For a graph $G=(V,E)$ of order $n$, a Roman ${2}$-dominating function $f:Vrightarrow{0,1,2}$ has the property that for every vertex $vin V$ with $f(v)=0$, either $v$ is adjacent to a vertex assigned $2$ under $f$, or $v$ is adjacent to least two vertices assigned $1$ under $f$. In this paper, we classify all graphs with Roman ${2}$-domination number belonging to the set ${2,3,4,n-2,n-1,n}$. Furthermore, we obtain some results about Roman ${2}$-domination number of some graph operations.
{"title":"Roman {2}-domination in Graphs and Graph Products","authors":"Faezeh Alizade, Hamid Reza Maimani, Leila Parsaei Majd, Mina Rajabi Parsa","doi":"10.61186/ijmsi.18.2.117","DOIUrl":"https://doi.org/10.61186/ijmsi.18.2.117","url":null,"abstract":"For a graph $G=(V,E)$ of order $n$, a Roman ${2}$-dominating function $f:Vrightarrow{0,1,2}$ has the property that for every vertex $vin V$ with $f(v)=0$, either $v$ is adjacent to a vertex assigned $2$ under $f$, or $v$ is adjacent to least two vertices assigned $1$ under $f$. In this paper, we classify all graphs with Roman ${2}$-domination number belonging to the set ${2,3,4,n-2,n-1,n}$. Furthermore, we obtain some results about Roman ${2}$-domination number of some graph operations.","PeriodicalId":43670,"journal":{"name":"Iranian Journal of Mathematical Sciences and Informatics","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135996627","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}
R. Sundara Rajan, T. M. Rajalaxmi, Sudeep Stephen, A. Arul Shantrinal, K. Jagadeesh Kumar
{"title":"Embedding Wheel - like Networks","authors":"R. Sundara Rajan, T. M. Rajalaxmi, Sudeep Stephen, A. Arul Shantrinal, K. Jagadeesh Kumar","doi":"10.61186/ijmsi.18.2.185","DOIUrl":"https://doi.org/10.61186/ijmsi.18.2.185","url":null,"abstract":"","PeriodicalId":43670,"journal":{"name":"Iranian Journal of Mathematical Sciences and Informatics","volume":"47 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136153988","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}
Let R be a commutative ring with identity and M be an R-module. In this paper, we will introduce the concept of 2-irreducible (resp., strongly 2- irreducible) submodules of M as a generalization of irreducible (resp., strongly irreducible) submodules of M and investigated some properties of these classes of modules.
{"title":"2-Irreducible and Strongly 2-Irreducible Submodules of a Module","authors":"Faranak Farshadifar, Habibollah Ansari-Toroghy","doi":"10.61186/ijmsi.18.2.139","DOIUrl":"https://doi.org/10.61186/ijmsi.18.2.139","url":null,"abstract":"Let R be a commutative ring with identity and M be an R-module. In this paper, we will introduce the concept of 2-irreducible (resp., strongly 2- irreducible) submodules of M as a generalization of irreducible (resp., strongly irreducible) submodules of M and investigated some properties of these classes of modules.","PeriodicalId":43670,"journal":{"name":"Iranian Journal of Mathematical Sciences and Informatics","volume":"97 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136119725","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":"Some Classes of Weakly Prime Center Rings","authors":"Hamid Reza Dorbidi","doi":"10.61186/ijmsi.18.2.25","DOIUrl":"https://doi.org/10.61186/ijmsi.18.2.25","url":null,"abstract":"","PeriodicalId":43670,"journal":{"name":"Iranian Journal of Mathematical Sciences and Informatics","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136198373","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":"Difference Labeling and Decomposition","authors":"H. Shanmuga Priya, A. Anitha, I. Sahul Hamid","doi":"10.61186/ijmsi.18.2.153","DOIUrl":"https://doi.org/10.61186/ijmsi.18.2.153","url":null,"abstract":"","PeriodicalId":43670,"journal":{"name":"Iranian Journal of Mathematical Sciences and Informatics","volume":"132 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136127827","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}
Fatemeh Saadat, Houshang Alizadeh, Seyed Hadi Razavi
{"title":"A Bioinformatics Analysis of Plant Caleosins","authors":"Fatemeh Saadat, Houshang Alizadeh, Seyed Hadi Razavi","doi":"10.61186/ijmsi.18.2.95","DOIUrl":"https://doi.org/10.61186/ijmsi.18.2.95","url":null,"abstract":"","PeriodicalId":43670,"journal":{"name":"Iranian Journal of Mathematical Sciences and Informatics","volume":"49 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136127983","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":"New Subclass of Close-to-convex Functions Associated with the Vertical Strip Domains","authors":"Hesam Mahzoon, Janusz Sokól","doi":"10.61186/ijmsi.18.2.199","DOIUrl":"https://doi.org/10.61186/ijmsi.18.2.199","url":null,"abstract":"","PeriodicalId":43670,"journal":{"name":"Iranian Journal of Mathematical Sciences and Informatics","volume":"68 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136152812","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 Hybrid Ideals and Hybrid Bi-ideals in Semigroups","authors":"Balasubramanian Elavarasan, Young Bae Jun","doi":"10.61186/ijmsi.18.2.1","DOIUrl":"https://doi.org/10.61186/ijmsi.18.2.1","url":null,"abstract":"","PeriodicalId":43670,"journal":{"name":"Iranian Journal of Mathematical Sciences and Informatics","volume":"263 35 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136152485","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":"Cordial Labeling of Corona Product between Paths and Fourth Power of Paths","authors":"S. Nada, A. Elrokh, A. Elrayes, A. Rabie","doi":"10.61186/ijmsi.18.2.107","DOIUrl":"https://doi.org/10.61186/ijmsi.18.2.107","url":null,"abstract":"","PeriodicalId":43670,"journal":{"name":"Iranian Journal of Mathematical Sciences and Informatics","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136152783","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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