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Kartika Yulianti

Universitas Pendidikan Indonesia

Author-ID : 424739

Religion Humanities Astronomy Chemistry Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Earth & Planetary Sciences Economics, Econometrics & Finance Education Electrical & Electronics Engineering Engineering Environmental Science Industrial & Manufacturing Engineering Languange, Linguistic, Communication & Media Law, Crime, Criminology & Criminal Justice Mathematics Mechanical Engineering Medicine & Pharmacology Physics Social Sciences Transportation Other

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Nilai Minimal Span Pelabelan L(3,1) pada Graf Supercycle Sc(n,r) Fanny Febryani; Kartika Yulianti; Yaya Sukjaya Kusumah; Utari Wijayanti
Jurnal EurekaMatika Vol 11, No 2 (2023): Jurnal Eurekamatika
Publisher : Universitas Pendidikan Indonesia (UPI)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.17509/jem.v11i2.66736

An labeling of a graph is a function f from the set of vertex V(G) to the set of positive integers for any two vertices u, v where label difference |f(u)-f(v)|≥3 for distance d(u,v)=1 and label difference |f(u)-f(v)|≥1 for distance d(u,v)=2. In this study, the smallest positive integer λ where the maximum label used on L(3,1)-labeling for supercycle graph Sc(n,r) was formulated. The supercycle graph Sc(n,r) is the result of combining two special graphs, namely cycle graph Cn and Hanoi graph Hr. To determine the formula for the minimum span value of labeling on supercycle graph, a pattern detection method is used, which is labeling several supercycle graph with certain n and r values, then we generalized. We obtained that λ(Sc(n,1))=6 if n= 1. Furthermore, λ(Sc(n,1))=7 if n1 and even; λ(Sc(n,1))=8 if n1 and odd. In addition, λ(Sc(n,r))=8, for r1.Keywords: L(3,1)-Labeling, Supercycle Graphs. AbstrakPelabelan L(3,1) didefinisikan sebagai pemetaan dari himpunan titik pada graf G ke himpunan bilangan bulat positif dimana untuk setiap dua titik u,v jika d(u,v)=1 berlaku |f(u)-f(v)|≥3 dan jika d(u,v)=2 berlaku |f(u)-f(v)|≥1. Pada penelitian ini dirumuskan nilai minimal rentang (span) pelabelan L(3,1) untuk graf supercycle Sc(n,r), yang dinotasikan dengan λ(Sc(n,r)). Graf supercycle Sc(n,r) merupakan hasil dari penggabungan dua buah graf khusus, yaitu graf cycle Cn dan graf Hanoi Hr. Proses penentuan nilai minimal span dari pelabelan L(3,1) pada graf supercycle, digunakan metode pendeteksian pola, yaitu dilakukan pelabelan pada beberapa graf supercycle Sc(n,r) dengan nilai n dan r tertentu, kemudian digeneralisasi secara induksi. Hasil penelitian ini diperoleh nilai λ(Sc(n,1))=6, jika n=1. Kemudian, λ(Sc(n,1))=7, jika n1 dan n genap, λ(Sc(n,1))=8, jika n1 dan n ganjil. Selanjutnya, λ(Sc(n,r))=8 untuk r1.

Implementasi Kriptografi Secret Sharing Scheme dan Steganografi Audio Least Significant Bit (LSB) Alvira Firjan Humaira; Rini Marwati; Kartika Yulianti
JMT : Jurnal Matematika dan Terapan Vol 5 No 1 (2023): JMT (Jurnal Matematika dan Terapan)
Publisher : Program Studi Matematika Universitas Negeri Jakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21009/jmt.5.1.1

As long as communication technology continues to develop, information security becomes very important because crime in cyberspace is increasingly common. To improve information security, in this study a combination of secret sharing scheme (t, w) cryptography with the least significant bit (LSB) audio steganography was constructed. Secret sharing scheme cryptography is a modern cryptography that is able to prevent centralized information situations from occurring because it does not require a key for encryption. In addition, this method also makes it difficult for hackers to reconstruct messages because it is difficult to collect minimum shares. The implementation of this merger resulted in a prototype program using the Python 3.10 programming language with schema (3,4). The cover steganography media used is audio, and messages that can be processed by the program are a six-digit PIN number with a non-zero first digit. The results obtained from the encryption and embedding program are 4 pieces of audio-share which sound the same as the original audio, so that the existence of information in the audio is difficult to know. The result of the decryption and extracting program is a PIN that can be reconstructed.

Students' mathematical reasoning ability in solving problems (case study of high school students on sequence and series) Taqiya, Farah Ayyun; Hasanah, Aan; Yulianti, Kartika
Math Didactic: Jurnal Pendidikan Matematika Vol 9 No 3 (2023): September - Desember 2023
Publisher : Universitas PGRI Kalimantan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33654/math.v9i3.2492

Studi ini bertujuan untuk mendapatkan gambaran tentang kemampuan penalaran matematis siswa sekolah menengah atas dalam menyelesaikan masalah yang berkaitan dengan barisan dan deret yang ada di kelas X. Penelitian ini adalah jenis penelitian kualitatif dan dirancang sebagai studi kasus. Penelitian ini mengumpulkan data dengan menggunakan alat tes soal uraian yang terdiri dari lima soal. Subjek dalam penelitian ini adalah peserta didik kelas XJ di salah satu SMA Negeri Kota Bandung. Hasil penelitian menunjukkan bahwa kemampuan penalaran matematis siswa dikategorikan rendah dengan persentase total 54,6%. Adapun rincian per indikatornya meliputi: 1) kemampuan menyajikan pernyataan matematika dengan gambar diperoleh 37,7% dalam kategori rendah, 2) kemampuan mengajukan dugaan diperoleh 57% dalam kategori sedang, 3) kemampuan memeriksa kesahihan diperoleh 50% dalam kategori rendah, 4) kemampuan memberikan alasan diperoleh 74% dalam kategori tinggi, dan 5) kemampuan membuat generalisasi diperoleh 66,5% dengan kategori sedang. Disimpulkan bahwa siswa sekolah menengah atas (SMA) memiliki kemampuan penalaran matematis yang cukup rendah pada materi deret dan barisan, terutama pada indikator kemampuan memeriksa kesahihan suatu argumen dan menyajikan pernyataan matematika melalui gambar.

E-Cordial Labeling for Cupola Graph Cu(3, b, n) Yulianti, Kartika; Rokhmatillah, Fitri; Sispiyati, Ririn
InPrime: Indonesian Journal of Pure and Applied Mathematics Vol 4, No 1 (2022)
Publisher : Department of Mathematics, Faculty of Sciences and Technology, UIN Syarif Hidayatullah

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15408/inprime.v4i1.24210

Graph labeling is a map that maps graph elements such as vertices, edges, vertices, and edges to a set of numbers. A graph labeling is named e-cordial if there is a binary mapping f:E(G)→{0,1} which induces the vertex labeling defined by g(v)=Ʃ_{uvϵE(G)}f(uv)(mod 2), so that it satisfies the absolute value of the difference between the number of vertices labeled 1 and the number of vertices labeled 0 is less than equal to 1, and also for the number of edges labeled 0 and labeled 1. A graph that admits the e-cordial labeling is called an e-cordial graph. In this paper, we proved that some of the cupola graph Cu(3,b,n) is e-cordial.Keywords: E-Cordial Labeling; E-Cordial Graph; Cupola Graph Cu(a, b, n). AbstrakPelabelan graf merupakan pemetaan yang memetakan unsur-unsur graf seperti simpul, sisi, simpul dan sisi ke himpunan bilangan. Sebuah pelabelan dinamakan pelabelan e-cordial jika terdapat pemetaan biner f:E(G)→{0,1} yang menginduksi pelabelan simpul yang didefinisikan g(v)=Ʃ_{uvϵE(G)}f(uv)(mod 2) sehingga nilai mutlak dari selisih banyaknya simpul yang dilabeli 1 dan banyaknya simpul yang dilabeli 0 kurang dari sama dengan 1, dan nilai mutlak dari selisih banyaknya sisi yang dilabeli 1 dan banyaknya sisi yang dilabeli 0 kurang dari sama dengan 1. Sebuah graf yang dapat dilabeli secara e-cordial dinamakan graf e-cordial. Pada makalah ini dibuktikan bahwa beberapa graf kubah Cu(3,b,n) adalah e-cordial.Kata Kunci : Pelabelan E-Cordial; Graf E-Cordial; Graf Kubah Cu(a, b, n).

An An Exploration of High School Students’ Errors in Solving Trigonometry Problems Alfitri, Putri Armania Agustina; Kurniati, Nurdiyah; Prabawanto, Sufyani; Yulianti, Kartika
Jurnal Cendekia : Jurnal Pendidikan Matematika Vol 8 No 1 (2024): Jurnal Cendekia: Jurnal Pendidikan Matematika Volume 8 Nomor 1
Publisher : Mathematics Education Study Program

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31004/cendekia.v8i1.2109

Trigonometry plays an important role in the field of mathematics education, but in fact, some errors are identified. Therefore, this study aims to explore the students’ errors in solving trigonometry problems, especially in the sub-topics of trigonometric ratios. This is a qualitative study using a case study design. The subjects of this study were 35 students in grade 10 in one of the senior high schools in a district located in the Province of East Kalimantan. The research instruments were 1) a diagnostic test consisting of five essay problems about trigonometric ratios; 2) observation sheets; and 3) interview guidelines. The data was analyzed through three processes. They were: 1) data reduction, 2) data presentation, and 3) conclusion drawing or verification. The results show that the subjects made errors in solving trigonometric ratio problems, with the most errors made by subjects being errors in understanding concepts and writing algorithms. The causes of students making errors are due to the weak understanding of students' concepts, lack of student mastery of the prerequisite topics, the problems given being less varied, and students being in a hurry to solve problems.

Bilangan Kromatik Graf Hasil Operasi Korona Sisi Graf Siklus dan Graf Bintang Alivia Alivia; Kartika Yulianti; Yaya S. Kusumah
Jurnal Matematika, Statistika dan Komputasi Vol. 21 No. 2 (2025): JANUARY 2025
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/j.v21i2.37361

One of the concepts in graph theory that can be analyzed is chromatic numbers of a graph and operation of two graphs. There are various kinds of operations of two graphs, one of which is the corona edge operation. This research aims to determine the chromatic number of the edge corona operation of graph Cn*K1,m and K1,m*Cn, where Cn is a cycle graph and K1,m is a star graph. The chromatic number is determined based on the pattern formed from several n and m values. The results of this research show that the chromatic number of the edge corona operation of graph Cn*K1,m is 4 for n= 3, 4, ... k and m=1, 2, 3, ..., l. The chromatic number of the edge corona operation of graph K1,m*Cn is 5 if n is odd number. and is 4 if n is even number.

Seminar Bahasa Inggris untuk Mahasiswa Program Studi Matematika & Pendidikan Matematika: Strategi Lulus Tes TOEFL Sudihartinih, Eyus; Kartika Yulianti; Tia Purniati; Entit Puspita; Al Jupri
Jurnal Pengabdian Kepada Masyarakat (MEDITEG) Vol. 9 No. 2 (2024): Jurnal Pengabdian Kepada Masyarakat (MEDITEG)
Publisher : Pusat Penelitian dan Pengabdian Kepada Masyarakat (P3M) Politeknik Negeri Tanah Laut (Politala)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34128/mediteg.v9i2.215

Tujuan penulisan artikel ini yaitu untuk mendeskripsikan seminar peningkatkan kompetensi Bahasa Inggris dengan judul "Strategi Lulus Tes TOEFL” bagi mahasiswa Prodi Pendidikan Matematika dan Prodi Matematika FPMIPA UPI. Kegiatan seminar ini melalui tahapan persiapan, pelaksanaan, dan evaluasi dengan enam orang panitia. Proses tersebut di antaranya yaitu pembuatan surat undangan narasumber, e-flyer undangan peserta seminar, susunan acara, link pendaftaran/daftar hadir/refleksi, dan platform Zoom. Hasil evaluasi menunjukkan bahwa narasumber kompeten dalam topik yang diseminarkan, semua panitia bekerja dengan baik, dan semua partisipan memberikan respons positif terhadap kegiatan. Kegiatan ini bermanfaat bagi mahasiswa untuk meningkatkan skil berbahasa Inggris khususnya strategi untuk menjawab tes TOEFL. Harapan peserta seminar yaitu diadakan kembali kegiatan sejenis atau kegiatan yang bermanfaat lainnya.

PENENTUAN LINTASAN OPTIMAL DISTRIBUSI BARANG MENGGUNAKAN HYPERGRAPH - PARTITIONING DAN ALGORITMA GENETIKA Sadiyyah, Fitriani Halimatus; Yulianti, Kartika; Sispiyati, Ririn
Jurnal Ilmiah Matematika dan Pendidikan Matematika Vol 16 No 2 (2024): Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP)
Publisher : Universitas Jenderal Soedirman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20884/1.jmp.2024.16.2.13545

Efficient distribution of goods is critical in logistics management, which requires the selection of optimal distribution paths to achieve delivery targets with minimal total distance. This research combines Hypergraph-Partitioning and genetic algorithm to determine the optimal distribution path of goods to several customers. The Hypergraph-Partitioning divides the goods to be distributed equally to several vehicles, while the genetic algorithm is applied to determine the best distribution path in each partition. The results showed that the Hypergraph-Partitioning method successfully divided 62 customers into two partitions. The first partition serves 31 customers with a total demand of 865 loaves of bread, while the second partition also serves 31 customers with a total demand of 1,035 loaves of bread. The genetic algorithm was then used to find the shortest path for each partition, resulting in an efficient distribution solution.

DESAIN DIDAKTIS KONSEP LUAS PERMUKAAN DAN VOLUME PRISMA DALAM PEMBELAJARAN MATEMATIKA SMP Siti Aisah, Lusi; Kusnandi; Yulianti, Kartika
Mathline : Jurnal Matematika dan Pendidikan Matematika Vol. 1 No. 1 (2016): Mathline
Publisher : Universitas Wiralodra

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31943/mathline.v1i1.9

The purpose of this study is to composing didactic design concept about surface area and volume of prismsbased on learning obstacle (learning difficulties) students when studying the concept.The research methods is qualitative methods with data collection techniques are observation, question and answer, and documentation. The initial step in this research is identifying learning obstacle with learning obstacle instrument to students in grade IX junior high school and grade X senior hign scool who has studied about that concept. After learning obstacle is identified, the didactic design then composed by adjusting the learning theories that are relevant and does not reduce mathematical abilities that can be developed. Didactic design which has been arrangedthen implemented in the students learning process on grade VIII SMP. Didactic design effectiveness was measured using a modified degree increase of the gain normalized Hake. Didactic design has show considerable effectiveness, with an effective medium category. Results of the implementation and effectiveness of the didactic design shows that the didactic design that has been composed can be used as one of the alternative designs in studying the concept of surface area and volume of prisms.

Analisa Kemampua Berpikir Aljabar Siswa Ditinjau dari Self-Efficacy dan Gender Syarifuddin, Syarifuddin; Darhim, Darhim; Yulianti, Kartika
Didaktis: Jurnal Pendidikan dan Ilmu Pengetahuan Vol 23 No 3 (2023): Didaktis
Publisher : Universitas Muhammadiyah Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30651/didaktis.v23i3.14399

Penelitian ini memiliki tujuan untuk menganalisis dan mendeskripsikan kemampuan berpikir aljabar siswa ditinjau dari tingkat efikasi diri dan gender. Penelitian ini menggunakan metode kualitatif dengan pendekatan deskriptif. Subjek dan tempat penelitian ini adalah siswa kelas VIII C SMP Muhammadiyah 9 Surabaya. Hasil dari penelitian ini yaitu siswa laki-laki dan siswa perempuan dengan self-efficacy tinggi memiliki pemahaman soal yang baik dan mampu melakukan penyelesaian soal dengan baik, serta dapat melakukan penarikan kesimpulan dari soal yang dikerjakan. Sementara siswa laki-laki dan siswa perempuan dengan self-efficacy sedang memiliki pemahaman yang berbeda. Siswa laki-laki masih sering melakukan kesalahan dalam proses penyelesaian soal dan kurang teliti, sementara siswa perempuan mampu melakukan langkah-langkah penyelesaian soal dengan baik dan juga tidak dapat membuat kesimpulan akhir dengan benar. Sedangkan untuk siswa laki-laki dan siswa perempuan dengan tingkat self-efficacy rendah memiliki pemahaman soal yang kurang baik, karena keduanya sama sekali tidak menuliskan informasi yang diketahui dan pertanyaan yang ditanyakan. Selain itu, baik siswa laki-laki maupun siswa perempuan masih sering melakukan kesalahan perhitungan dalam proses penyelesaian soal, sehingga hasil akhirnya salah. Siswa laki-laki dan siswa perempuan juga tidak dapat membuat kesimpulan dari soal sudah dikerjakan. Kesimpulan dari penelitian ini yaitu siswa laki-laki dan perempuan memiliki perbedaan kemampuan dalam menyelesaikan tes berpikir aljabar. Serta ada perbedaan kemampuan berpikir aljabar antara siswa dengan tingkat efikasi diri tinggi, sedang dan rendah.

Co-Authors Aan Hasanah Abdul Latip Abdul Latip Abolla, Gloria Angelica Agus Y. Gunawan Agus Yodi Gunawan Aini, Siti Aisy, Khansa Salsabila Rohadatul Al Jupri Alfitri, Putri Armania Agustina Alivia Alivia Alvira Firjan Humaira Ambalegin, Ambalegin Ashilah Azmii, Yusyifa Asmarani, Mustika Asyifa Rahmawati Azzahra, Yasmine Bill Chairy Rizki Bustaren Cece Kustiawan Dadang Juandi Darhim Darhim Dian Usdiyana Edy Soewono Eha Harningsih Elisabet Ivanna Grace Handayani Elisya, Nur Encum Sumiaty, Encum Enmufida Enmufida Entit puspita Erman Suherman Eyus Sudihartinih Fakhrana Nadhilah Fanny Febryani Fatimatuz Zahro Octavia Fery Ferdiansyah Fitri Rahmawati Fitri Rokhmatillah Fitri, Azela Fitria, Nida Hamdan Anshory Martanegara Husty Serviana Husain Ika Zulhidayati Iskandar, Idris Isnie Yusnitha, Isnie Jarnawi Afgani Dahlan Khusnul Novianingsih Kurniati, Nurdiyah Kurniawan, Surya Kusnandi Kusnandi Kusnandi, Kusnandi Lafita Rahmi LUKMAN, LUKMAN M Akbar Gulvara M. Rizqi Ramadhan Mulyaning A, Endang Cahya Mulyaning Asih, Endang Cahya Mutiara Pertiwi N. Nurjanah Nanang Priatna Nasution, Muhammad Awaludin Noor Annisah Sholehah Nur Aidah, Anisa Nur Hidayatullah Romadhon Nur Rofi'ah Nurmala Setianing Putri Pangestu, Herny Wulandari Pangestu, Herny Wulandari Rini Marwati Ririn Sispiyati Rokhmatillah, Fitri Sadiyyah, Fitriani Halimatus Salman, Gelar Saragih, Martin Valerian Amadeus Siti Aisah, Lusi Siti Fatimah Siti Fatimah Suci Permata Hati Sufyani Prabawanto, Sufyani Sulaiman, Faris Hasby Surya Kurniawan Syahbudin, Fauzan Syahraini, Alfi Syarifuddin Syarifuddin Taqiya, Farah Ayyun Tia Purniati Tia Purniati Turmudi Ulfa, Nadia Ulfah Nur Azizah Utari Wijayanti Wijaya, Muhammad Lutfi Wijaya, Muhammad Lutfi Lutfi Wildy Ardan Yaya S. Kusumah Yaya S. Kusumah Yaya Sukjaya Kusumah Yusuf Adhitya

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