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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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up vote 4 down vote accepted

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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That's a nice reference! – Igor Rivin Dec 31 '11 at 18:01
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 ( – Raymond Manzoni Dec 31 '11 at 18:20
Dear Raymond, Thank you very much for your most helpful answers. Wishes – Shahrooz Janbaz Dec 31 '11 at 23:47

Yes, the good sources are the articles by H. Stark and A. Terras on zeta functions of graphs.

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Thanks Dear Rivin. Your answer was very helpful. Sincerely – Shahrooz Janbaz Dec 31 '11 at 23:49

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