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Do we have any good sources(lecture notes or books) for learning about $Ihara$ Coefficient?

Is there any relation between $Ihara$ Coefficient and the eigenvalues of graphs?

Thanks for any help.

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3 Answers 3

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Following Igor Rivin's suggestion I found the thesis of Matthew Horton (student of Stark and Terras) pretty interesting : 'Ihara zeta functions of irregular graphs'.

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  • $\begingroup$ That's a nice reference! $\endgroup$
    – Igor Rivin
    Dec 31, 2011 at 18:01
  • $\begingroup$ Thanks Igor!<br> Another nice reference I just found again is Audrey Terras' recent book "A stroll through the garden of graph zeta function" with an earlier draft available from wikipedia (en.wikipedia.org/wiki/Audrey_Terras) $\endgroup$ Dec 31, 2011 at 18:20
  • $\begingroup$ Dear Raymond, Thank you very much for your most helpful answers. Wishes $\endgroup$
    – Shahrooz
    Dec 31, 2011 at 23:47
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Yes, the good sources are the articles by H. Stark and A. Terras on zeta functions of graphs.

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  • $\begingroup$ Thanks Dear Rivin. Your answer was very helpful. Sincerely $\endgroup$
    – Shahrooz
    Dec 31, 2011 at 23:49
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I can recommend this paper: The coefficients of the Ihara zeta function by Geoffrey Scott and Christopher Storm

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