Spectral geometry of graphs グラフのスペクトル幾何学
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Author
Bibliographic Information
- Title
-
Spectral geometry of graphs
- Other Title
-
グラフのスペクトル幾何学
- Author
-
Polly Wee Sy
- Author(Another name)
-
ポリー ウイ シイ
- University
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名古屋大学
- Types of degree
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理学博士
- Grant ID
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乙第4239号
- Degree year
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1992-09-01
Note and Description
博士論文
Table of Contents
- CONTENTS / (0005.jp2)
- INTRODUCTION / p1 (0006.jp2)
- ChapterI: Some basic concepts in graph theory / p5 (0010.jp2)
- ChapterII: Perron-Frobenius type theorems and the rationality of zeta functions on finite graphs / p11 (0016.jp2)
- Section1: Geometry of finite oriented graphs / p11 (0016.jp2)
- Section2: Some operators on graphs / p14 (0019.jp2)
- Section3: Two Perron-Frobenius type theorems / p18 (0023.jp2)
- Section4: The rationality of zeta functions on finite oriented graphs / p21 (0026.jp2)
- Section5: The rationality of zeta functions on finite unoriented graphs / p23 (0028.jp2)
- ChapterIII: Harmonic analysis on a regular tree / p27 (0032.jp2)
- Section1: The spectrum of the adjacency operator on a regular graph / p27 (0032.jp2)
- Section2: Fourier transform on a regular tree / p30 (0035.jp2)
- Section3: A Paley-Wiener type theorem / p43 (0048.jp2)
- REFERENCES / p49 (0054.jp2)
- ATTACHMENTS: / p141 (0056.jp2)
- (1) "Discrete Schröbdinger operators on a graph" by P. W. Sy and T. Sunada, Nagoya Math. J., 125 (1992), 141-150. / p141 (0056.jp2)
- (2) "On the regular representation of a group appliedto the spectrum of a tower" by T. Adachi, T. Sunada and P.W. Sy. / p1 (0066.jp2)