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Journal : Majalah Ilmiah Matematika dan Statistika (MIMS)

Determination of All Minimum Spanning Tree on Weighted Connected Graph Hartati, Tri; Ubaidillah, Firdaus; Kamsyakawuni, Ahmad
Majalah Ilmiah Matematika dan Statistika Vol 15 No 2 (2015): 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.v15i2.23722

Abstract

Minimum Spanning Tree is spanning tree with minimum weigth. There are algorithms was used to get MST, include Kruskal’s Algorithm and Prim’s Algorithm. But all of that just give one solution, although MST problems have many solution. The ways to get all of MST from a simple weighted connected graph G can do by: the first, decide reference MST, is one of MST from G. Then choose all edges of graph G which use in MST. Futhermore decide equivalen class from every edges in graph G is not contained in reference MST with less weight or equal maximum weight in reference MST and decide choosen subset. Combinating choosen subset so getting all of MST from random simple weighted connected graph. There are two special criteria in decision all MST of simple weighted connected graph, are decision all MST with combine choosen edge is not make cycle and decision all MST with combine choosen edge make cycle. The purposes are counting and getting all MST which formed by a random simple weighted connected graph.
PERBANDINGAN PLAYFAIR CIPHER DENGAN 3D PLAYFAIR CIPHER PADA PENGAMANAN CITRA Sukmawati, Rika Ayu; Riski, Abduh; Kamsyakawuni, Ahmad
Majalah Ilmiah Matematika dan Statistika Vol 21 No 1 (2021): 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.v21i1.23116

Abstract

The development of sending messages that are increasingly easy and sophisticated makes it easier for third parties to access or sabotage the contents of the message, so we need a science called cryptography to secure the message. This research is to secure the message on image encoding using Playfair Cipher and 3D Playfair Cipher. The process of encryption and decryption on Playfair Cipher uses two-letter pairs (bigram), while in 3D Playfair Cipher uses three-letter pairs (trigrams). The encryption process uses Playfair Cipher and 3D Playfair Cipher to produce a different image cipher with plain image visually. In the decryption process, the cipher image returns into the plain image using Playfair Cipher and 3D Playfair Cipher. Histogram analysis, NPCR, and UACI are used to see the difference between ordinary images and password images using Playfair Cipher and 3D Playfair Cipher. The average results of histogram analysis that shows safe based on research data are 14061,483 using 3D Playfair Cipher, the average NPCR results that show safe based on research data are 99.2% using Playfair Cipher, and the average UACI results showing safe based on research data is 29.1% using 3D Playfair Cipher. The results of the study indicate that the proposed method can be used to secure the message.
MODELISASI KURSI DENGAN PENGGABUNGAN HASIL DEFORMASI BENDA-BENDA RUANG MENGGUNAKAN KURVA BEZIER Nadzira, Annisa Ayu; Juliyanto, Bagus; Kamsyakawuni, Ahmad
Majalah Ilmiah Matematika dan Statistika Vol 21 No 2 (2021): 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.v21i2.20733

Abstract

Chairs are needed by humans to do some work, especially students and office workers. The parts contained in the chair are the chair legs, chair legs eats and chair backs. The purpose of this study is to obtain variations in the shape of office chairs using Bezier curves and incorporate the results of deformation of space geometric objects. In modeling this chair, it is divided into several stages, namely first, building the chair leg components. This chair leg component consists of chair wheels, connecting two wheels with tube deformation, modeling the chair leg branch components and modeling chair leg supports. Second, namely the model of the chair leg seat. Chair leg seat consists of regular hexagon prism deformation and regular quadrangle prism deformation. The third is the modelization of the back of the chair by using a rectangular prism model. The result of combining several components of the chair using one modeling axis produces 36 chair models, with special provisions, namely that the seat support parts can only be joined using a tube.