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Zeta functions of line, middle, total graphs of a graph and their coverings
2006
Linear Algebra and its Applications
We consider the (Ihara) zeta functions of line graphs, middle graphs and total graphs of a regular graph and their (regular or irregular) covering graphs. Let L(G), M(G) and T (G) denote the line, middle and total graph of G, respectively. We show that the line, middle and total graph of a (regular and irregular, respectively) covering of a graph G is a (regular and irregular, respectively) covering of L(G), M(G) and T (G), respectively. For a regular graph G, we express the zeta functions of
doi:10.1016/j.laa.2006.01.033
fatcat:slg6zgruwnfffndlyvwvy2k3wy