{"title":"若干可交换环图上的迂回卵石数","authors":"A. Lourdusamy, S. K. Iammal, I. Dhivviyanandam","doi":"10.26713/cma.v14i1.2018","DOIUrl":null,"url":null,"abstract":". The detour pebbling number of a graph G is the least positive integer f ∗ ( G ) such that these pebbles are placed on the vertices of G , we can move a pebble to a target vertex by a sequence of pebbling moves each move taking two pebbles off a vertex and placing one of the pebbles on an adjacent vertex using detour path. In this paper, we compute the detour pebbling number for the commutative ring of zero-divisor graphs, sum and the product of zero divisor graphs.","PeriodicalId":43490,"journal":{"name":"Communications in Mathematics and Applications","volume":"120 1","pages":""},"PeriodicalIF":0.2000,"publicationDate":"2023-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Detour Pebbling Number on Some Commutative Ring Graphs\",\"authors\":\"A. Lourdusamy, S. K. Iammal, I. Dhivviyanandam\",\"doi\":\"10.26713/cma.v14i1.2018\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". The detour pebbling number of a graph G is the least positive integer f ∗ ( G ) such that these pebbles are placed on the vertices of G , we can move a pebble to a target vertex by a sequence of pebbling moves each move taking two pebbles off a vertex and placing one of the pebbles on an adjacent vertex using detour path. In this paper, we compute the detour pebbling number for the commutative ring of zero-divisor graphs, sum and the product of zero divisor graphs.\",\"PeriodicalId\":43490,\"journal\":{\"name\":\"Communications in Mathematics and Applications\",\"volume\":\"120 1\",\"pages\":\"\"},\"PeriodicalIF\":0.2000,\"publicationDate\":\"2023-05-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Communications in Mathematics and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.26713/cma.v14i1.2018\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Mathematics and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.26713/cma.v14i1.2018","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
Detour Pebbling Number on Some Commutative Ring Graphs
. The detour pebbling number of a graph G is the least positive integer f ∗ ( G ) such that these pebbles are placed on the vertices of G , we can move a pebble to a target vertex by a sequence of pebbling moves each move taking two pebbles off a vertex and placing one of the pebbles on an adjacent vertex using detour path. In this paper, we compute the detour pebbling number for the commutative ring of zero-divisor graphs, sum and the product of zero divisor graphs.
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