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A new Bartholdi zeta function of a digraph II |
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| Authors: | Hirobumi Mizuno |
| Institution: | a Iond University, Tokyo, Japan b Oyama National College of Technology, Oyama, Tochigi 323-0806, Japan |
| Abstract: | We introduce a new type of the Bartholdi zeta function of a digraph D. Furthermore, we define a new type of the Bartholdi L-function of D, and give a determinant expression of it. We show that this L-function of D is equal to the L-function of D defined in H. Mizuno, I. Sato, A new Bartholdi zeta function of a digraph, Linear Algebra Appl. 423 (2007) 498-511]. As a corollary, we obtain a decomposition formula for a new type of the Bartholdi zeta function of a group covering of D by new Bartholdi L-functions of D. |
| Keywords: | Zeta function Digraph covering _method=retrieve& _eid=1-s2 0-S0012365X08005499& _mathId=si11 gif& _pii=S0012365X08005499& _issn=0012365X& _acct=C000051805& _version=1& _userid=1154080& md5=1a2eff65a5d037c168b58716f6317c9c')" style="cursor:pointer L-function" target="_blank">" alt="Click to view the MathML source" title="Click to view the MathML source">L-function |
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