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Spectral distributions of graphs with loops
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- Authors
- Advisor
- 이훈희
- Major
- 자연과학대학 수리과학부
- Issue Date
- 2016-02
- Publisher
- 서울대학교 대학원
- Keywords
- spectral distributions of graphs ; graphs with loops ; the path graph ; the complete graph ; the Chebyshev polynomial of second kind ; the H older's inequality for matrices
- Description
- 학위논문 (석사)-- 서울대학교 대학원 : 수리과학부, 2016. 2. 이훈희.
- 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.
- Language
- English
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