{"product_id":"zeta-functions-of-graphs-audrey-terras-9780521113670","title":"Zeta Functions of Graphs","description":"Graph theory meets number theory in this stimulating book. Ihara zeta functions of finite graphs are reciprocals of polynomials, sometimes in several variables. Analogies abound with number-theoretic functions such as Riemann\/Dedekind zeta functions. For example, there is a Riemann hypothesis (which may be false) and prime number theorem for graphs. Explicit constructions of graph coverings use Galois theory to generalize Cayley and Schreier graphs. Then non-isomorphic simple graphs with the same zeta are produced, showing you cannot hear the shape of a graph. The spectra of matrices such as the adjacency and edge adjacency matrices of a graph are essential to the plot of this book, which makes connections with quantum chaos and random matrix theory, plus expander\/Ramanujan graphs of interest in computer science. Pitched at beginning graduate students, the book will also appeal to researchers. Many well-chosen illustrations and diagrams, and exercises throughout, theoretical and computer-based.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Audrey Terras\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 0521113679\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9780521113670\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Cambridge University Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 11\/18\/2010\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 252\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.14lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.10h x 6.10w x 0.60d\u003cbr\u003e\u003cbr\u003e\u003cb\u003eReview Citation(s): \u003c\/b\u003e\u003cbr\u003e\u003ci\u003eChoice\u003c\/i\u003e 11\/01\/2011","brand":"Audrey Terras","offers":[{"title":"Hardcover","offer_id":43919977644287,"sku":"9780521113670","price":82.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/products\/img_3bfbadc7-4322-4f4a-88ad-0a07a6aa03de.jpg?v=1680812957","url":"https:\/\/www.whiterainbookhouse.com\/products\/zeta-functions-of-graphs-audrey-terras-9780521113670","provider":"WR Book House","version":"1.0","type":"link"}