The purpose of this study is to analyze pro-poor growth in South Sulawesi Province with an income dimension approach for the classification of urban and rural areas. This study reveals the poverty situation in South Sulawesi and the extent of the growth of the poor population. In addition, an overview of the effects of growth and distribution effects on changes in poverty is also obtained. Using SUSENAS data from South Sulawesi Province from 2016 to 2018, it was found that growth tends to have a greater impact on reducing poverty in rural areas than in urban areas based on the results of the Shapley decomposition. The results of calculating the degree of pro-poor growth with PEGR, show that income growth tends to be trickle-down from 2016 to 2017. The decline in the poverty rate did occur but the benefits of growth received by the poor were proportionally less than the non-poor. Income growth shows pro poor in the period from 2017 to 2018.
{"title":"Application of the Poverty Equivalent Growth Rate (PEGR) Method (Case Study: Household Income Group in South Sulawesi 2016-2018)","authors":"Andy Rezky Pratama Syam","doi":"10.29303/emj.v5i1.125","DOIUrl":"https://doi.org/10.29303/emj.v5i1.125","url":null,"abstract":"The purpose of this study is to analyze pro-poor growth in South Sulawesi Province with an income dimension approach for the classification of urban and rural areas. This study reveals the poverty situation in South Sulawesi and the extent of the growth of the poor population. In addition, an overview of the effects of growth and distribution effects on changes in poverty is also obtained. Using SUSENAS data from South Sulawesi Province from 2016 to 2018, it was found that growth tends to have a greater impact on reducing poverty in rural areas than in urban areas based on the results of the Shapley decomposition. The results of calculating the degree of pro-poor growth with PEGR, show that income growth tends to be trickle-down from 2016 to 2017. The decline in the poverty rate did occur but the benefits of growth received by the poor were proportionally less than the non-poor. Income growth shows pro poor in the period from 2017 to 2018.","PeriodicalId":281429,"journal":{"name":"EIGEN MATHEMATICS JOURNAL","volume":"244 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116003416","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}
Evi Yunartika Asmarani, A. G. Syarifudin, Gede Adhitya Wisnu Wardhana, Ni, Wayan Switrayni
Graph theory is one of the topics in mathematics that is quite interesting to study because it is applicable and can be combined with other mathematical topics such as group theory. The combination of graph theory and group theory is that graphs can be used to represent a group. An example of a graph is a power graph. A power graph of the group is defined as a graph whose vertex set is all elements of and two distinct vertices and are connected if and only if or for a positive integer x and y. In this study, the author discusses the power graph of the dihedral group The results obtained from this study are the power graph of the dihedral group where with prime numbers and an natural number is a graph consisting of two non-disjoint subgraphs, namely complete subgraphs and star subgraphs. And we find that its radius and diameter are 1 and 2.
{"title":"The Power Graph of a Dihedral Group","authors":"Evi Yunartika Asmarani, A. G. Syarifudin, Gede Adhitya Wisnu Wardhana, Ni, Wayan Switrayni","doi":"10.29303/emj.v4i2.117","DOIUrl":"https://doi.org/10.29303/emj.v4i2.117","url":null,"abstract":"Graph theory is one of the topics in mathematics that is quite interesting to study because it is applicable and can be combined with other mathematical topics such as group theory. The combination of graph theory and group theory is that graphs can be used to represent a group. An example of a graph is a power graph. A power graph of the group is defined as a graph whose vertex set is all elements of and two distinct vertices and are connected if and only if or for a positive integer x and y. In this study, the author discusses the power graph of the dihedral group The results obtained from this study are the power graph of the dihedral group where with prime numbers and an natural number is a graph consisting of two non-disjoint subgraphs, namely complete subgraphs and star subgraphs. And we find that its radius and diameter are 1 and 2.","PeriodicalId":281429,"journal":{"name":"EIGEN MATHEMATICS JOURNAL","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114168064","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 fuzzy set theory is mathematics that applies fuzziness characteristics, so that gives the truth value at interval [0,1]. It is different from the crisp set that gives a truth value of 0 if it is not a member and 1 if it is a member. The theory of fuzzy sets has been developed continuously by scientists. One of the developments of the fuzzy set is the fuzzy metric space which the definition was introduced by George and Veeramani. Based on the analysis results, it is found that every metric space X if and only if X is fuzzy metric space. As a result, the topological properties of the metric space still apply to the fuzzy metric space
{"title":"Fuzzy Metric Space and Its Topological Properties","authors":"M. Masriani, Q. Aini, Syamsul Bahri","doi":"10.29303/emj.v4i2.95","DOIUrl":"https://doi.org/10.29303/emj.v4i2.95","url":null,"abstract":"The fuzzy set theory is mathematics that applies fuzziness characteristics, so that gives the truth value at interval [0,1]. It is different from the crisp set that gives a truth value of 0 if it is not a member and 1 if it is a member. The theory of fuzzy sets has been developed continuously by scientists. One of the developments of the fuzzy set is the fuzzy metric space which the definition was introduced by George and Veeramani. Based on the analysis results, it is found that every metric space X if and only if X is fuzzy metric space. As a result, the topological properties of the metric space still apply to the fuzzy metric space","PeriodicalId":281429,"journal":{"name":"EIGEN MATHEMATICS JOURNAL","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-01-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115191067","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}
Parizal Hidayatullah, I. Irwansyah, Q. Aini, Bulqis Nebulla Syechah
The pipeline network is one of the most complex optimization problems consisting of several elements: reservoirs, pipes, valves, etc. The pipeline network is designed to deliver water to consumers by considering the demand and adequate pressure on the water pipe network. The main problem in designing reliable pipelines is the cost. The amount of cost that most influences the design of pipelines is the diameter of the pipe used. Therefore, this study aims to combine (hybrid) simulated annealing algorithm with genetic algorithm to optimize water pipe networks. The simulated annealing algorithm is the main algorithm in finding the optimal cost.Meanwhile, the genetic algorithm will assist in the pipeline update process using the roulette wheel selection. Simulation data is used to test the hybrid algorithm performance compared to the standard simulated annealing algorithm. The results show that the simulated annealing hybrid algorithm is able to get a more optimal cost in designing a water pipe network compared to the standard simulated annealing algorithm. Keywords: Optimization, Epanet 2.0, Simulated Annealing, and Genetic Algorithm
{"title":"Pipeline Network Optimization using Hybrid Algorithm between Simulated Annealing and Genetic Algorithms","authors":"Parizal Hidayatullah, I. Irwansyah, Q. Aini, Bulqis Nebulla Syechah","doi":"10.29303/emj.v4i2.100","DOIUrl":"https://doi.org/10.29303/emj.v4i2.100","url":null,"abstract":"The pipeline network is one of the most complex optimization problems consisting of several elements: reservoirs, pipes, valves, etc. The pipeline network is designed to deliver water to consumers by considering the demand and adequate pressure on the water pipe network. The main problem in designing reliable pipelines is the cost. The amount of cost that most influences the design of pipelines is the diameter of the pipe used. Therefore, this study aims to combine (hybrid) simulated annealing algorithm with genetic algorithm to optimize water pipe networks. The simulated annealing algorithm is the main algorithm in finding the optimal cost.Meanwhile, the genetic algorithm will assist in the pipeline update process using the roulette wheel selection. Simulation data is used to test the hybrid algorithm performance compared to the standard simulated annealing algorithm. The results show that the simulated annealing hybrid algorithm is able to get a more optimal cost in designing a water pipe network compared to the standard simulated annealing algorithm. Keywords: Optimization, Epanet 2.0, Simulated Annealing, and Genetic Algorithm","PeriodicalId":281429,"journal":{"name":"EIGEN MATHEMATICS JOURNAL","volume":"35 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129938754","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 compares the Fuzzy Time Series (FTS) method with the Autoregressive Integrated Moving Average (ARIMA) method on time series data. These two methods are often used in predicting future data. Forecasting or time-series data analysis is used to analyze data in the form of time series. In this study, Indonesian inflation data was used to be analyzed in comparing the FTS and ARIMA methods. Inflation is one of the economic indicators used to measure the success of a country's economy. If the inflation rate is low and stable, it will stimulate economic growth. This inflation value is calculated every month where the value can decrease and increase from one period to another. Comparison of the FTS and ARIMA methods is seen in the error value generated by the two methods. A method can be better than other methods if the value of the resulting forecast error is smaller. In this study, Mean Squared Error (MSE) and Mean Absolute Percentage Error (MAPE) were used to see the magnitude of the error value of the two methods on the fives data testing used. The results obtained in this study are the results of Indonesia's inflation forecast for the period January to May 2021 using the FTS method, respectively, at 0.57%, 0.375%, 0.2%, 0.2%, and 0.1125%, while the forecast results using the ARIMA method, respectively. Of 0.3715848%, 0.2362817%, 0.1508295%, 0.1731906%, and 0.2432851% and the results of calculating the size of error using MSE and MAPE indicate that the ARIMA method with the model ARIMA(3,0,0) is better at predicting inflation data in Indonesia with a value of MSE of 0.009 and MAPE of 64.987% compared to the FTS method resulted in MSE values of 0.047 and MAPE of 132.548%.
{"title":"Comparison of Fuzzy Time Series Methods and Autoregressive Integrated Moving Average (ARIMA) for Inflation Data","authors":"A. Qalbi, Khalilah Nurfadilah, Wahidah Alwi","doi":"10.29303/emj.v4i2.122","DOIUrl":"https://doi.org/10.29303/emj.v4i2.122","url":null,"abstract":"This study compares the Fuzzy Time Series (FTS) method with the Autoregressive Integrated Moving Average (ARIMA) method on time series data. These two methods are often used in predicting future data. Forecasting or time-series data analysis is used to analyze data in the form of time series. In this study, Indonesian inflation data was used to be analyzed in comparing the FTS and ARIMA methods. Inflation is one of the economic indicators used to measure the success of a country's economy. If the inflation rate is low and stable, it will stimulate economic growth. This inflation value is calculated every month where the value can decrease and increase from one period to another. Comparison of the FTS and ARIMA methods is seen in the error value generated by the two methods. A method can be better than other methods if the value of the resulting forecast error is smaller. In this study, Mean Squared Error (MSE) and Mean Absolute Percentage Error (MAPE) were used to see the magnitude of the error value of the two methods on the fives data testing used. The results obtained in this study are the results of Indonesia's inflation forecast for the period January to May 2021 using the FTS method, respectively, at 0.57%, 0.375%, 0.2%, 0.2%, and 0.1125%, while the forecast results using the ARIMA method, respectively. Of 0.3715848%, 0.2362817%, 0.1508295%, 0.1731906%, and 0.2432851% and the results of calculating the size of error using MSE and MAPE indicate that the ARIMA method with the model ARIMA(3,0,0) is better at predicting inflation data in Indonesia with a value of MSE of 0.009 and MAPE of 64.987% compared to the FTS method resulted in MSE values of 0.047 and MAPE of 132.548%. ","PeriodicalId":281429,"journal":{"name":"EIGEN MATHEMATICS JOURNAL","volume":"95 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130106005","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}
Husni Fitroti, Mamika Ujianita Romdhini, Ni Wayan Switrayni
Hill Cipher cryptographic algorithm is a technique of massage encoding by implementing a matrix of order n*n as a key matrix. The key matrix is a matrix that has a multiplicative inverse. The security of messages measured by the number of processes in encoding. More and more processes in the encoding will lead to the longer time required. So that the massage will be safer. The purpose of this research is to modify the Hill Cipher cryptographic algorithm by using the matrix of Fibonacci numbers generalization whose degree-p and rank-n Qn,p. The Matrix Qn,p is a matrix of order(p+1)*(p+1) and it will be the key matrix in the Hill Cipher cryptographic algorithm.This research showed that any matrix of Fibonacci number generalization Qn,p with p and n are positive integers that be used as a key matrix in the Hill Cipher algorithm. The modification of the Hill Cipher cryptographic algorithm has done with modifying the keys by making the degree (p) and rank (n) of Qn,p as the keys that used in the encryption and decryption process of data (message).
{"title":"Modifikasi Algoritma Kriptografi Hill Chiper dengan Matriks Generalisasi Bilanga Fibonacci dalam Penyandian Pesan","authors":"Husni Fitroti, Mamika Ujianita Romdhini, Ni Wayan Switrayni","doi":"10.29303/emj.v4i2.107","DOIUrl":"https://doi.org/10.29303/emj.v4i2.107","url":null,"abstract":"Hill Cipher cryptographic algorithm is a technique of massage encoding by implementing a matrix of order n*n as a key matrix. The key matrix is a matrix that has a multiplicative inverse. The security of messages measured by the number of processes in encoding. More and more processes in the encoding will lead to the longer time required. So that the massage will be safer. The purpose of this research is to modify the Hill Cipher cryptographic algorithm by using the matrix of Fibonacci numbers generalization whose degree-p and rank-n Qn,p. The Matrix Qn,p is a matrix of order(p+1)*(p+1) and it will be the key matrix in the Hill Cipher cryptographic algorithm.This research showed that any matrix of Fibonacci number generalization Qn,p with p and n are positive integers that be used as a key matrix in the Hill Cipher algorithm. The modification of the Hill Cipher cryptographic algorithm has done with modifying the keys by making the degree (p) and rank (n) of Qn,p as the keys that used in the encryption and decryption process of data (message).","PeriodicalId":281429,"journal":{"name":"EIGEN MATHEMATICS JOURNAL","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132629208","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}
N. Nurhabibah, A. G. Syarifudin, I. G. A. W. Wardhana, Q. Aini
The intersection graph of a finite group G is a graph (V,E) where V is a set of all non-trivial subgroups of G and E is a set of edges where two distinct subgroups H_i , H_j are said to be adjacent if and only if H_i cap H_j neq {e} . This study discusses the intersection graph of a dihedral group D_{2n} specifically the subgraph, degree of vertices, radius, diameter, girth, and domination number. From this study, we obtained that if n=p^2 then the intersection graph of D_{2n} is containing complete subgraph K_{p+2} and gamma(Gamma_{D_{2n}})=p.
有限群G的相交图是一个图(V,E)，其中V是G的所有非平凡子群的集合，E是两个不同子群H＿i, H＿j相邻的边的集合，当且仅当H＿i cap H＿j neq E{。本文讨论了二面体群}D＿2n{的交点图，特别是子图、顶点度、半径、直径、周长和支配数。通过研究，我们得到了当n=p^2时，}D＿2n{的相交图包含完全子图}K＿p+2{和}gamma (Gamma ＿D＿2n{)=p。{}}
{"title":"The Intersection Graph of a Dihedral Group","authors":"N. Nurhabibah, A. G. Syarifudin, I. G. A. W. Wardhana, Q. Aini","doi":"10.29303/emj.v4i2.119","DOIUrl":"https://doi.org/10.29303/emj.v4i2.119","url":null,"abstract":"The intersection graph of a finite group G is a graph (V,E) where V is a set of all non-trivial subgroups of G and E is a set of edges where two distinct subgroups H_i , H_j are said to be adjacent if and only if H_i cap H_j neq {e} . This study discusses the intersection graph of a dihedral group D_{2n} specifically the subgraph, degree of vertices, radius, diameter, girth, and domination number. From this study, we obtained that if n=p^2 then the intersection graph of D_{2n} is containing complete subgraph K_{p+2} and gamma(Gamma_{D_{2n}})=p. ","PeriodicalId":281429,"journal":{"name":"EIGEN MATHEMATICS JOURNAL","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121974993","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}
Humans are the true wealth of the nation. It is appropriate if humans become the main goal in development. Then the United Nations Development Program (UNDP) initiated the Human Development Index (HDI) as an indicator in measuring the progress of human development. Indonesia took part in applying the HDI calculation. Increasing the value of HDI from various provinces in Indonesia continues to be carried out, including in the Province of West Nusa Tenggara. Improving human development is based on an increase in all dimensions of the HDI itself. West Nusa Tenggara Province consists of 10 regencies/ cities. With different geographical, social, and economic backgrounds, the achievement of HDI in each region will vary. The purpose of this study was to determine the model of the HDI in West Nusa Tenggara Province in 2010-2017 using a fixed-effect model, which was used to see the influence of dimensions on the HDI and explain the differences in intercepts in each district/ city in West Nusa Tenggara Province. Based on the research conducted, a fixed effect panel data model on HDI was obtained for each district/ city in NTB in 2010-2017. From the HDI model obtained, it is known that the slope coefficient is constant, but the intercept varies throughout the district/ city. The slope coefficient value shows the magnitude of the influence of life expectancy, school duration, the average length of schooling, and expenditure per capita adjusted to the HDI of each district/ city.
{"title":"Panel Data Regression Analysis of Human Development Index in West Nusa Tenggara Province with Fixed Effect Model","authors":"Sapurah Sapurah, I. G. E. Gunartha, N. Fitriyani","doi":"10.29303/emj.v4i2.114","DOIUrl":"https://doi.org/10.29303/emj.v4i2.114","url":null,"abstract":"Humans are the true wealth of the nation. It is appropriate if humans become the main goal in development. Then the United Nations Development Program (UNDP) initiated the Human Development Index (HDI) as an indicator in measuring the progress of human development. Indonesia took part in applying the HDI calculation. Increasing the value of HDI from various provinces in Indonesia continues to be carried out, including in the Province of West Nusa Tenggara. Improving human development is based on an increase in all dimensions of the HDI itself. West Nusa Tenggara Province consists of 10 regencies/ cities. With different geographical, social, and economic backgrounds, the achievement of HDI in each region will vary. The purpose of this study was to determine the model of the HDI in West Nusa Tenggara Province in 2010-2017 using a fixed-effect model, which was used to see the influence of dimensions on the HDI and explain the differences in intercepts in each district/ city in West Nusa Tenggara Province. Based on the research conducted, a fixed effect panel data model on HDI was obtained for each district/ city in NTB in 2010-2017. From the HDI model obtained, it is known that the slope coefficient is constant, but the intercept varies throughout the district/ city. The slope coefficient value shows the magnitude of the influence of life expectancy, school duration, the average length of schooling, and expenditure per capita adjusted to the HDI of each district/ city.","PeriodicalId":281429,"journal":{"name":"EIGEN MATHEMATICS JOURNAL","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114629057","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}
Investment is one of the components that determines a country's economic growth. Sources of investment funds can be seen through two approaches, domestic investment and foreign investment. One of the promising components of foreign investment is Foreign Direct Investment (FDI). FDI is considered more valuable for the country because it is more long-term in nature. This study aims to see the effect of Gross Domestic Product (GDP) and export-import as foreign trade activities on FDI, through estimation with panel data regression model. The data used is data from 20 countries with observation period from 2009 to 2018. With the Random Effect Model as the best model, which the estimators also qualify the BLUE estimator. it can be concluded that partially the GDP variable has no significant effect. Meanwhile, exports have a significant positive effect and imports have a significant negative effect on FDI.
{"title":"Analysis of the Foreign Trade and Gross Domestic Product Effect on Foreign Direct Investment using Panel Data Regression Estimation","authors":"Winda Anggraini","doi":"10.29303/EMJ.V4I1.85","DOIUrl":"https://doi.org/10.29303/EMJ.V4I1.85","url":null,"abstract":"Investment is one of the components that determines a country's economic growth. Sources of investment funds can be seen through two approaches, domestic investment and foreign investment. One of the promising components of foreign investment is Foreign Direct Investment (FDI). FDI is considered more valuable for the country because it is more long-term in nature. This study aims to see the effect of Gross Domestic Product (GDP) and export-import as foreign trade activities on FDI, through estimation with panel data regression model. The data used is data from 20 countries with observation period from 2009 to 2018. With the Random Effect Model as the best model, which the estimators also qualify the BLUE estimator. it can be concluded that partially the GDP variable has no significant effect. Meanwhile, exports have a significant positive effect and imports have a significant negative effect on FDI.","PeriodicalId":281429,"journal":{"name":"EIGEN MATHEMATICS JOURNAL","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129947306","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}
Penelitian pada struktur aljabar yang direpresentasikan dalam teori graf membuka jalan munculnya penelitian baru pada beberapa tahun terakhir. Beberapa jenis graf baru terus dikembangkan seperti graf koprima dan non-koprima. Dalam artikel ini, grup quaternion akan direpresentasikan dalam beberapa graf seperti graf koprima, graf non-koprima, graf commuting , graf non-commuting dan graf identitas. Didapatkan beberapa teorema tentang graf khusus salah satunya adalah bentuk graf non-koprima dari grup quaternion adalah graf lengkap dan teratur.
{"title":"Beberapa Graf Khusus Dari Grup Quaternion","authors":"Abdul Gazir S, I. W. Wardhana","doi":"10.29303/EMJ.V1I1.74","DOIUrl":"https://doi.org/10.29303/EMJ.V1I1.74","url":null,"abstract":"Penelitian pada struktur aljabar yang direpresentasikan dalam teori graf membuka jalan munculnya penelitian baru pada beberapa tahun terakhir. Beberapa jenis graf baru terus dikembangkan seperti graf koprima dan non-koprima. Dalam artikel ini, grup quaternion akan direpresentasikan dalam beberapa graf seperti graf koprima, graf non-koprima, graf commuting , graf non-commuting dan graf identitas. Didapatkan beberapa teorema tentang graf khusus salah satunya adalah bentuk graf non-koprima dari grup quaternion adalah graf lengkap dan teratur.","PeriodicalId":281429,"journal":{"name":"EIGEN MATHEMATICS JOURNAL","volume":"9 10 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":"123779447","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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