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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 625 Documents
First Eigenvalues of Geometric Operator under The Ricci-Bourguignon Flow Azami, Shahroud
Journal of the Indonesian Mathematical Society Volume 24 Number 1 (April 2018)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.24.1.434.51-60

Abstract

Let $(M,g(t))$ be a compact Riemannian manifold  and  the metric $g(t)$ evolve by the Ricci-Bourguignon flow. We find the formula variation of the eigenvalues of  geometric operator $-\Delta_{\phi}+cR$ under  the Ricci-Bourguignon flow, where  $\Delta_{\phi}$  is the Witten-Laplacian operator and $R$ is the scalar curvature. In the final  we show that some quantities dependent to the eigenvalues of  the geometric operator are  nondecreasing along the Ricci-Bourguignon flow on  closed manifolds  with nonnegative curvature.
Application of Lagrange Multiplier Method for Computing Fold Bifurcation Point in A Two-Prey One Predator Dynamical System Marwan, Marwan; Tuwankotta, Johan Matheus; Harjanto, Eric
Journal of the Indonesian Mathematical Society Volume 24 Number 2 (October 2018)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.24.2.595.7-19

Abstract

We propose by means of an example of applications of the classical Lagrange Multiplier Method for computing fold bifurcation point of an equilibrium ina one-parameter family of dynamical systems. We have used the fact that an equilibrium of a system, geometrically can be seen as an intersection between nullcline manifolds of the system. Thus, we can view the problem of two collapsing equilibria as a constrained optimization problem, where one of the nullclines acts as the cost function while the other nullclines act as the constraints.
On Strongly Associative (Semi)Hypergroups Jafarpour, Morteza; Jantani, Fatemeh; Leoreanu, Violeta
Journal of the Indonesian Mathematical Society Volume 23 Number 1 (April 2017)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.23.1.424.43-54

Abstract

In this paper we introduce the notion of a strongly associative hyperoperation that we call SASS and obtain new class of semihypergroups....
Perfect 3-Colorings of The Petersen‎ Graph Alaeiyan, Mehdi; Karami, Hamed; Siasat, Sajjad
Journal of the Indonesian Mathematical Society Volume 24 Number 2 (October 2018)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.24.2.246.47-53

Abstract

‎In this paper we enumerate the parameter matrices of all perfect 3-colorings of the Petersen graph‎. 
SOME PROPERTIES OF MATROIDS OBTAINED FROM CONCEPT LATTICE APPROACHES mao, hua
Journal of the Indonesian Mathematical Society Volume 22 Number 2 (October 2016)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.22.2.267.183-190

Abstract

Using the Hasse diagrams of concept lattices, we investigate therelations between matroids and geometric contexts, followed byjudging a mathematical construction to be a matroid. We provide anidea to find out the dual of a matroid from the ways of conceptlattice drawing. In addition, we utilize the Hasse diagrams ofconcept lattices to discuss the minors of matroids, direct sum ofmatroids and the connectivity of a matroid. All the consequences demonstrate that the theory of concept lattice drawing can be usedinto matroids. This generalizes the applied fields of conceptlattices.DOI : http://dx.doi.org/10.22342/jims.22.2.267.183-190
Bayesian Estimation of Random Parameter Models of Responses with Normal and Skew-t Distibutions Evidence from Monte Carlo Simulation Masjkur, Mohammad; Folmer, Henk
Journal of the Indonesian Mathematical Society Volume 24 Number 1 (April 2018)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.24.1.516.27-50

Abstract

Random parameter models have been found to outperform xed pa-rameter models to estimate dose-response relationships with independent errors. Amajor restriction, however, is that the responses are assumed to be normally andsymmetrically distributed. The purpose of this paper is to analyze Bayesian infer-ence of random parameter response models in the case of independent responseswith normal and skewed, heavy-tailed distributions by way of Monte Carlo simu-lation. Three types of Bayesian estimators are considered: one applying a normal,symmetrical prior distribution, a second applying a Skew-normal prior and, a thirdapplying a Skew-t-distribution. We use the relative bias (RelBias) and Root MeanSquared Error (RMSE) as valuation criteria. We consider the commonly applied lin-ear Quadratic and the nonlinear Spillman-Mitscherlich dose-response models. Onesimulation examines the performance of the estimators in the case of independent,normally and symmetrically distributed responses; the other in the case of indepen-dent responses following a heavy-tailed, Skew-t-distribution. The main nding isthat the estimator based on the Skew-t prior outperforms the alternative estima-tors applying the normal and Skew-normal prior for skewed, heavy-tailed data. Fornormal data, the Skew-t prior performs approximately equally well as the Skew-normal and the normal prior. Furthermore, it is more ecient than its alternatives.Overall, the Skew-t prior seems to be preferable to the normal and Skew-normal fordose-response modeling.
Regularity Of Cubic Graph With Application Krishna, Kishore Kumar; Rashmanlou, Hossein; Talebi, Ali Asghar; Mofidnakhaei, Farshid
Journal of the Indonesian Mathematical Society Volume 25 Number 1 (March 2019)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.25.1.607.1-15

Abstract

A cubic graph is a generalized structure of a fuzzy graph that gives moreprecision, flexibility and compatibility to a system when compared with systems thatare designed using fuzzy graphs. In this paper, some properties of an edge regularcubic graph are given. Particularly, strongly regular, edge regular and bi-regularcubic graphs are defined and the necessary and sucient condition for a cubic graphto be strongly regular is studied. Likewise, we have introduced a partially edgeregular cubic graph and fully edge regular cubic graph with suitable illustrations.Finally, we gave an application of cubic digraph in travel time.
Further Remarks on n-Distance-Balanced Graphs Faghani, Morteza; Pourhadi, Ehsan
Journal of the Indonesian Mathematical Society Volume 25 Number 1 (March 2019)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.25.1.563.44-61

Abstract

Throughout this paper, we present a new strong property of graph so-called nicely n-distance-balanced which is notably stronger than the concept of n-distance-balanced recently given by the authors. We also initially introduce a newgraph invariant which modies Szeged index and is suitable to study n-distance-balanced graphs. Looking for the graphs extremal with respect to the modiedSzeged index it turns out the n-distance-balanced graphs with odd integer n arethe only bipartite graphs which can maximize the modied Szeged index and thisalso disproves a conjecture proposed by Khalifeh et al. [Khalifeh M.H.,Youse-Azari H., Ashra A.R., Wagner S.G.: Some new results on distance-based graphinvariants, European J. Combin. 30 (2009) 1149-1163]. Furthermore, we gathersome facts concerning with the nicely n-distance-balanced graphs generated by somewell-known graph products. To enlighten the reader some examples are provided.Moreover, a conjecture and a problem are presented within the results of this article.
On Best Proximity Points of Generalized Almost-F-Contraction Mappings Salamatbakhsh, Mahdi; Hamlbarani Haghi, Robab
Journal of the Indonesian Mathematical Society Volume 25 Number 1 (March 2019)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.25.1.532.16-23

Abstract

We provide some results about best proximity points of generalized almost-$F$-contraction mappings in metric spaces which generalize and extend recent  fixed point theorems. Also, we give an example to illustrate  our main result.
Measure of Non-Compactness in The Study of Solutions for A System of Integral Equations Karakaya, Vatan; Mursaleen, Mohammad; Bouzara, Nour El Houda; Sekman, Derya
Journal of the Indonesian Mathematical Society Volume 25 Number 1 (March 2019)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.25.1.554.62-74

Abstract

In this work, we prove the existence of solutions for a tripled systemof integral equations using some new results of fixed point theory associated withmeasure of noncompactness. These results extend the results in some previousworks. Also, the condition under which the operator admits fixed points is moregeneral than the others in literature.

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