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
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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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$\begingroup$ 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) $\endgroup$ Commented Dec 31, 2011 at 18:20
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$\begingroup$ Dear Raymond, Thank you very much for your most helpful answers. Wishes $\endgroup$– ShahroozCommented 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.
answered Dec 31, 2011 at 0:07
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$\begingroup$ Thanks Dear Rivin. Your answer was very helpful. Sincerely $\endgroup$– ShahroozCommented 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
