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INDONESIA
Journal of the Indonesian Mathematical Society
Published by Indonesian Mathematical Society
ISSN : 20868952     EISSN : 24600245     DOI : -
Core Subject : Education,
Mathematics
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
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COMPLEMENTARY DISTANCE SPECTRA AND COMPLEMENTARY DISTANCE ENERGY OF LINE GRAPHS OF REGULAR GRAPHS Harishchandra S. Ramane; K.C. Nandeesh
Journal of the Indonesian Mathematical Society Volume 22 Number 1 (April 2016)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.22.1.205.27-35

Abstract

The complementary distance (CD) matrix of a graph $G$ is defined as $CD(G) = [c_{ij}]$, where $c_{ij} = 1+D-d_{ij}$ if $i \neq j$ and $c_{ij} = 0$, otherwise, where $D$ is the diameter of $G$ and $d_{ij}$ is the distance between the vertices $v_i$ and $v_j$ in $G$. The $CD$-energy of $G$ is defined as the sum of the absolute values of the eigenvalues of $CD$-matrix. Two graphs are said to be $CD$-equienergetic if they have same $CD$-energy. In this paper we show that the complement of the line graph of certain regular graphs has exactly one positive $CD$-eigenvalue. Further we obtain the $CD$-energy of line graphs of certain regualr graphs and thus constructs pairs of $CD$-equienergetic graphs of same order and having different $CD$-eigenvalues.DOI : http://dx.doi.org/10.22342/jims.22.1.205.27-35
A DYNAMICAL SYSTEM APPROACH IN MODELING TECHNOLOGY TRANSFER Hennie Husniah; Sebrina Sebrina; A. K. Supriatna
Journal of the Indonesian Mathematical Society Volume 22 Number 1 (April 2016)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.22.1.212.37-59

Abstract

In this paper we discuss a mathematical model of two parties technology transfer from a leader to a follower. The model is reconstructed via dynamical system approach from a known standard Raz and Assa model and we found some important conclusion which have not been discussed in the original model. The model assumes that in the absence of technology transfer from a leader to a follower, both the leader and the follower have a capability to grow independently with a known upper limit of the development. We obtain a rich mathematical structure of the steady state solution of the model. We discuss a special situation in which the upper limit of the technological development of the follower is higher than that of the leader, but the leader has started earlier than the follower in implementing the technology. In this case we show a paradox stating that the follower is unable to reach its original upper limit of the technological development could appear whenever the transfer rate is sufficiently high.  We propose a new model to increase realism so that any technological transfer rate could only has a positive effect in accelerating the rate of growth of the follower in reaching its original upper limit of the development.DOI : http://dx.doi.org/10.22342/jims.22.1.212.37-59
CHARACTERIZATION OF NAKAYAMA $m$-CLUSTER TILTED ALGEBRAS OF TYPE $A_n$ Faisal Faisal; Intan Muchtadi-Alamsyah
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.22.2.213.93-130

Abstract

Abstract. For any natural natural number m, the m-cluster tilted algebras are generalization of cluster tilted algebras. These algebras are defined as the endomorphism of certain objects in m-cluster category called m-cluster tilting objects. Finding such objectin the m-cluster category has become a combinatorial problem. In this article we charac-terize Nakayama m-cluster tilted algebras of type An by geometric description given byBaur and Marsh.DOI : http://dx.doi.org/10.22342/jims.22.2.213.93-130
EIGENVALUES VARIATION OF THE P-LAPLACIAN UNDER THE RICCI FLOW ON SM Shahroud Azami
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.22.2.215.157-177

Abstract

Let (M,F) be a compact Finsler manifold. Studying the eigenvalues and eigenfunctions for the linear and nonlinear geometric operators is a known problem. In this paper we will consider the eigenvalue problem for the p-laplace operator for Sasakian metric acting on the space of functions on SM. We find the first variation formula for the eigenvalues of p-Laplacian on SM evolving by the Ricci flow on M and give some examples.DOI : http://dx.doi.org/10.22342/jims.22.2.215.157-177
ANTIMAGIC LABELING OF DIGRAPHS Nalliah Moviri
Journal of the Indonesian Mathematical Society Volume 22 Number 1 (April 2016)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.22.1.216.61-69

Abstract

AbstractAn antimagic labeling of a digraph D with p vertices and q arcs is a bin f from the set of all arcs to the set of positive integers such that all the p oriented vertex weights are distinct, where an oriented vertex weight is the sum of the labels of all arcs entering that vertex minus the sum of the labels of all arcs leaving it. A digraph D is called antimagic if it admits an antimagic labeling. In this paper we investigate the existence of antimagic labelings of some few families of digraphs using hooked Skolem sequences.DOI : http://dx.doi.org/10.22342/jims.22.1.216.61-69
A CERTAIN SUBCLASS OF MULTIVALENT ANALYTIC FUNCTIONS WITH NEGATIVE COEFFICIENTS FOR OPERATOR ON HILBERT SPACE Abbas Kareem Wanas
Journal of the Indonesian Mathematical Society Volume 21 Number 2 (October 2015)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.21.2.228.77-82

Abstract

By making use of the operators on Hilbert space, we introduce and studya subclass Ak of multivalent analytic functions with negative coecients. Also we obtain some geometric properties.DOI : http://dx.doi.org/10.22342/jims.21.2.228.77-82 
WHEN IS AN ABELIAN WEAKLY CLEAN RING CLEAN? Peter Danchev
Journal of the Indonesian Mathematical Society Volume 21 Number 2 (October 2015)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.21.2.229.83-91

Abstract

We answer the title question in the armative by showing that anyabelian weakly clean ring for which 2 belongs to its Jacobson radical (in particular, if 2 is nilpotent) has to be clean. Some constructive examples, one of which illustrates that this is no longer true removing the condition on the 2, are given as well.DOI : http://dx.doi.org/10.22342/jims.21.2.229.83-91
EULERIAN AND HAMILTONIAN PROPERTIES OF GALLAI AND ANTI-GALLAI TOTAL GRAPHS Pravin Garg; Deepa Sinha; Shanu Goyal
Journal of the Indonesian Mathematical Society Volume 21 Number 2 (October 2015)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.21.2.230.105-116

Abstract

Let $G = (V, E)$ be a graph. The \textit{Gallai total graph} $\Gamma_T(G)$ of $G$ is the graph, where $V(\Gamma_T(G))=V \cup E$ and $uv \in E(\Gamma_T(G))$ if and only if \begin{itemize} \item[$(i)$] $u$ and $v$ are adjacent vertices in $G$, or \item[$(ii)$] $u$ is incident to $v$ or $v$ is incident to $u$ in $G$, or \item[$(iii)$] $u$ and $v$ are adjacent edges in $G$ which do not span a triangle in $G$. \end{itemize}   The \textit{anti-Gallai total graph} $\Delta_T(G)$ of $G$ is the graph, where $V(\Delta_T(G))=V \cup E$ and $uv \in E(\Delta_T(G))$ if and only if \begin{itemize} \item[$(i)$] $u$ and $v$ are adjacent vertices in $G$, or \item[$(ii)$] $u$ is incident to $v$ or $v$ is incident to $u$ in $G$, or \item[$(iii)$] $u$ and $v$ are adjacent edges in $G$ and lie on a same triangle in $G$. \end{itemize}   In this paper, we discuss Eulerian and Hamiltonian properties of Gallai and anti-Gallai total graphs.DOI : http://dx.doi.org/10.22342/jims.21.2.230.105-116
Edge Transitive Dihedral Covers of The Heawood Graph Laleh Pourmokhtar; Mehdi Alaeiyan
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.24.2.232.1-6

Abstract

A regular cover of a connected graph is called dihedral ifits transformation group is dihedral. In this paper, the authors clas-sify all dihedral coverings of the Heawood graph whose fibre-preservingautomorphism subgroups act edge-transitively.
FOUNDATIONS OF ORDERED (SEMI)HYPERRINGS Bijan Davvaz; S. Omidi
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.22.2.233.131-150

Abstract

In this paper, we introduce the notion of general hyperring $(R,+,\cdot)$ besides a binary relation $\le $, where $\le $ is a partial order such that satisfies the conditions: (1) If $a \le b$, then $a+c \le b+c$, meaning that for any $x \in a+c$, there exists $y \in b+c$ such that $x\le y$. The case $c+a\le c+b$ is defined similarly. (2) If $a \le b$ and $c \in R$, then $a\cdot c \le b\cdot c$, meaning that for any $x\in a\cdot c$, there exists $y\in b\cdot c$ such that $x\le y$. The case $c\cdot a \le c\cdot b$ is defined similarly. This structure is called an ordered general hyperring. Also, we present several examples of ordered general hyperrings and prove some results in this respect. By using the notion of pseudoorder on an ordered general hyperring $(R,+,\cdot,\le)$, we obtain an ordered ring. Moreover, we study some properties of pseudoorder on an ordered general hyperring.DOI : http://dx.doi.org/10.22342/jims.22.2.233.131-150

Page 39 of 63 | Total Record : 625

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