Pub Date : 2021-07-01DOI: 10.14710/jfma.v4i1.10124
Leomarich F. Casinillo
Let G=(V(G), E(G)) be a connected graph with order |V(G)|=p and size |E(G)|=q. A graph G is said to be even-to-odd mean graph if there exists a bijection function phi:V(G) to {2, 4, ..., 2p} such that the induced mapping phi^*:E(G) to {3, 5, ..., 2p-1} defined by phi^*(uv)=[phi(u)+phi(v)]/2 for all uv element of E(G) is also bijective. The function is called an even-to-odd mean labeling of graph . This paper aimed to introduce a new technique in graph labeling. Hence, the concepts of even-to-odd mean labeling has been evaluated for some trees. In addition, we examined some properties of tree graphs that admits even-to-odd mean labeling and discussed some important results.
{"title":"ON EVEN-TO-ODD MEAN LABELING OF SOME TREES","authors":"Leomarich F. Casinillo","doi":"10.14710/jfma.v4i1.10124","DOIUrl":"https://doi.org/10.14710/jfma.v4i1.10124","url":null,"abstract":"Let G=(V(G), E(G)) be a connected graph with order |V(G)|=p and size |E(G)|=q. A graph G is said to be even-to-odd mean graph if there exists a bijection function phi:V(G) to {2, 4, ..., 2p} such that the induced mapping phi^*:E(G) to {3, 5, ..., 2p-1} defined by phi^*(uv)=[phi(u)+phi(v)]/2 for all uv element of E(G) is also bijective. The function is called an even-to-odd mean labeling of graph . This paper aimed to introduce a new technique in graph labeling. Hence, the concepts of even-to-odd mean labeling has been evaluated for some trees. In addition, we examined some properties of tree graphs that admits even-to-odd mean labeling and discussed some important results.","PeriodicalId":359074,"journal":{"name":"Journal of Fundamental Mathematics and Applications (JFMA)","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125186560","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
C. C. Marzuki, Yusnita Sari, Abdussakir Abdussakir, Fitri Aryani
Misalkan adalah suatu graf dan adalah bilangan bulat positif. Pelabelan- total pada graf adalah suatu pemetaan Bobot titik dinyatakan dan bobot sisi dinyatakan Suatu pelabelan- total dikatakan tak teratur total, jika bobot setiap titik berbeda dan bobot setiap sisi berbeda. Nilai ketakteraturan total (totally irregularity strength) dari graf dinotasikan dengan adalah nilai minimum atau label terbesar minimum yang digunakan untuk melabeli graf dengan pelabelan-k total tak teratur total. Dalam makalah ini diperoleh nilai ketakteraturan total 4 copy graf bintan Sn adalah dengan merupakan bilangan bulat positif dan
{"title":"NILAI KETAKTERATURAN TOTAL DARI EMPAT COPY GRAF BINTANG","authors":"C. C. Marzuki, Yusnita Sari, Abdussakir Abdussakir, Fitri Aryani","doi":"10.14710/jfma.v4i1.8935","DOIUrl":"https://doi.org/10.14710/jfma.v4i1.8935","url":null,"abstract":"Misalkan adalah suatu graf dan adalah bilangan bulat positif. Pelabelan- total pada graf adalah suatu pemetaan Bobot titik dinyatakan dan bobot sisi dinyatakan Suatu pelabelan- total dikatakan tak teratur total, jika bobot setiap titik berbeda dan bobot setiap sisi berbeda. Nilai ketakteraturan total (totally irregularity strength) dari graf dinotasikan dengan adalah nilai minimum atau label terbesar minimum yang digunakan untuk melabeli graf dengan pelabelan-k total tak teratur total. Dalam makalah ini diperoleh nilai ketakteraturan total 4 copy graf bintan Sn adalah dengan merupakan bilangan bulat positif dan","PeriodicalId":359074,"journal":{"name":"Journal of Fundamental Mathematics and Applications (JFMA)","volume":"63 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127062910","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The Sentosa Santul Women Farmers Group (KWT) is a group of women farmers in Dusun Santul, Kampar Utara District an is engaged in the field of food crops is chili. The Sentosa Santul Women Farmers group (KWT) uses 4 types of fertilizers for chili plant fertilization, namely hydro complex fertilizer, phonska, NPK Zamrud and goat manure.The KWT wants the minimum fertilizer cost but the nutrients in the plants are met. The method used in this research is the dual simplex method and the quick simplex method. The purpose of this study is to determine the minimum costs that must be incurred by the Womens Farmer Group (KWT) for fertilization using the dual simplex method and the quick simplex method to obtain an optimum and feasible solution. For the dual simplex method, the optimum and feasible solution were obtained using the Gauss Jordanelimination. While the quick simplex method, the solution is illustrated using a matrix to reduce the number of iterations needed to achieve the optimal solution. Based on the research result, it is found that the quick simplex method is more efficient than the dual simplex method. This can be seen from the number of iterations carried out. Dual simplex method iteration there are two iterations and quick simplex one iteration. The dual simplex method and the quick simplex method produce the same value.
{"title":"PENERAPAN PROGRAM LINIER MENGGUNAKAN METODE DUAL SIMPLEKS DAN METODE QUICK SIMPLEKS UNTUK MEMINIMUMKAN BIAYA (STUDI KASUS: KELOMPOK WANITA TANI (KWT) SENTOSA SANTUL)","authors":"Elfira - Safitri, Sri Basriati, Elvina Andiani","doi":"10.14710/jfma.v4i1.8879","DOIUrl":"https://doi.org/10.14710/jfma.v4i1.8879","url":null,"abstract":"The Sentosa Santul Women Farmers Group (KWT) is a group of women farmers in Dusun Santul, Kampar Utara District an is engaged in the field of food crops is chili. The Sentosa Santul Women Farmers group (KWT) uses 4 types of fertilizers for chili plant fertilization, namely hydro complex fertilizer, phonska, NPK Zamrud and goat manure.The KWT wants the minimum fertilizer cost but the nutrients in the plants are met. The method used in this research is the dual simplex method and the quick simplex method. The purpose of this study is to determine the minimum costs that must be incurred by the Womens Farmer Group (KWT) for fertilization using the dual simplex method and the quick simplex method to obtain an optimum and feasible solution. For the dual simplex method, the optimum and feasible solution were obtained using the Gauss Jordanelimination. While the quick simplex method, the solution is illustrated using a matrix to reduce the number of iterations needed to achieve the optimal solution. Based on the research result, it is found that the quick simplex method is more efficient than the dual simplex method. This can be seen from the number of iterations carried out. Dual simplex method iteration there are two iterations and quick simplex one iteration. The dual simplex method and the quick simplex method produce the same value.","PeriodicalId":359074,"journal":{"name":"Journal of Fundamental Mathematics and Applications (JFMA)","volume":"141 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123049337","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-07-01DOI: 10.14710/jfma.v4i1.10583
Emily L. Casinillo, Leomarich F. Casinillo
This paper aims to construct a new formula that generates a Fibonacci numbers in a generalized Pythagorean triples. In addition, the paper formulates some Fibonacci identities and discuss some important findings.
{"title":"A SHORT NOTE ON FIBONACCI NUMBERS IN A GENERALIZED PYTHAGOREAN TRIPLES","authors":"Emily L. Casinillo, Leomarich F. Casinillo","doi":"10.14710/jfma.v4i1.10583","DOIUrl":"https://doi.org/10.14710/jfma.v4i1.10583","url":null,"abstract":"This paper aims to construct a new formula that generates a Fibonacci numbers in a generalized Pythagorean triples. In addition, the paper formulates some Fibonacci identities and discuss some important findings.","PeriodicalId":359074,"journal":{"name":"Journal of Fundamental Mathematics and Applications (JFMA)","volume":"72 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127154586","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Rina Juliana, M. Masriani, I. G. A. W. Wardhana, N. W. Switrayni, I. Irwansyah
Coprime Graph is a geometric representation of a group in the form of undirectedgraph. The coprime graph of a group G, denoted by $Gamma_G$ is a graph whose vertices are all elements of group G; and two distinct vertices a and b are adjacent if and only if $(|a|,|b|)=1$. In this paper, we study coprime graph of integers modulo n group and its subgroups. One of the results is if n is a prime number, then coprime graph of integers modulo n group is a bipartite graph.
{"title":"COPRIME GRAPH OF INTEGERS MODULO n GROUP AND ITS SUBGROUPS","authors":"Rina Juliana, M. Masriani, I. G. A. W. Wardhana, N. W. Switrayni, I. Irwansyah","doi":"10.14710/jfma.v3i1.7412","DOIUrl":"https://doi.org/10.14710/jfma.v3i1.7412","url":null,"abstract":"Coprime Graph is a geometric representation of a group in the form of undirectedgraph. The coprime graph of a group G, denoted by $Gamma_G$ is a graph whose vertices are all elements of group G; and two distinct vertices a and b are adjacent if and only if $(|a|,|b|)=1$. In this paper, we study coprime graph of integers modulo n group and its subgroups. One of the results is if n is a prime number, then coprime graph of integers modulo n group is a bipartite graph.","PeriodicalId":359074,"journal":{"name":"Journal of Fundamental Mathematics and Applications (JFMA)","volume":"45 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122194075","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Y. Sumanto, Abdul Aziz, Solikhin Solikhin, R. H. S. Utomo
In the Gamma-semigroup generated from a semigroup, we can define some equivalence relations called the Green relation. Furthermore, we can examine the relationship between the Green relation on the Gamma-semigroup and the Green relation on it’s generating semigroup.
{"title":"RELASI GREEN PADA GAMMA-SEMIGRUP YANG DIBANGKITKAN DARI SUATU SEMIGRUP","authors":"Y. Sumanto, Abdul Aziz, Solikhin Solikhin, R. H. S. Utomo","doi":"10.14710/jfma.v3i1.7765","DOIUrl":"https://doi.org/10.14710/jfma.v3i1.7765","url":null,"abstract":"In the Gamma-semigroup generated from a semigroup, we can define some equivalence relations called the Green relation. Furthermore, we can examine the relationship between the Green relation on the Gamma-semigroup and the Green relation on it’s generating semigroup.","PeriodicalId":359074,"journal":{"name":"Journal of Fundamental Mathematics and Applications (JFMA)","volume":"127 4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129881376","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Stiff stochastic differential equations arise in many applications including in the area of biology. In this paper, we present numerical solution of stochastic differential equations representing the Malthus population model and SIS epidemic model, using the improved implicit Milstein method of order one proposed in [6]. The open source programming language SCILAB is used to perform the numerical simulations. Results show that the method is more accurate and stable compared to the implicit Euler method.
{"title":"NUMERICAL SIMULATION OF STOCHASTIC DIFFERENTIAL EQUATIONS USING IMPLICIT MILSTEIN METHOD","authors":"R. Herdiana","doi":"10.14710/jfma.v3i1.7416","DOIUrl":"https://doi.org/10.14710/jfma.v3i1.7416","url":null,"abstract":"Stiff stochastic differential equations arise in many applications including in the area of biology. In this paper, we present numerical solution of stochastic differential equations representing the Malthus population model and SIS epidemic model, using the improved implicit Milstein method of order one proposed in [6]. The open source programming language SCILAB is used to perform the numerical simulations. Results show that the method is more accurate and stable compared to the implicit Euler method.","PeriodicalId":359074,"journal":{"name":"Journal of Fundamental Mathematics and Applications (JFMA)","volume":"35 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114186657","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
This article discussed the seminorm on Dunford integrable functional space. We show that the set of all Dunford integrable functions is linear space. The results were shown that $left( D[a,b], left| cdot right| right)$ is a seminorm space with function defined by $left| f right|=underset{begin{smallmatrix} {{x}^{*}}in {{X}^{*}} left| {{x}^{*}} right|le 1 end{smallmatrix}}{mathop{sup }}, left{ underset{Esubset [a,b]}{mathop{sup }},,left| left( L right)intlimits_{E}{{{x}^{*}}f} right| right}$. Furthermore, $left( D[a,b], d right)$ is a pseudomatrix space with function defined by $dleft( f,g right)=left| f-g right|=underset{begin{smallmatrix} {{x}^{*}}in {{X}^{*}} left| {{x}^{*}} right|le 1 end{smallmatrix}}{mathop{sup }}, left{ underset{Esubset [a,b]}{mathop{sup }},,left| left( L right)intlimits_{E}{{{x}^{*}}left( f-g right)} right| right}$.
{"title":"SEMINORM PADA RUANG FUNGSI TERINTEGRAL DUNFORD","authors":"Solikhin Solikhin, Y. Sumanto, Abdul Aziz","doi":"10.14710/JFMA.V2I1.30","DOIUrl":"https://doi.org/10.14710/JFMA.V2I1.30","url":null,"abstract":"This article discussed the seminorm on Dunford integrable functional space. We show that the set of all Dunford integrable functions is linear space. The results were shown that $left( D[a,b], left| cdot right| right)$ is a seminorm space with function defined by $left| f right|=underset{begin{smallmatrix} {{x}^{*}}in {{X}^{*}} left| {{x}^{*}} right|le 1 end{smallmatrix}}{mathop{sup }}, left{ underset{Esubset [a,b]}{mathop{sup }},,left| left( L right)intlimits_{E}{{{x}^{*}}f} right| right}$. Furthermore, $left( D[a,b], d right)$ is a pseudomatrix space with function defined by $dleft( f,g right)=left| f-g right|=underset{begin{smallmatrix} {{x}^{*}}in {{X}^{*}} left| {{x}^{*}} right|le 1 end{smallmatrix}}{mathop{sup }}, left{ underset{Esubset [a,b]}{mathop{sup }},,left| left( L right)intlimits_{E}{{{x}^{*}}left( f-g right)} right| right}$.","PeriodicalId":359074,"journal":{"name":"Journal of Fundamental Mathematics and Applications (JFMA)","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-07-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129166914","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Abdul Aziz, Y. Sumanto, Solikhin Solikhin, R. H. S. Utomo
In this paper, discuss the relationship between approachable function with bounded variations, measurement, and absolute continuity. Futhermore, If f is approachable function of interval [a, b] then f is a bounded variation function and f is a measurable function of interval [a, b]. In relation with absolute continuity, if f is an absolute continuous of interval [a, b] then f is approachable function of [a, b].
{"title":"BEBERAPA KARAKTERISTIK BARU PADA FUNGSI TERDEKATI","authors":"Abdul Aziz, Y. Sumanto, Solikhin Solikhin, R. H. S. Utomo","doi":"10.14710/JFMA.V2I1.31","DOIUrl":"https://doi.org/10.14710/JFMA.V2I1.31","url":null,"abstract":"In this paper, discuss the relationship between approachable function with bounded variations, measurement, and absolute continuity. Futhermore, If f is approachable function of interval [a, b] then f is a bounded variation function and f is a measurable function of interval [a, b]. In relation with absolute continuity, if f is an absolute continuous of interval [a, b] then f is approachable function of [a, b].","PeriodicalId":359074,"journal":{"name":"Journal of Fundamental Mathematics and Applications (JFMA)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-07-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131120508","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
This study estimates the level of risk in investing in gold. Value at Risk (VaR) is a method which can be used for calculating the level of risk. There are two distribution approaches used, namely Generalized Extreme Value Distribution (GEV) and Generalized Distribution Pareto (GDP). These two distributions are used because gold data is alleged to have a heavy tail distribution. The study uses secondary data on gold prices with January 2015 to December 2017 period with a total of 876 data. The results obtained indicate that the data return for the gold price has a heavy tail. Estimation results obtained indicate that the VaR value at the 95% confidence level is less than VaR with a 99% confidence level so it can be concluded that the higher the level of risk to be taken, the greater the level of confidence and capital allocation to cover losses taken by investors. The GDP Estimation value gives a greater value than GEV. and the largest VaR value is shown at 4.049%, which means that the maximum loss that may occur in one period ahead is 4.049%.
{"title":"ESTIMASI TINGKAT RISIKO INVESTASI EMAS MENGGUNAKAN PENDEKATAN GENERALIZED EXTREME VALUE DAN GENERALIZED PARETO DISTRIBUTION","authors":"Noviana Pratiwi, C. Iswahyudi","doi":"10.14710/JFMA.V2I1.22","DOIUrl":"https://doi.org/10.14710/JFMA.V2I1.22","url":null,"abstract":"This study estimates the level of risk in investing in gold. Value at Risk (VaR) is a method which can be used for calculating the level of risk. There are two distribution approaches used, namely Generalized Extreme Value Distribution (GEV) and Generalized Distribution Pareto (GDP). These two distributions are used because gold data is alleged to have a heavy tail distribution. The study uses secondary data on gold prices with January 2015 to December 2017 period with a total of 876 data. The results obtained indicate that the data return for the gold price has a heavy tail. Estimation results obtained indicate that the VaR value at the 95% confidence level is less than VaR with a 99% confidence level so it can be concluded that the higher the level of risk to be taken, the greater the level of confidence and capital allocation to cover losses taken by investors. The GDP Estimation value gives a greater value than GEV. and the largest VaR value is shown at 4.049%, which means that the maximum loss that may occur in one period ahead is 4.049%.","PeriodicalId":359074,"journal":{"name":"Journal of Fundamental Mathematics and Applications (JFMA)","volume":"49 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131185763","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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