Zeta Functions of Graphs: A Stroll Through the Garden

by Audrey Terras

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...

• Format: Hardcover
• Language: English
• ISBN: 0521113679
• ISBN13: 9780521113670
• Release Date: December 2010
• Publisher: Cambridge University Press
• Length: 252 Pages
• Weight: 1.14 lbs.
• Dimensions: 0.6" x 6.1" x 9.1"