman pada graf pohon. Algoritma Huffman menggunakan prinsip pengkodean yang mirip dengankode Morse, yaitu tiap karakter dikodekan hanya dengan rangkaian beberapa bit 0 dan 1 sesuai distribusi kemunculan karakter dalam naskah. Sedang graf pohon adalah graf tak-berarah terhubung yang tidak memuat sirkuit sederhana.Setiap karakter dalam komputer memiliki panjang 8 bit. Dalam algoritma huffman, dengan penggunaan graf pohon dari distribusi frekuensi karakter dalam suatu pesan, ukuran panjang bit setiap karakter dapat memiliki ukuran lebih kecil dari 8 bit sehingga dapat menghemat ukuran data. Pada akhirnya dapat disimpulkan bahwa algoritma Huffman dapat digunakan untuk menghemat ukuran data dalam sistem komputer.Kata Kunci : Huffman, graf pohon, algoritma, binerAbstract : Binary number system is more used in computer technology. Binary number used by the Huffman algorithm on the tree in graph teory. Huffman algorithm using the principle similar to Morse code, ie each character isencoded only by a series of multiple bits 0 and 1 corresponds to the distribution of the appearance of characters in the script. but tree is non connected graph that contains no simple circuit. Each character in the computer has a length of 8 bits. In the huffman algorithm, with the use of a tree graph of the frequency distribution of characters in data, the size of the bit length of each character can have a size smaller than 8 bits so that it can save data size. In the finally it can be concluded that the Huffman algorithm can be used to save data size in the computer system.Keywords : Huffman, tree, Algorithm, biner
PROSES DEGRADASI LIGNIN PADA LIMBAH BATANG TEMBAKAU SEBAGAI PERSIAPAN PRODUKSI BIOETANOL Sri Seno Handayani; Amrullah Amrullah; Riki Tarnanda; Baiq Anita Rahayu
Jurnal Pijar Mipa Vol. 13 No. 2 (2018): September
Publisher : Department of Mathematics and Science Education, Faculty of Teacher Training and Education, University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (229.961 KB) | DOI: 10.29303/jpm.v13i2.750

Abstract

Batang tembakau merupakan salah satu bahan lignoselulosa yang banyak tersedia, sehingga menjadikannya sebagai sumber bahan baku ideal untuk memproduksi bioetanol. Pada kajian ini dilakukan konversi bahan lignoselulosa menjadi etanol.Pada tulisan ini akan disajikan pengaruh degradasi lignin terhadap perolehan rendemen gula dan bioetanol dari batang tembakau. Hasil yang diperoleh menunjukkan bahwa degradasi lignin dengan menggunakan 8% HCl dapat menurunkan lignin hingga 41,17%. Kandungan gula hidrolisis batang tembakau tertinggi diperoleh sebesar 13,66 g / L dengan rendemen bioetanol 6.061%.
Analisis Kualitatif Etnomatematika Dari Destinasi Wisata Uma Lengge M Mariamah; M Muslim; A Amrullah; Prayitno S
Jurnal Pijar Mipa Vol. 15 No. 4 (2020): September
Publisher : Department of Mathematics and Science Education, Faculty of Teacher Training and Education, University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (209.5 KB) | DOI: 10.29303/jpm.v15i4.1985

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Destinasi wisata Uma Lengge merupakan warisan budaya masyarakat Bima yang memiliki nilai etnomatematika. Nilai etnomatematika tersebut belum banyak diaplikasikan dalam pembelajaran matematika dan mengakibatkan pembelajaran  matematika di sekolah belum dapat menampilkan konteks nyata yang berkaitan langsung dengan aktivitas sehari-hari siswa. Tujuan tulisan ini adalah untuk menganalisis beberapa bentuk geometri apa saja yang terdapat dalam struktur Uma Lengge tersebut agar nantinya dijadikan sebagai referensi bagi guru untuk menerapakan etnomatematika dari destinasi Uma Lengge dalam pembelajaran matematika di SD. Tulisan ini dilakukan dengan penelitian deksriptif kualitatif. Instrument yang digunakan untuk mengumpulkan data adalah dokumentasi dan wawancara. Hasil dokumentasi dan wawancara akan dianalisis secara kualitatif mulai dari reduksi data, interpretasi data dan penarikan kesimpulan. Adapun hasil penelitian bahwa destinasi Uma Lengge memiliki nilai etnomatematika berbentuk geometri seperti: 1) trapesium sama kaki, 2) segititiga, 3) Persegi, 4) persegipanjang dan yang terakhir adalah 5) segitiga siku-siku. Etnomatematika dari destinasi Uma Lengge dapat digunakan sebagai alat peraga dalam pembelajaran matematika Sekolah Dasar (SD) materi geometri/bangun datar dengan tujuan agar siswa mudah memahami materi yang disampaikan karena bahan ajar Uma Lengge sudah dikenal oleh siswa. Selain itu, siswa juga dapat mengenal lebih mendalam tentang destinasi Uma Lengge sebagai warisan budaya suku Bima.
The effect of cooperative learning model of team game tournament (TGT) type on students mathematical learning achievement of junior high school Muhammad Arifuddin; Laila Hayati; Amrullah Amrullah; Baidowi Baidowi
Jurnal Pijar Mipa Vol. 16 No. 5 (2021): November 2021
Publisher : Department of Mathematics and Science Education, Faculty of Teacher Training and Education, University of Mataram. Jurnal Pijar MIPA colaborates with Perkumpulan Pendidik IPA Indonesia Wilayah Nusa Tenggara Barat

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (271.426 KB) | DOI: 10.29303/jpm.v16i5.2770

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This research aims to find out the effect of cooperative learning models of the Teams Games Tournament (TGT) type on the students’ mathematics learning achievement of the 8th-grade students of SMPN 13 Mataram Academic Year 2019/2020. This study is a quasi-experimental with the post-test only non-equivalent control group design type. The population of the research was the whole 8th-grade students of SMPN 13 Mataram Academic Year 2019/2020. In determining the sample, probability sampling was being used in the of form cluster random sampling, the sample of the research was the VIII-A class as the experimental class and VIII-B class as the controlling class. The instrumen which was used in this research was the test of the students learning achievement (post-test). Quantitave analysis obtained by using t-test. The results of this research showed that there were differences in students learning outcomes with the TGT type cooperative model and direct learning model students. By the effect size method, we obtain that the effect of TGT type on the student's achievement was high category. Furthermore, that’s mean that TGT type can be given a high effect on students' achievement in the concept of linear equation system for two variables. For teachers, especially in SMPN 13 Mataram should be an alternative learning model of the TGT cooperative model as an one of the next mathematics learning.
Penggunaan Metode Statistika untuk Menganalisis Data Evaluasi Hasil Belajar di SMP Negeri 1 Gerung Kabupaten Lombok Barat Deni Hamdani; Nyoman Sridana; Amrullah Amrullah; Hapipi Hapipi; Nourma Pramestie Wulandari
Lumbung Inovasi: Jurnal Pengabdian kepada Masyarakat Vol. 6 No. 2: November 2021
Publisher : Lembaga Penelitian dan Pemberdayaan Masyarakat (LITPAM)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.36312/linov.v6i2.548

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Metode statistik membantu mengorganisasi data hasil belajar, baik itu dalam penyajian, pemusatan, dan penyebaran data. Selain membantu membuat keputusan yang tepat, pemahaman statistik merupakan dasar untuk membangun keahlian berpikir. Tujuan dalam pengabdian ini adalah sosialisasi penggunaan metode statistika untuk menganalisis data evaluasi hasil belajar siswa, Metode pelaksanaan yang digunakan adalah Focus Group Discussion (FGD) dan dilanjutkan dengan pelatihan penggunaan metode statistik secara daring melalui platform google meeting, dan diakhiri dengan evaluasi hasil kegiatan. Hasil pengabdian ini menunjukkan bahwa pelatihan secara daring dan evaluasi hasil kegiatan guru yang didasarkan pada focus group discussion (FGD) mengungkapkan bahwa kinerja guru dalam menggunakan metode statistika untuk analisis data evaluasi hasil belajar siswa terkategori mampu memahami dan mampu membuat alat evaluasi sederhana baik itu berbasis excel dan google form. Sehingga dari kegiatan ini, telah memberikan kesempatan unik para guru dalam memahami statistik pada tingkat konseptual tanpa terlalu terjebak dalam persamaan dan rumus.  Use of Statistical Methods to Analyze Learning Outcome Evaluation Data at SMPN 1 Gerung, West Lombok Regency Statistical methods help organize data on learning outcomes, both in presenting, centralizing, and disseminating data. In addition to helping make the right decisions, understanding statistics is the basis for building thinking skills. The purpose of this service is to socialize the use of statistical methods to analyze student learning outcomes evaluation data. The implementation method used is focus group discussion (FGD) and is followed by training on the use of statistical methods online through the google meeting platform, and ends with an evaluation of the results of activities. The results of this service show that online training and evaluation of the results of teacher activities based on focus group discussions (FGD) reveal that teacher performance in using statistical methods for data analysis of student learning outcomes evaluation is categorized as being able to understand and be able to make simple evaluation tools both excel-based and google forms. Thus, this activity has provided teachers with a unique opportunity to understand statistics at a conceptual level without getting too caught up in equations and formulas.  
EKSTRAKSI SELULOSA BATANG TEMBAKAU SEBAGAI PERSIAPAN PRODUKSI BIOETANOL Sri Seno Handayani; Amrullah Amrullah
Jurnal Penelitian Pendidikan IPA Vol. 4 No. 2 (2018): July
Publisher : Postgraduate, University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/jppipa.v4i2.130

Abstract

Nowadays the need for fuel has always improved as following the increase in community and industry activities. Therefore, we need to search for resources of alternative energy. The tobacco rod is one of the lignocellulosic materials which has three main components namely cellulose, hemicellulose and lignin. The production of bioethanol from lignocellulosic materials is strongly influenced by the composition of cellulose in its raw materials. This research use  the cellulose extraction of tobacco rods by a bases method on NaOH concentrations are 2.5%, 5%, 7.5%, 10% and 12.5% (v/v) . The results show that the concentration of NaOH strongly influences the yield of cellulose extracted. The highest cellulose yield of the extraction is obtained on 12.5% of NaOH concentration.Keywords:Extraction, cellulose, tobacco rod, bioethanol
Co-Authors Abda Abda Abdul Haris Munandar Abi Rizky, Muhammad Abida Wadiatun Ilahi Afandi, Noval Afifurrahman Afifurrahman Ahmad Badawi Aliyatul Himmah Amelia Kusuma Andri Okta Firmansyah Anna Citra Islamiyah Annisa Annisa Arifuddin Arifuddin Arjudin Arjudin Arjudin Arjudin Atiqa Firdaus Aulia, Syafa Awwalus Sanatil Hijriati Baehaqi Baidowi Baidowi Baiq Anita Rahayu Bisriyah, Bisriyah Bq. Nerik Prawita Caesarla Elintang Yolawati Dadi Setiadi Darajatul Khunul Khotimah Darojatun Fikri Dedi Riyan Rizaldi Deni Deni Deni Hamdani Dian Endang Lestari Eka Kurniawan Eka Kurniawan Ekky Irza Afriansyah Ery Nurjayanto Fadila, Kasturi Anisa Farizal Ramadhan Farizal Wahyu Trigantara Faturahman Faturahman Feby Attina Sari Firdaus, Atiqa Firmansyah, Didi Gossani Puja Lestari H. Lalu Nurtaat Hadisaputra, S. Hapipi Hapipi Hardika Budianto Harry Soeprianto Harry Soeprianto Harry Soeprianto Hasan, Riska Rahmawati Hendi, Muhammad Herman Firdaus Hidayah, Khulaeni Hidayatul Hidayanti, Gusma I MADE SUJANA . I Nyoman Sridana I. M. Sujana Iftahul Muhayana Ikrimatullael Ikrimatullael Ilhamdi, M. L. Jihan Fahira Juliyanti Juliyanti Junaidi Junaidi Junaidi Junaidi Junaidi Junaidi Ketut Sarjana Ketut Sarjana KETUT SARJANA, KETUT Kurniawan, Eka Laila Hayati Laila Hayati Laila Hayati, Laila Laili Gadis Hasanah Lalu Nurtaat Lalu Riki Gita Sukma M. Khairul Miswari M. L. Ilhamdi M. Satria Ramanda Maksud, Maksud Mar'atun Atun Mariamah Mariamah Maulyda, ‪Mohammad Archi Muh. Makhrus Muhammad Arifuddin Muhammad Fadjri Muhammad Turmuzi Muhammda Faisal Khatami Muntari Muntari Muslim Muslim Nani Kurniati Nani Kurniati Nani Kurniati Ni Made Ayu Ulandari Ni Made Intan Kertiyani Nilwan Nina Muthmainnah Nopyta Intan Sari Nourma Nourma Nourma Pramestie Wulandari Nur Asniati Nurdianti Nurdianti Nurul Hikmah NURUL HIKMAH Nurul Hikmah Nurul Indah Nurul Pratiwi Nyoman Sridana Nyoman Sridana Nyoman Sridana Prayitno S Primajati, Gilang Purnamasari, Erni Putri Husnul Khotimah Rahmani , Irma Reksa Haniantara Richard Yesaya Simanjuntak Ridha Wahidatul Ilmi Riki Tarnanda S. Hadisaputra Salsabila, Nilza Humaira Sangga Patih Alam Septiyana Kurnia Hartatin Sinta Baiq Sinta Silviana Muslim Sri Romlawati Sri Seno Handayani Sri Seno Handayani Sri Subarinah Sri Subarinah Sri Subarinah Sri Subarinah Sri Subarinah, Sri Sri Subarinah4 Sridana Sridana Sripatmi Sripatmi Sripatmi Sripatmi Sripatmi Sripatmi, Sripatmi Suci Fatmala Sari Sudi Prayitno Sudi Prayitno Sugiarty, Vetty Sujana, I. M. Syahrul Azmi Syahrul Azmi Syahrul Azmi Syarifah Umdah Maryam Syawahid, M Tabita Wahyu Triutami Tabita Wahyu Triutami Tri Rahayu Agustina Udin Udin Ulfa Lu’luilmaknun Ulfa Lu’luilmaknun Wahidaturrahmi Wahidaturrahmi, Wahidaturrahmi Widiati Wulandari, Nourma Pramestie Zanirah Permatasari Ziadatul Fatimah