The total domination integrity of a simple connected graph G with no isolated vertices is denoted by TDI(G) and defined as TDI(G)=min { left | S right |+m(G-S) : S subseteq V(G) }, where S is a total dominating set of G and m(G - S) is the order of a maximum connected component of G - S. It is a new measure of vulnerability of a graph. This work is aimed to discuss total domination integrity of wheel, gear, helm, closed helm, flower graph, web graph, sunflower graph and web graph without center.
无孤立顶点的简单连通图G的总控制完整性用TDI(G)表示，定义为TDI(G)=min{左| S右|+m(G-S): S subseteq V(G)}，其中S为G的总控制集，m(G-S)为G-S的最大连通分量的阶数，是一种新的图的脆弱性度量。本研究旨在探讨轮、齿轮、舵、闭舵、花图、网图、向日葵图和无中心网图的总体控制完整性。
{"title":"TOTAL DOMINATION INTEGRITY OF WHEEL RELATED GRAPHS","authors":"N. H. Shah, P. L. Vihol","doi":"10.17654/0974165823009","DOIUrl":"https://doi.org/10.17654/0974165823009","url":null,"abstract":"The total domination integrity of a simple connected graph G with no isolated vertices is denoted by TDI(G) and defined as TDI(G)=min { left | S right |+m(G-S) : S subseteq V(G) }, where S is a total dominating set of G and m(G - S) is the order of a maximum connected component of G - S. It is a new measure of vulnerability of a graph. This work is aimed to discuss total domination integrity of wheel, gear, helm, closed helm, flower graph, web graph, sunflower graph and web graph without center.","PeriodicalId":40868,"journal":{"name":"Advances and Applications in Discrete Mathematics","volume":" ","pages":""},"PeriodicalIF":0.1,"publicationDate":"2023-01-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48067781","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}
Rosalio G. Artes, Al-Jayson U. Abubakar, Sisteta U. Kamdon
{"title":"POLYNOMIAL REPRESENTATIONS OF THE BICLIQUE NEIGHBORHOOD OF GRAPHS","authors":"Rosalio G. Artes, Al-Jayson U. Abubakar, Sisteta U. Kamdon","doi":"10.17654/0974165823010","DOIUrl":"https://doi.org/10.17654/0974165823010","url":null,"abstract":"","PeriodicalId":40868,"journal":{"name":"Advances and Applications in Discrete Mathematics","volume":" ","pages":""},"PeriodicalIF":0.1,"publicationDate":"2023-01-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46579738","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":"ANALYSIS OF BENEFITS OF INTEGRATING THE OPPOSITION BASED LEARNING TECHNIQUE INTO NON-DOMINATED SORTING GENETIC ALGORITHM III","authors":"Shilpi Jain, Kamlesh Kumar Dubey","doi":"10.17654/0974165823007","DOIUrl":"https://doi.org/10.17654/0974165823007","url":null,"abstract":"","PeriodicalId":40868,"journal":{"name":"Advances and Applications in Discrete Mathematics","volume":" ","pages":""},"PeriodicalIF":0.1,"publicationDate":"2023-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46502469","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":"EXPERIMENTATION OF A FAMILY OF ITERATIVE FINITE VOLUME METHODS WITH MOVING GRID TO SOLVE A RICHARD’S PROBLEM","authors":"K. Lamien","doi":"10.17654/0974165823008","DOIUrl":"https://doi.org/10.17654/0974165823008","url":null,"abstract":"","PeriodicalId":40868,"journal":{"name":"Advances and Applications in Discrete Mathematics","volume":" ","pages":""},"PeriodicalIF":0.1,"publicationDate":"2023-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43507182","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":"COVERING GRAPHS WITH OPTIMAL COLLECTION OF EDGES","authors":"Rosalio G. Artes, Jr.","doi":"10.17654/0974165823006","DOIUrl":"https://doi.org/10.17654/0974165823006","url":null,"abstract":"","PeriodicalId":40868,"journal":{"name":"Advances and Applications in Discrete Mathematics","volume":" ","pages":""},"PeriodicalIF":0.1,"publicationDate":"2023-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41914098","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":"APPLICATION OF THE CONTINUOUS (NON-DISCRETE) LAPLACE TRANSFORM FOR SOLVING A MATHEMATICAL MODEL IN SOLAR ENERGY","authors":"H. K. Al-Jeaid","doi":"10.17654/0974165823005","DOIUrl":"https://doi.org/10.17654/0974165823005","url":null,"abstract":"","PeriodicalId":40868,"journal":{"name":"Advances and Applications in Discrete Mathematics","volume":" ","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47067323","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":"SOLUTION OF A DIFFERENTIAL-DIFFERENCE EQUATION VIA AN ANSATZ METHOD","authors":"W. Alharbi","doi":"10.17654/0974165823004","DOIUrl":"https://doi.org/10.17654/0974165823004","url":null,"abstract":"","PeriodicalId":40868,"journal":{"name":"Advances and Applications in Discrete Mathematics","volume":" ","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49290910","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":"A STUDY ON EQUITABLE CHROMATIC AND THRESHOLD OF MYCIELSKIAN OF GRAPHS","authors":"Loura Jency, Benedict Michael Raj","doi":"10.17654/0974165823003","DOIUrl":"https://doi.org/10.17654/0974165823003","url":null,"abstract":"","PeriodicalId":40868,"journal":{"name":"Advances and Applications in Discrete Mathematics","volume":" ","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42969681","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}
Wilma S. Ismael, Hounam B. Copel, Sisteta U. Kamdon
{"title":"CHROMATIC POLYNOMIALS OF n-CENTIPEDE AND TRIANGULAR SNAKE TSn GRAPHS","authors":"Wilma S. Ismael, Hounam B. Copel, Sisteta U. Kamdon","doi":"10.17654/0974165823001","DOIUrl":"https://doi.org/10.17654/0974165823001","url":null,"abstract":"","PeriodicalId":40868,"journal":{"name":"Advances and Applications in Discrete Mathematics","volume":" ","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-11-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48426983","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":"CLIQUE COMMON NEIGHBORHOOD POLYNOMIAL OF GRAPHS","authors":"Rosalio G. Artes","doi":"10.17654/0974165822053","DOIUrl":"https://doi.org/10.17654/0974165822053","url":null,"abstract":"","PeriodicalId":40868,"journal":{"name":"Advances and Applications in Discrete Mathematics","volume":" ","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-11-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44098858","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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