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Viac informácií o knihe Zeta Functions of Graphs

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Anotácia 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.

Parametre knihy

Zaradenie knihy Knihy po anglicky Mathematics & science Mathematics Mathematical foundations

• Celý názov: Zeta Functions of Graphs
• Podnázov: A Stroll through the Garden
• Autor: Audrey Terras
• Jazyk: Angličtina
• Väzba: Pevná
• Počet strán: 252
• EAN: 9780521113670
• ISBN: 0521113679
• ID: 04090440
• Nakladateľ: Cambridge University Press
• Hmotnosť: 532 g
• Rozmery: 229 × 157 × 21 mm
• Dátum vydania: 18. November 2010

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