出版社：The Editorial Committee of the Interdisciplinary Information Sciences
摘要：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.
