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INDONESIA
Journal of the Indonesian Mathematical Society
ISSN : 20868952     EISSN : 24600245     DOI : -
Core Subject : Education,
Journal of the Indonesian Mathematical Society disseminates new research results in all areas of mathematics and their applications. Besides research articles, the journal also receives survey papers that stimulate research in mathematics and their applications.
Arjuna Subject : -
Articles 510 Documents
DECOMPOSITION OF COMPLETE GRAPHS AND COMPLETE BIPARTITE GRAPHS INTO COPIES OF Pn3 or S2Pn3 AND HARMONIOUS LABELING OF K2+ Pn Selvaraju, P.; Sethuraman, G.
Journal of the Indonesian Mathematical Society Special Edition, Year 2011
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.0.0.23.109-122

Abstract

Pdf AbstractDOI : http://dx.doi.org/10.22342/jims.0.0.23.109-122
TOTALLY MAGIC INJECTIONS D. Wallis, W.
Journal of the Indonesian Mathematical Society Special Edition, Year 2011
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.0.0.24.123-131

Abstract

A labelling is a mapping whose domain is some set of graph elements- the set of vertices, for example, or the set of all vertices and edges - and whose range is a set of positive integers. In particular, if the labels associated with any edge - the label on the edge itself, and those on its endpoints -always add to the same sum, the labeling, and the graph possessing it, is called magic. A related concept, a vertex-magic total labeling, is one in which the sum of the label on any vertex with the labels on the edges containing it is always constant. A labeling which has both the vertex-magic and edge-magic properties (usually with two different constants) is called totally magic, as is a graph possessing such a labeling. In this paper we survey what is known about totally magic graphs and an important generalization.DOI : http://dx.doi.org/10.22342/jims.0.0.24.123-131
HOW PROVABLY GRACEFUL ARE THE TREES? Slater, Peter J.
Journal of the Indonesian Mathematical Society Special Edition, Year 2011
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.0.0.25.133-136

Abstract

Given the inability to prove that all trees are graceful, can we at least say something positive about their gracefulness? Two problems of this type are presented.DOI : http://dx.doi.org/10.22342/jims.0.0.25.133-136
ON THE EDGE-BALANCE INDEX SETS OF L-PRODUCT OF CYCLES Bouchard, Daniel; Clark, Patrick; Su, Hsin-Hao
Journal of the Indonesian Mathematical Society Special Edition, Year 2011
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.0.0.16.27-38

Abstract

PDF AbstractDOI : http://dx.doi.org/10.22342/jims.0.0.16.27-38
EQUIVALENCE OF n-NORMS ON THE SPACE OF p-SUMMABLE SEQUENCES Mutaqin, Anwar; Gunawan, Hendra
Journal of the Indonesian Mathematical Society Volume 16 Number 1 (April 2010)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.16.1.27.1-7

Abstract

We study the relation between two known n-norms on lp, the space ofp-summable sequences. One n-norm is derived from GÄahler's formula (1969), whilethe other is due to Gunawan (2001). We show in particular that the convergence inone n-norm implies that in the other. The key is to show that the convergence ineach of these n-norms is equivalent to that in the usual norm on lp.DOI : http://dx.doi.org/10.22342/jims.16.1.27.1-7
RECIPES FOR BUILDING THE DUAL OF CONIC OPTIMIZATION PROBLEM Chaerani, Diah
Journal of the Indonesian Mathematical Society Volume 16 Number 1 (April 2010)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.16.1.28.9-23

Abstract

Building the dual of the primal problem of Conic Optimization (CO) isa very important step to make the ¯nding optimal solution. In many cases a givenproblem does not have the simple structure of CO problem (i.e., minimizing a linearfunction over an intersection between a±ne space and convex cones) but there areseveral conic constraints and sometimes also equality constraints. In this paper wedeal with the question how to form the dual problem in such cases. We discuss theanswer by considering several conic constraints with or without equality constraints.The recipes for building the dual of such cases is formed in standard matrix forms,such that it can be used easily on the numerical experiment. Special attention isgiven to dual development of special classes of CO problems, i.e., conic quadraticand semide¯nite problems. In this paper, we also brie°y present some preliminariestheory on CO as an introduction to the main topic.DOI : http://dx.doi.org/10.22342/jims.16.1.28.9-23
STRONG CONVERGENCE THEOREMS FOR STRICTLY ASYMPTOTICALLY PSEUDOCONTRACTIVE MAPPINGS IN HILBERT SPACES Saluja, Gurucharan Singh; Nashine, Hemant Kumar
Journal of the Indonesian Mathematical Society Volume 16 Number 1 (April 2010)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.16.1.29.25-38

Abstract

We propose a new (CQ) algorithm for strictly asymptotically pseudo-contractive mappings and obtain a strong convergence theorem for this class ofmappings in the framework of Hilbert spaces.DOI : http://dx.doi.org/10.22342/jims.16.1.29.25-38
A TRAVELING PULSE BEHAVIOR OF THE SPREAD OF THE AVIAN FLU VIRUSES AMONG FLOCK AND HUMAN Pudjaprasetya, S.R.; Gunawan, A.Y.
Journal of the Indonesian Mathematical Society Volume 16 Number 1 (April 2010)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.16.1.30.39-49

Abstract

We propose two disease transmission models: the SI model with di®u-sive terms as a model for transmission of avian in°uenza viruses among °ock withconstant population density, and the host-vector SI model with di®usive terms fortransmission among °ock and human. There is a threshold number that determinewhether the diseases become epidemic or not. It depends on three parameters: theaverage length of the infective period, the contact parameter, and the density ofsusceptible population at the initial time. With di®usive terms in the model, thespatial spread of the infection is obvious. Threshold number greater than one isalso the necessary condition for the spreading of infection in the form of a travelingpulse. Its minimum velocity can be determined. We implement the MacCormackmethod, and simulate the generation of a traveling pulse starting from one infectedbird. Numerically, we obtain the percentage of survival in °ock and human afterthe epidemic. We also simulate the minimal portion of immunization in order toprevent further spread.DOI : http://dx.doi.org/10.22342/jims.16.1.30.39-49
THE NEW NOTION DISTANCE OF CONTENT BASED IMAGE RETRIEVAL (CBIR) Herwindiati, Dyah E.; Isa, Sani M.; Sagara, Rahmat
Journal of the Indonesian Mathematical Society Volume 16 Number 1 (April 2010)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.16.1.31.51-67

Abstract

This paper proposes a new notion distance on the CBIR process whichis derived from the measure of multivariate dispersion called vector variance (VV).The minimum vector variance (MVV) estimator is robust estimator having the highbreakdown point. The CBIR is a retrieval technique using the visual informationby retrieving collections of digital images. The process of retrieval is carried outby measuring the similarity between query image and the image in the databasethrough similarity measure. Distance is a metric often used as similarity measureon CBIR. The query image is relevant to an image in the database if the value ofsimilarity measure is 'small'. This means that a good CBIR retrieval system mustbe supported by an accurate similarity measure. The classical distance is generatedfrom the arithmetic mean which is vulnerable to the masking e®ect. The appearanceof extreme data causes the in°ation of deviation of the arithmetic mean, this impliesthe distance between the extreme data or the outlier becomes closer than it supposedto be. In the end of section we discuss the high performance of the MVV robustdistance to CBIR process.DOI : http://dx.doi.org/10.22342/jims.16.1.31.51-67
WAVELET SOLUTIONS AND STABILITY ANALYSIS OF PARABOLIC EQUATIONS Mishra, Vinod; -, Sabina
Journal of the Indonesian Mathematical Society Volume 16 Number 1 (April 2010)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.16.1.32.69-87

Abstract

In this paper wavelet solutions of extended Sideways and non stan-dard parabolic equations have been analyzed along with stabilization and errorsestimation.DOI : http://dx.doi.org/10.22342/jims.16.1.32.69-87

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