JP Journal of Algebra, Number Theory and Applications
Volume 1, Issue 3, Pages 217 - 223
(December 2001)
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DECOMPOSITION
FORMULAS OF ZETA FUNCTIONS OF GRAPHS AND DIGRAPHS
Iwao Sato (Japan)
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Abstract: We give a decomposition
formula of the zeta function of a regular
covering of a graph G with respect to
equivalence classes of prime, reduced cycles
of G. Furthermore, we give a
decomposition formula of the zeta function of
a g-cyclic
G -cover of a
symmetric digraph D with respect to
equivalence classes of prime cycles of D,
for any finite group
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Keywords and phrases: graph
covering, digraph covering, zeta function. |
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