{"title":"带状图中的偏心支配多项式及其能量","authors":"Tejaskumar R., A. Ismayil","doi":"10.9734/arjom/2024/v20i2783","DOIUrl":null,"url":null,"abstract":"Kathiresan In this article, bandwagon eccentric domination polynomial BED (G , x) is introduced. Theorems related to the characteristics of coefficients of BED (Sn ,x) of a star graph is discussed and the coefficients of BED (Sn ,x) are tabulated. Minimum bandwagon eccentric dominating energy IEbed (G) is also defined. IEbed (G) of families of graphs are computed and the properties of minimum bandwagon eccentric dominating eigenvalues are obtained. Results related to upper and lower bounds for IEbed (G) of cocktail party, complete, crown and star graphs are discussed.\n ","PeriodicalId":505328,"journal":{"name":"Asian Research Journal of Mathematics","volume":"117 45","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Bandwagon Eccentric Domination Polynomial and its Energy in Graphs\",\"authors\":\"Tejaskumar R., A. Ismayil\",\"doi\":\"10.9734/arjom/2024/v20i2783\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Kathiresan In this article, bandwagon eccentric domination polynomial BED (G , x) is introduced. Theorems related to the characteristics of coefficients of BED (Sn ,x) of a star graph is discussed and the coefficients of BED (Sn ,x) are tabulated. Minimum bandwagon eccentric dominating energy IEbed (G) is also defined. IEbed (G) of families of graphs are computed and the properties of minimum bandwagon eccentric dominating eigenvalues are obtained. Results related to upper and lower bounds for IEbed (G) of cocktail party, complete, crown and star graphs are discussed.\\n \",\"PeriodicalId\":505328,\"journal\":{\"name\":\"Asian Research Journal of Mathematics\",\"volume\":\"117 45\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-03-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Asian Research Journal of Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.9734/arjom/2024/v20i2783\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Asian Research Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.9734/arjom/2024/v20i2783","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
Kathiresan 本文介绍了带状偏心支配多项式 BED (G , x)。文章讨论了与星形图 BED (Sn ,x) 的系数特征有关的定理，并将 BED (Sn ,x) 的系数列成表格。还定义了最小带状偏心支配能 IEbed (G)。计算了图形族的 IEbed (G)，并获得了最小带状偏心支配特征值的性质。讨论了鸡尾酒会图、完整图、皇冠图和星形图的 IEbed (G) 的上下限相关结果。
Bandwagon Eccentric Domination Polynomial and its Energy in Graphs
Kathiresan In this article, bandwagon eccentric domination polynomial BED (G , x) is introduced. Theorems related to the characteristics of coefficients of BED (Sn ,x) of a star graph is discussed and the coefficients of BED (Sn ,x) are tabulated. Minimum bandwagon eccentric dominating energy IEbed (G) is also defined. IEbed (G) of families of graphs are computed and the properties of minimum bandwagon eccentric dominating eigenvalues are obtained. Results related to upper and lower bounds for IEbed (G) of cocktail party, complete, crown and star graphs are discussed.
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