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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 14 Documents
 1   2 
Search results for , issue "Volume 25 Number 1 (March 2019)" : 14 Documents clear
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.
Metric Dimension of Graph Join P2 and Pt Haryanto, Loeky; Nurdin, Nurdin; Hasmawati, Hasmawati
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.25.1.747.75-84

Abstract

The following metric dimension of join two paths $P_2 + P_t$ is determined as follows. For every $k = 1, 2, 3, ...$ and $t = 2 + 5k$ or $t = 3 + 5k$, the dimension of $P_2 + P_t$ is $2 + 2k$ whereas for $t = 4 + 5k, t = 5(k+1)$ or $t = 1 + 5(k+1)$, the dimension is $3 + 2k$. In case $t \geq 7$, the dimension is determined by a chosen (maximal) ordered basis for $P_2 + P_t$ in which the integers 1, 2 are the two consecutive vertices of $P_2$ and the next integers $3, 4, ..., t + 2$ are the $t$ consecutive vertices of $P_t$. If $t \geq 10$, the ordered binary string contains repeated substrings of length 5. For $t 7$, the dimension is easily found using a computer search, or even just using hand computations.
On Ideals of Bi-Algebras Ahn, S. S; Ko, J. M; Saeid, Arsham Borumand
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.25.1.735.24-34

Abstract

In this paper, we discuss normal subalgebras in BI-algebras and obtain the quotient BI-algebra which is useful for the study of structures of BI-algebras. Moreover, we obtain several conditions for obtaining BI-algebras on the non-negative real numbers by using an analytic methods.
On phi-2-Absorbing phi‎-2-Absorbing Primary Hyperideals of A Multiplicative Hyperring Anbarloei, Mahdi
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.25.1.699.35-43

Abstract

‎Let $R$ be a multiplicative hyperring‎. ‎In this paper‎, ‎we extend the concept of 2-absorbing hyperideals and 2-absorbing primary hyperideals to the context ‎$‎\varphi‎$‎-2-absorbing hyperideals and ‎$‎\varphi‎$‎-2-absorbing primary hyperideals. Let ‎$‎E(R)‎$‎ be the set of hyperideals of ‎$‎R‎$‎‎ and ‎$\varphi : E(R) \longrightarrow E(R) \cup \{\phi\}‎$‎ be a function. A nonzero proper hyperideal ‎$‎I‎$‎ of ‎$‎R‎$‎ is called a ‎$\varphi‎$‎- 2-absorbing hyperideal if for all ‎$x, y, z \in R, xoyoz \subseteq I- \varphi(I)‎$‎ implies‎$xoy \subseteq I‎$‎ or ‎$‎yoz \subseteq I‎$‎ or ‎$‎xoz \subseteq I‎$‎. Also, a nonzero proper hyperideal ‎$‎I‎$‎ of ‎$‎R‎$‎ is called a ‎$\varphi‎$‎- 2-absorbing primary hyperideal if for all ‎$x, y, z \in R, \ xoyoz \subseteq I- \varphi(I)‎$‎ implies‎$xoy \subseteq I‎$‎ or ‎$‎yoz \subseteq r(I)‎$‎ or ‎$‎xoz \subseteq r(I)‎$‎. A number of results concerning them are given.
On Best Proximity Points of Generalized Almost-F-Contraction Mappings Mahdi Salamatbakhsh; Robab Hamlbarani Haghi
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 Vatan Karakaya; Mohammad Mursaleen; Nour El Houda Bouzara; Derya Sekman
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.
Further Remarks on n-Distance-Balanced Graphs Morteza Faghani; Ehsan Pourhadi
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.

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