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Spectral distributions of graphs with loops
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.advisor | 이훈희 | - |
| dc.contributor.author | 박소현 | - |
| dc.date.accessioned | 2017-07-19T09:01:14Z | - |
| dc.date.available | 2017-07-19T09:01:14Z | - |
| dc.date.issued | 2016-02 | - |
| dc.identifier.other | 000000133631 | - |
| dc.identifier.uri | https://hdl.handle.net/10371/131506 | - |
| dc.description | 학위논문 (석사)-- 서울대학교 대학원 : 수리과학부, 2016. 2. 이훈희. | - |
| dc.description.abstract | In this paper we introduce asymptotic spectral distributions of graphs with
loops. We shall determine the asymptotic spectral distributions of path graphs and complete graphs with a loop using by investigating eigenvalue structure. We extend this to more general case. We obtain asymptotic spectral distributions of graphs with loops using the Holder inequality for matrices and ascertain the dierence in asymptotic spectral distributions between graphs with loops and simple graphs. | - |
| dc.description.tableofcontents | 1 Introduction 1
2 Preliminaries 3 3 Main result 1 : direct computation 7 4 Main result 2 : general case 10 References 13 국문초록 14 | - |
| dc.format | application/pdf | - |
| dc.format.extent | 2634557 bytes | - |
| dc.format.medium | application/pdf | - |
| dc.language.iso | en | - |
| dc.publisher | 서울대학교 대학원 | - |
| dc.subject | spectral distributions of graphs | - |
| dc.subject | graphs with loops | - |
| dc.subject | the path graph | - |
| dc.subject | the complete graph | - |
| dc.subject | the Chebyshev polynomial of second kind | - |
| dc.subject | the H older's inequality for matrices | - |
| dc.subject.ddc | 510 | - |
| dc.title | Spectral distributions of graphs with loops | - |
| dc.type | Thesis | - |
| dc.description.degree | Master | - |
| dc.citation.pages | 15 | - |
| dc.contributor.affiliation | 자연과학대학 수리과학부 | - |
| dc.date.awarded | 2016-02 | - |
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