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":"99 13","pages":""},"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.
期刊介绍：
"Propulsion Technology" is supervised by China Aerospace Science and Industry Corporation and sponsored by the 31st Institute of China Aerospace Science and Industry Corporation. It is an important journal of Chinese degree and graduate education determined by the Academic Degree Committee of the State Council and the State Education Commission. It was founded in 1980 and is a monthly publication, which is publicly distributed at home and abroad.
Purpose of the publication: Adhere to the principles of quality, specialization, standardized editing, and scientific management, publish academic papers on theoretical research, design, and testing of various aircraft, UAVs, missiles, launch vehicles, spacecraft, and ship propulsion systems, and promote the development and progress of turbines, ramjets, rockets, detonation, lasers, nuclear energy, electric propulsion, joint propulsion, new concepts, and new propulsion technologies.
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