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Packing chromatic number of the join of some classes of graphs 几类图的连接的填充色数
International Mathematical Forum Pub Date : 1900-01-01 DOI: 10.12988/imf.2022.912315
Alje Marie M. Urenda, Jacel Angeline V. Lingcong, Normina A. Batucan, Joel G. Adanza, Michael P. Baldado Jr.
{"title":"Packing chromatic number of the join of some classes of graphs","authors":"Alje Marie M. Urenda, Jacel Angeline V. Lingcong, Normina A. Batucan, Joel G. Adanza, Michael P. Baldado Jr.","doi":"10.12988/imf.2022.912315","DOIUrl":"https://doi.org/10.12988/imf.2022.912315","url":null,"abstract":"Let G be a graph. A packing k-coloring of G is a function f : V (G)→ {1, 2, . . . , k} such that any two vertices of color i are at a distance at least i + 1. The packing chromatic number of G, denoted by χρ(G), is the smallest integer k for which there exists a packing k-coloring f : V (G)→ {1, 2, . . . , k}. In this paper, we gave the packing chromatic number of the join of some classes of graphs. Moreover, we characterized graphs with packing chromatic number equal to their order. Mathematics Subject Classification: 05C15","PeriodicalId":107214,"journal":{"name":"International Mathematical Forum","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130335306","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}
引用次数: 0
Laplace type problem with non uniform distribution 非均匀分布拉普拉斯型问题
International Mathematical Forum Pub Date : 1900-01-01 DOI: 10.12988/imf.2019.6799
G. Caristi, E. Saitta, M. Stoka
{"title":"Laplace type problem with non uniform distribution","authors":"G. Caristi, E. Saitta, M. Stoka","doi":"10.12988/imf.2019.6799","DOIUrl":"https://doi.org/10.12988/imf.2019.6799","url":null,"abstract":"","PeriodicalId":107214,"journal":{"name":"International Mathematical Forum","volume":"25 10","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131613330","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}
引用次数: 0
Composite numbers with large prime factors 具有大质因数的合数
International Mathematical Forum Pub Date : 1900-01-01 DOI: 10.12988/IMF.2019.911
R. Jakimczuk
{"title":"Composite numbers with large prime factors","authors":"R. Jakimczuk","doi":"10.12988/IMF.2019.911","DOIUrl":"https://doi.org/10.12988/IMF.2019.911","url":null,"abstract":"","PeriodicalId":107214,"journal":{"name":"International Mathematical Forum","volume":"46 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133347418","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}
引用次数: 0
Group action on quantum field theory 量子场论中的群作用
International Mathematical Forum Pub Date : 1900-01-01 DOI: 10.12988/imf.2019.9728
A. Alghamdi, Roa Makki
{"title":"Group action on quantum field theory","authors":"A. Alghamdi, Roa Makki","doi":"10.12988/imf.2019.9728","DOIUrl":"https://doi.org/10.12988/imf.2019.9728","url":null,"abstract":"The main aim of this paper is to develop some tools for understanding and explaining the concept of group action on a space and group action on algebra by using subgroups with finite index and both restriction and transfer maps. We extend this concept on quantum field theory.","PeriodicalId":107214,"journal":{"name":"International Mathematical Forum","volume":"2672 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134222617","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}
引用次数: 0
Elliptic numerical range of matrices 矩阵的椭圆数值范围
International Mathematical Forum Pub Date : 1900-01-01 DOI: 10.12988/imf.2020.91282
Wlat Hamad Jalal, Ahmed Muhammad
{"title":"Elliptic numerical range of matrices","authors":"Wlat Hamad Jalal, Ahmed Muhammad","doi":"10.12988/imf.2020.91282","DOIUrl":"https://doi.org/10.12988/imf.2020.91282","url":null,"abstract":"The numerical range W ( T ) of a complex n × n matrix T is the subset W ( T ) = {(cid:104) T x, x (cid:105) : x ∈ C n , and (cid:107) x (cid:107) = 1 } in the complex plane C , where (cid:104) ., . (cid:105) denotes the usual inner product in C . In this paper a series of tests given, allowing one to determine when the numerical range of a 6 × 6 matrix T is an elliptic disc.","PeriodicalId":107214,"journal":{"name":"International Mathematical Forum","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115541302","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}
引用次数: 0
Generalization of Rodrigues' formula in Weyl space 罗德里格斯公式在Weyl空间中的推广
International Mathematical Forum Pub Date : 1900-01-01 DOI: 10.12988/imf.2019.9421
N. Kofoğlu
{"title":"Generalization of Rodrigues' formula in Weyl space","authors":"N. Kofoğlu","doi":"10.12988/imf.2019.9421","DOIUrl":"https://doi.org/10.12988/imf.2019.9421","url":null,"abstract":"In this paper, a generalization of Rodrigues’s Formula in Weyl space is expressed. Mathematics Subject Classification: 53B25","PeriodicalId":107214,"journal":{"name":"International Mathematical Forum","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114186238","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}
引用次数: 0
A non-uniform bound on Poisson approximation in beta negative binomial distribution 负二项分布中泊松近似的非均匀界
International Mathematical Forum Pub Date : 1900-01-01 DOI: 10.12988/imf.2019.915
C. Sahatsathatsana
{"title":"A non-uniform bound on Poisson approximation in beta negative binomial distribution","authors":"C. Sahatsathatsana","doi":"10.12988/imf.2019.915","DOIUrl":"https://doi.org/10.12988/imf.2019.915","url":null,"abstract":"","PeriodicalId":107214,"journal":{"name":"International Mathematical Forum","volume":"82 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131685856","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}
引用次数: 1
Solving linear Diophantine equation and simultaneous linear Diophantine equations with minimum principles 用最小原理求解线性丢番图方程和联立线性丢番图方程
International Mathematical Forum Pub Date : 1900-01-01 DOI: 10.12988/imf.2022.912318
Ming Xiong
{"title":"Solving linear Diophantine equation and simultaneous linear Diophantine equations with minimum principles","authors":"Ming Xiong","doi":"10.12988/imf.2022.912318","DOIUrl":"https://doi.org/10.12988/imf.2022.912318","url":null,"abstract":"The all current methods of solving linear Diophantine equation and system of linear Diophantine equations have three shortcomings. Based on function thinking we put forward minimum principles to solve them, so that we can solve Generalized Chinese Remainder Problem easily. In order to discriminate accuracy of other methods, we propose basic solution system, the concept of transformation matrix and the concept of equivalence of basic solution systems for homogeneous linear indeterminate equations. This paper is also a classic example that mathematics problems for Post-graduate Students can be solved by only using middle school mathematics. We correct the misunderstanding for Cramer’s rule in mathematics circles too.","PeriodicalId":107214,"journal":{"name":"International Mathematical Forum","volume":"111 2","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120924186","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}
引用次数: 0
Characterization of automorphisms of Taft algebras Taft代数自同构的刻画
International Mathematical Forum Pub Date : 1900-01-01 DOI: 10.12988/imf.2021.912249
L. Sun, Yunze Song, Yuhan Zhao, Yue Sun, Quan-guo Chen
{"title":"Characterization of automorphisms of Taft algebras","authors":"L. Sun, Yunze Song, Yuhan Zhao, Yue Sun, Quan-guo Chen","doi":"10.12988/imf.2021.912249","DOIUrl":"https://doi.org/10.12988/imf.2021.912249","url":null,"abstract":"","PeriodicalId":107214,"journal":{"name":"International Mathematical Forum","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125301606","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}
引用次数: 0
Union, hyperasymptotic and hypernormal curves in Weyl space Weyl空间中的并并、超渐近和超正态曲线
International Mathematical Forum Pub Date : 1900-01-01 DOI: 10.12988/imf.2019.9522
N. Kofoğlu
{"title":"Union, hyperasymptotic and hypernormal curves in Weyl space","authors":"N. Kofoğlu","doi":"10.12988/imf.2019.9522","DOIUrl":"https://doi.org/10.12988/imf.2019.9522","url":null,"abstract":"In this paper, we have defined union, hyperasymptotic and hypernormal curves in Weyl space. Mathematics Subject Classification: 53B25","PeriodicalId":107214,"journal":{"name":"International Mathematical Forum","volume":"Suppl 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128447121","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}
引用次数: 0
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