{"title":"关于一类新图的谱","authors":"Renny P. Varghese","doi":"10.17932/ejeas.2021.024/ejeas_v01i2005","DOIUrl":null,"url":null,"abstract":"The pineapple graph KKnn is a graph of the form KKnn (complete graph of order nn) with ′tt′ pendant edge attached to any one vertex of KKnn. In this paper, we determined the adjacency Laplacian and signless Laplacian spectrum of pineapple graphs. Here we investigate some graph invariants like the number of spanning trees, Kirchhoff index and Laplacian-energy-like invariants of these graphs.","PeriodicalId":188019,"journal":{"name":"EURAS Journal of Engineering and Applied Sciences","volume":"34 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On The Spectrum of a New Class of Graphs\",\"authors\":\"Renny P. Varghese\",\"doi\":\"10.17932/ejeas.2021.024/ejeas_v01i2005\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The pineapple graph KKnn is a graph of the form KKnn (complete graph of order nn) with ′tt′ pendant edge attached to any one vertex of KKnn. In this paper, we determined the adjacency Laplacian and signless Laplacian spectrum of pineapple graphs. Here we investigate some graph invariants like the number of spanning trees, Kirchhoff index and Laplacian-energy-like invariants of these graphs.\",\"PeriodicalId\":188019,\"journal\":{\"name\":\"EURAS Journal of Engineering and Applied Sciences\",\"volume\":\"34 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"EURAS Journal of Engineering and Applied Sciences\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.17932/ejeas.2021.024/ejeas_v01i2005\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"EURAS Journal of Engineering and Applied Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.17932/ejeas.2021.024/ejeas_v01i2005","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The pineapple graph KKnn is a graph of the form KKnn (complete graph of order nn) with ′tt′ pendant edge attached to any one vertex of KKnn. In this paper, we determined the adjacency Laplacian and signless Laplacian spectrum of pineapple graphs. Here we investigate some graph invariants like the number of spanning trees, Kirchhoff index and Laplacian-energy-like invariants of these graphs.