B. Prashanth, Madusudan. K. V, Abhishek M, Mahesha
{"title":"A note on Laplacian coefficients of the characteristic polynomial of a complete graph","authors":"B. Prashanth, Madusudan. K. V, Abhishek M, Mahesha","doi":"10.52783/tjjpt.v44.i5.2763","DOIUrl":null,"url":null,"abstract":"We have discovered the distinctive polynomial of the complete graph’s Laplacian matrix with this article in mind. The trace of the Laplacian matrix and the total number of vertices in the complete graph were used to determine the coefficients of the characteristic polynomial. Additionally, we have demonstrated that Laplacian eigenvalues can be used to get coefficients for identical characteristic polynomials. Can be used to get coefficients for identical characteristic polynomials. \n ","PeriodicalId":39883,"journal":{"name":"推进技术","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2023-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"推进技术","FirstCategoryId":"1087","ListUrlMain":"https://doi.org/10.52783/tjjpt.v44.i5.2763","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Engineering","Score":null,"Total":0}
引用次数: 0
Abstract
We have discovered the distinctive polynomial of the complete graph’s Laplacian matrix with this article in mind. The trace of the Laplacian matrix and the total number of vertices in the complete graph were used to determine the coefficients of the characteristic polynomial. Additionally, we have demonstrated that Laplacian eigenvalues can be used to get coefficients for identical characteristic polynomials. Can be used to get coefficients for identical characteristic polynomials.
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