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Bartholdi zeta functions of some graphs
Authors:Hirobumi Mizuno
Affiliation:a Iond University, Tokyo, Japan
b Oyama National College of Technology, Oyama, Tochigi 323-0806, Japan
Abstract:We give a decomposition formula for the Bartholdi zeta function of a graph G which is partitioned into some irregular coverings. As a corollary, we obtain a decomposition formula for the Bartholdi zeta function of G which is partitioned into some regular coverings.
Keywords:Zeta function   Graph covering     mmlsi1"   onclick="  submitCitation('/science?_ob=MathURL&  _method=retrieve&  _eid=1-s2.0-S0012365X05005984&  _mathId=si1.gif&  _pii=S0012365X05005984&  _issn=0012365X&  _acct=C000051805&  _version=1&  _userid=1154080&  md5=fb432a8bfcde5e3245a0a8be2428e18e')"   style="  cursor:pointer  "   alt="  Click to view the MathML source"   title="  Click to view the MathML source"  >  formulatext"   title="  click to view the MathML source"  >L-function
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