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INDONESIA
MATEMATIKA
Published by Universitas Diponegoro
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Mathematics
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Articles 6 Documents
 1 
Search results for , issue "Vol 15, No 1 (2012): JURNAL MATEMATIKA" : 6 Documents clear
GRUP – Γ DUAL DARI SUATU GRUP–Γ Sumanto, Y.D
MATEMATIKA Vol 15, No 1 (2012): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

On  of   can be considered as binary operation on . If there are  such that  is a group, then for any ,  is also a group and S  called as   . Otherwise for every element of  can be considered as binary operation on   . There are  such that  is - group and every is a group, troughout in this paper  is called  as dual group from  
SIFAT-SIFAT ISOMORFISMA GRAF FUZZY PADA GRAF FUZZY KUAT Handayani, Anik; Ratnasari, Lucia
MATEMATIKA Vol 15, No 1 (2012): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

Fuzzy graph is a graph consists pairs of vertex and edge that have degree of membership containing closed interval of real number [0,1] on each edge and vertex. A fuzzy graph  is said to be a strong fuzzy graph if degree of membership edge with the same minimum degree of membership vertex and degree of membership vertex for each edge   with . In this paper describes the properties of fuzzy graphs isomorphism include weak isomorphism, co-weak isomorphism, and isomorphism on strong fuzzy graph.  
MATRIKS JORDAN DAN APLIKASINYA PADA SISTEM LINIER WAKTU DISKRIT ., Soleha; Setyawati, Dian Winda
MATEMATIKA Vol 15, No 1 (2012): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

Matrix is diagonalizable (similar with matrix diagonal) if and only if the sum of geometric multiplicities of its eigenvalues is n.If we search for an upper triangular form that is nearly diagonal as possible but is still attainable by similarity for every matrix, especially the sum of geometric multiplicities of its eigenvalues is less than n, the result is the Jordan canonical form, which is denoted by , and . In this paper, will be described how to get matrix S(in order to get matrix ) by using generalized eigenvector. In addition, it will also describe the Jordan canonical form and its properties, and some observation and application on discrete time linear system.
PROGRAM APLIKASI KEAMANAN CITRA DENGAN ALGORITMA DES DAN TRANSFORMASI WAVELET DISKRIT Solichin, Zaki; Bayu, Surarso; Sarwoko, Eko Adi
MATEMATIKA Vol 15, No 1 (2012): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

Application program security image using DES cryptographic algorithm and discrete wavelet transform is an application program that is used to secure image transmission through the Internet. Manufacturing processes are as follows, first is to make the program application for image encryption ciphertext is a program that is used to transform the initial image into the form of a compressed image using advanced discrete wavelet transform (DWT) and the Haar filter, then encrypt image transformation results with using the DES encryption algorithm specified by the encryption key, the encrypted form of information in the form of ciphertext. The second process is the process for making an application program to restore the initial image into the form ciphertext, the ciphertext decrypt the encrypted image and the particular key (the key with encryption) using DES decryption algorithm, the decrypted image, then decrypted form of the image is brought back into form initial image using inverse discrete wavelet transformation (IDWT) and reconstruction program.
BILANGAN DOMINASI DAN BILANGAN KEBEBASAN GRAF BIPARTIT KUBIK Santoso, Budi; Djuwandi, Djuwandi; S.U, Robertus Heri
MATEMATIKA Vol 15, No 1 (2012): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

Let a graph , is a pair of sets V vertices and set E edges. Let  be a subset of . If each vertex of  is adjacent to atleast one vertex of , then  is called a dominating set in . The domination number of a graph  denoted as  is the minimum cardinality of a dominating set in . A set of vertices in a graph is said to be an independent set if no two vertices in the set are adjacent. the number of vertices in the largest independent set of a graph  is called the independence number and denoted by . In this final project, we consider the relation between independent set and dominating set of finite simple graphs. In particular, discuss them for some cubic bipartite graphs and find that the domination number is less than  of the number of vertices and independence number  is half of the number of vertices.  
PENENTUAN TRAJEKTORI KERETA DUBIN MELALUI KONTROL OPTIMUM Tjahjana, Redemtus Heru
MATEMATIKA Vol 15, No 1 (2012): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

This paper addressed the control of a Dubin’s vehicle. The Dubin’s vehicle control design, using the Pontryagin Maximum Principle. The application of this principle, bring the matter to the Hamiltonian system with some partial equations excess conditions, while others do not have any conditions. The difference approach, which used  in this paper to design of the control. This paper solve the problem by transforming the problem into the initial values problem, by finding the best approach to obtain the initial condition equations for some equations that do not have any conditions.

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