Pub Date : 1900-01-01DOI: 10.12988/imf.2022.912315
Alje Marie M. Urenda, Jacel Angeline V. Lingcong, Normina A. Batucan, Joel G. Adanza, Michael P. Baldado Jr.
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
设G是一个图。G的填充k-着色是一个函数f: V (G)→{1,2，…， k}使得任意两个颜色为I的顶点之间的距离至少为I + 1。G的填充色数，用χρ(G)表示，是存在填充k-着色f: V (G)→{1,2，…的最小整数k。k}。本文给出了几类图的连接的填充色数。此外，我们还刻画了图的填充色数等于其阶数。数学学科分类:055c15
{"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}
{"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}
{"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}
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.
{"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}
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.
复n × n矩阵T的数值范围W (T)是复平面C中W (T) = {(cid:104) T x, x (cid:105): x∈C n， (cid:107) x (cid:107) = 1}的子集，其中(cid:104) .，。(cid:105)表示C中的通常内积。本文给出了一系列的检验，使人们能够确定6 × 6矩阵T的数值范围何时为椭圆盘。
{"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}
In this paper, a generalization of Rodrigues’s Formula in Weyl space is expressed. Mathematics Subject Classification: 53B25
本文给出了Rodrigues公式在Weyl空间中的推广。数学学科分类:53B25
{"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}
Pub Date : 1900-01-01DOI: 10.12988/imf.2022.912318
Ming Xiong
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.
{"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}
In this paper, we have defined union, hyperasymptotic and hypernormal curves in Weyl space. Mathematics Subject Classification: 53B25
本文定义了Weyl空间中的并曲线、超渐近曲线和超正态曲线。数学学科分类:53B25
{"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}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：