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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.
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
BELAJAR BERBICARA BAHASA INGGRIS MELALUI PENDEKATAN PEMBELAJARAN BERBASIS TUGAS (Penelitian Tindakan di FKIP Universitas Mataram) AMRULLAH AMRULLAH
Bahtera: Jurnal Pendidikan Bahasa dan Sastra Vol 14 No 2 (2015): Bahtera: Jurnal Pendidikan Bahasa dan Sastra, Volume 14 Nomor 2 Juli 2015
Publisher : Program Studi Pendidikan Bahasa Program Pascasarjana Universitas Negeri Jakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (597.781 KB) | DOI: 10.21009/BAHTERA.142.03

Abstract

ABSTRACT This study aims to determine the process and the result of students’ increasing English speaking ability at Faculty of Teacher Training and Education University of Mataram. This study used qualitative and quantitative approaches through task based learning. The research methodology used is an action research developed by Kemmis and Mc.Taggart with the spiral model by phases: planning, action, observation, and reflection. Data collection techniques in this study conducted by observation, field note of the researcher/collaborator, and photos as documentation. Meanwhile, for quantitative data is gathered by test (the pre-test, the evaluation of group discussions cycle 1, cycle 2, and cycle 3,and the post-test). The results showed that there was a significant increase in the ability of students speaking English after attending the subject of speaking II through task based learning. Based on the test results of students English speaking ability of the three aspects assessed: accuracy, fluency, and pronunciation showed that the pre-test average student score = 16.66%, cycle 1 = 20.00%, cycle 2 = 66.66%, cycle 3 = 80.00% and post-test = 83.33%. Thus, the study concluded that the students' speaking ability can be improved through task based learning approach.Keywords: Learning, English Speaking, Task Based Learning Approach ABSTRAK Penelitian ini bertujuan untuk mengetahui proses dan hasil peningkatan kemampuan berbicara bahasa Inggris mahasiswa di Fakultas Keguruan dan Ilmu Pendidikan Universitas Mataram. Penelitian ini menggunakan pendekatan kualitatif dan kuantitatif melalui pembelajaran berbasis tugas. Metodologi penelitian yang digunakan adalah penelitian tindakan (action research) yang dikembangkan oleh Kemmis dan Mc. Taggart yaitu model spiral dengan tahapan: perencanaan (planning), pelaksanaan (action), observasi (observation), dan refleksi (reflection). Tehnik pengumpulan data kualitatif dalam penelitian ini diperoleh dengan observasi, cacatatan lapangan, dan dokumentasi berupa foto-foto proses pembelajaran di kelas. Sedangkan untuk data kuantitatif diperoleh dengan Tes (pre-test, evaluasi diskusi kelompok pada siklus 1, siklus 2, siklus 3, dan post-test). Hasil penelitian menunjukkan bahwa terdapat peningkatan yang signifikan pada kemampuan berbicara bahasa Inggris mahasiswa setelah mengikuti pembelajaran mata kuliah speaking II melalui pendekatan pembelajaran berbasis tugas. Berdasarkan hasil tes berbicara bahasa Inggris mahasiswa dengan melihat kemampuan pada tiga aspek yang dinilai: akurasi (accuracy), kelancaran (fluency), dan pengucapan (pronunciation) menunjukkan bahwa ketuntasan belajar pada pre-test adalah 16.66%, silklus 1 = 20.00%, siklus 2 = 66.66%, siklus 3 = 80.00%, and post-test = 83.33%. Dengan demikian disimpulkan bahwa kemampuan berbicara bahasa Inggris mahasiswa dapat ditingkatkan melalui pendekatan pembelajaran berbasis tugas.Kata Kunci: Belajar, Berbicara Bahasa Inggris, Pendekatan Pembelajaran Berbasis Tugas
Co-Authors A. Wahab Jufri Abdul Haris Munandar Ahmad Badawi Aliyatul Himmah Amelia Kusuma Andri Okta Firmansyah Anna Citra Islamiyah Annisa Annisa Arifuddin Arifuddin Arjudin Arjudin Arjudin Arjudin Atiqa Firdaus Awwalus Sanatil Hijriati Baharuddin Baharuddin Baidowi Baidowi Baiq Anita Rahayu Bq. Nerik Prawita Caesarla Elintang Yolawati Darajatul Khunul Khotimah Darojatun Fikri Dedi Riyan Rizaldi Deni Deni Deni Hamdani Dian Endang Lestari Eka Kurniawan Eka Kurniawan Ekky Irza Afriansyah Ery Nurjayanto Farizal Ramadhan Farizal Wahyu Trigantara Faturahman Faturahman Feby Attina Sari Gossani Puja Lestari H. Lalu Nurtaat Hapipi Hapipi Hardika Budianto Harry Soeprianto Harry Soeprianto Herman Firdaus Hidayanti, Gusma Husnul Lail I Nyoman Sridana I. M. Sujana Iftahul Muhayana Jihan Fahira Juliyanti Juliyanti Junaidi Junaidi Junaidi Junaidi Junaidi Ketut Sarjana Ketut Sarjana KETUT SARJANA, KETUT Kurniawan, Eka Laila Hayati Laila Hayati, Laila Laili Gadis Hasanah Lalu Ali Wardana Lalu Nurtaat Lalu Riki Gita Sukma M. Khairul Miswari M. L. Ilhamdi M. Satria Ramanda Mar'atun Atun Mariamah Mariamah Mh Isnaeni Muh. Makhrus Muhammad Arifuddin Muhammad Fadjri Muhammad Turmuzi Muhammda Faisal Khatami Muslim Muslim Nani Kurniati Nani Kurniati Nani Kurniati Ni Made Ayu Ulandari Ni Made Intan Kertiyani Nilwan Nina Muthmainnah 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 Putri Husnul Khotimah Rahmani , Irma Reksa Haniantara Reni Sugihartini Richard Yesaya Simanjuntak Ridha Wahidatul Ilmi Riki Tarnanda S. Hadisaputra Salsabila, Nilza Humaira Sangga Patih Alam Santi Farmasari 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 Subarinah4 Sridana Sridana Sripatmi Sripatmi Sripatmi Sripatmi Suci Fatmala Sari Sudi Prayitno Sudi Prayitno Sukardi Sukardi Syahrul Azmi Syahrul Azmi Syarifah Umdah Maryam Tabita Wahyu Triutami Tabita Wahyu Triutami Tri Rahayu Agustina Udin Udin Ulfa Lu’luilmaknun Ulfa Lu’luilmaknun Vetty Sugiarty Vivi Rachmatul Hidayati Wahidaturrahmi Wahidaturrahmi, Wahidaturrahmi Widiati Wulandari, Nourma Pramestie Zanirah Permatasari Ziadatul Fatimah