Mohlo by se vám také líbit

Více informací o knize Zeta Functions of Graphs

• Parametry knihy
• Anotace
• Oblíbené z jiného soudku

Nákupem získáte 244 bodů

Anotace knihy

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. Created for beginning graduate students, the book will also appeal to researchers. Many well-chosen illustrations and exercises, both theoretical and computer-based, are included throughout.

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Mathematical foundations

• Plný název: Zeta Functions of Graphs
• Podnázev: A Stroll through the Garden
• Autor: Audrey Terras
• Jazyk: Angličtina
• Vazba: Pevná
• Počet stran: 252
• EAN: 9780521113670
• ISBN: 0521113679
• ID: 04090440
• Nakladatelství: Cambridge University Press
• Hmotnost: 532 g
• Rozměry: 229 × 157 × 21 mm
• Datum vydání: 18. November 2010

---

---

---