Zeta Functions for Images of Graph Coverings by Some Operations

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概要

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• We consider the zeta functions of the line graph and the middle graph of a regular covering of a graph G, and their related topics. Let M (G) be the middle graph of G and T (G) the total graph of G. We show that the middle graph and the total graph of a regular covering of a graph G with covering transformation group A is a regular covering of M (G) and T (G) with the same covering transformation group A, respectively. For a regular graph G, we express the zeta functions of the line graph and the middle graph of a regular covering of G by using the characteristic polynomial of that regular covering.

• 東北大学の論文

著者

• Sato Iwao

  Oyama National College Of Technology

• MIZUNO Hirobumi

  Department of Electronics and Computer Science, Meisei University

• Mizuno Hirobumi

  Department Of Electronics And Computer Science Meisei University

関連論文

• Note on star-operations and semistar-operations
• Zeta Functions for Images of Graph Coverings by Some Operations

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