Zeta Functions of Finite Graphs

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概要

• 論文の詳細を見る

• Poles of the {\it Ihara zeta function} associated with a finite graph are described by graph-theoretic quantities. Elementary proofs based on the notions of {\it oriented line graphs}, {\it Perron-Frobenius operators}, and {\it discrete Laplacians} are provided for Bass's theorem on the determinant expression of the zeta function and Hashimoto's theorems on the pole at $u=1$.

• 東京大学の論文

著者

• Kotani Motoko

  Mathematical Institute Graduate School Of Sciences Tohoku University

• Sunada Toshikazu

  Mathematical Institute, Graduate School of Sciences, Tohoku University

• Sunada Toshikazu

  Mathematical Institute Graduate School Of Sciences Tohoku University

• Kotani Motoko

  Mathematical Institute Graduate School Of Science Tohoku University

関連論文

• Zeta Functions of Finite Graphs
• Euclidean versus Non-Euclidean Aspects in Spectral Geometry
• New Growth Mechanism of Cubic Rh Clusters Composed of 8-12 Atoms Found by the Method of Euclidean Designs

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