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.
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