{"title":"On Completion Problems for Various Subclasses of Matrices","authors":"V. Tomno","doi":"10.22457/apam.v18n2a11","DOIUrl":"https://doi.org/10.22457/apam.v18n2a11","url":null,"abstract":"","PeriodicalId":305863,"journal":{"name":"Annals of Pure and Applied Mathematics","volume":"153 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121043296","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":"On Solutions to the Diophantine Equation M^x+ (M + 6)^y = z^2when M = 6N + 5","authors":"N. Burshtein","doi":"10.22457/apam.v18n2a9","DOIUrl":"https://doi.org/10.22457/apam.v18n2a9","url":null,"abstract":"","PeriodicalId":305863,"journal":{"name":"Annals of Pure and Applied Mathematics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130394252","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":"On the Non-Linear Diophantine Equations 31x + 41y = z2 and 61x + 71y = z2","authors":"Satish Kumar, Deepak Gupta, H. Kishan","doi":"10.22457/apam.v18n2a7","DOIUrl":"https://doi.org/10.22457/apam.v18n2a7","url":null,"abstract":"","PeriodicalId":305863,"journal":{"name":"Annals of Pure and Applied Mathematics","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117236160","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":"The Diophantine Equation x^4 + y^2 = z^4 is Insolvable in Positive Integers when at Least One of x,y is Prime","authors":"N. Burshtein","doi":"10.22457/apam.v18n2a6","DOIUrl":"https://doi.org/10.22457/apam.v18n2a6","url":null,"abstract":"","PeriodicalId":305863,"journal":{"name":"Annals of Pure and Applied Mathematics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121066119","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":"Product Connectivity Leap Index and ABC Leap Index of Helm Graphs","authors":"V. Kulli","doi":"10.22457/apam.v18n2a8","DOIUrl":"https://doi.org/10.22457/apam.v18n2a8","url":null,"abstract":"Recently, some leap Zagreb indices of a graph based on the second degrees of vertices were introduced. In this paper, we propose the product connectivity leap index and ABC leap index of a graph. We compute the sum connecti vity leap index, product connectivity leap index, ABC leap index and geometr ic-a ithmetic leap index of helm graphs.","PeriodicalId":305863,"journal":{"name":"Annals of Pure and Applied Mathematics","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122631756","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":"Dakshayani Indices","authors":"V. Kulli","doi":"10.22457/apam.v18n2a3","DOIUrl":"https://doi.org/10.22457/apam.v18n2a3","url":null,"abstract":"","PeriodicalId":305863,"journal":{"name":"Annals of Pure and Applied Mathematics","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129661822","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":"On the Duhamel’s Solutions to the Null Equations of Incompressible Fluids","authors":"J. Rivera","doi":"10.22457/apam.v18n2a4","DOIUrl":"https://doi.org/10.22457/apam.v18n2a4","url":null,"abstract":"","PeriodicalId":305863,"journal":{"name":"Annals of Pure and Applied Mathematics","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128346237","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":"On Solutions to the Diophantine Equation x^4 – y^2 = z^2","authors":"N. Burshtein","doi":"10.22457/apam.v18n1a11","DOIUrl":"https://doi.org/10.22457/apam.v18n1a11","url":null,"abstract":"","PeriodicalId":305863,"journal":{"name":"Annals of Pure and Applied Mathematics","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130646618","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":"Perfect Domination for Bishops, Kings and Rooks Graphs On Square Chessboard","authors":"K. Sowndarya, Y. Naidu","doi":"10.22457/apam.v18n1a8","DOIUrl":"https://doi.org/10.22457/apam.v18n1a8","url":null,"abstract":"","PeriodicalId":305863,"journal":{"name":"Annals of Pure and Applied Mathematics","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130184372","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":"Heterogeneous Server Markovian Queue with Partial Breakdown","authors":"R. Kalyanaraman, R. Senthilkumar","doi":"10.22457/apam.v18n1a9","DOIUrl":"https://doi.org/10.22457/apam.v18n1a9","url":null,"abstract":"","PeriodicalId":305863,"journal":{"name":"Annals of Pure and Applied Mathematics","volume":"90 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122091004","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}