{"title":"完备图与完全差分网络的格表示","authors":"T. A. Shiekh, Jitendra Seethalani","doi":"10.1109/ICCSDET.2018.8821111","DOIUrl":null,"url":null,"abstract":"In this paper we have evaluated the links of Complete Graph and Perfect Difference Network (PDN) of (δ2 + δ+1) nodes in order to derive a relation which gives us the total number of disjoint lattices formed in a Complete Graph and Perfect Difference Network (PDN) of (δ2 + δ +1) nodes. In this paper we have also seen that the smallest lattice formed in a Complete Graph and PDN of (δ2+δ+1) includes only three nodes and the biggest lattice formed in a Complete Graph and PDN includes all the nodes of the Complete Graph and PDN i.e. (δ2 + δ+1) nodes. In this paper we have also seen the effect of removal of diagonal links in the Perfect Difference Network in lattice formation.","PeriodicalId":157362,"journal":{"name":"2018 International Conference on Circuits and Systems in Digital Enterprise Technology (ICCSDET)","volume":"40 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Lattice representation of Complete Graph and Perfect Difference Network (PDN)\",\"authors\":\"T. A. Shiekh, Jitendra Seethalani\",\"doi\":\"10.1109/ICCSDET.2018.8821111\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we have evaluated the links of Complete Graph and Perfect Difference Network (PDN) of (δ2 + δ+1) nodes in order to derive a relation which gives us the total number of disjoint lattices formed in a Complete Graph and Perfect Difference Network (PDN) of (δ2 + δ +1) nodes. In this paper we have also seen that the smallest lattice formed in a Complete Graph and PDN of (δ2+δ+1) includes only three nodes and the biggest lattice formed in a Complete Graph and PDN includes all the nodes of the Complete Graph and PDN i.e. (δ2 + δ+1) nodes. In this paper we have also seen the effect of removal of diagonal links in the Perfect Difference Network in lattice formation.\",\"PeriodicalId\":157362,\"journal\":{\"name\":\"2018 International Conference on Circuits and Systems in Digital Enterprise Technology (ICCSDET)\",\"volume\":\"40 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2018 International Conference on Circuits and Systems in Digital Enterprise Technology (ICCSDET)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICCSDET.2018.8821111\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2018 International Conference on Circuits and Systems in Digital Enterprise Technology (ICCSDET)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICCSDET.2018.8821111","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Lattice representation of Complete Graph and Perfect Difference Network (PDN)
In this paper we have evaluated the links of Complete Graph and Perfect Difference Network (PDN) of (δ2 + δ+1) nodes in order to derive a relation which gives us the total number of disjoint lattices formed in a Complete Graph and Perfect Difference Network (PDN) of (δ2 + δ +1) nodes. In this paper we have also seen that the smallest lattice formed in a Complete Graph and PDN of (δ2+δ+1) includes only three nodes and the biggest lattice formed in a Complete Graph and PDN includes all the nodes of the Complete Graph and PDN i.e. (δ2 + δ+1) nodes. In this paper we have also seen the effect of removal of diagonal links in the Perfect Difference Network in lattice formation.