Product Description
Zeta Functions of Graphs
A Stroll through the Garden
Combinatorics meets number theory in this stimulating stroll through the zetas. Includes well-chosen illustrations and exercises, both theoretical and computer-based.
Audrey Terras (Author)
9780521113670, Cambridge University Press
Hardback, published 18 November 2010
252 pages
23.5 x 15.7 x 1.9 cm, 0.53 kg
'The book is very appealing through its informal style and the variety of topics covered and may be considered the standard reference book in this field.' Zentralblatt MATH
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 S]
Zeta Functions of Graphs A Stroll through the Garden Terras Hardback
Zeta Functions of Graphs
A Stroll through the Garden
Combinatorics meets number theory in this stimulating stroll through the zetas. Includes well-chosen illustrations and exercises, both theoretical and computer-based.
Audrey Terras (Author)
9780521113670, Cambridge University Press
Hardback, published 18 November 2010
252 pages
23.5 x 15.7 x 1.9 cm, 0.53 kg
'The book is very appealing through its informal style and the variety of topics covered and may be considered the standard reference book in this field.' Zentralblatt MATH
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 S]
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