Zeta functions of graphs
Audrey Terras
Reading Time
at 250 WPM4h 13m
The average reader, reading at a speed of 250 WPM, would take 4h 13m to read Zeta functions of graphs.
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9
days at 30 min/day
253
total minutes
Zeta functions of graphs
Published
2011
Publisher
Cambridge University Press
Pages
253
ISBN-13
9781282907980
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"--
Introduction to probability models
Discrete mathematics with graph theory
Introduction to graph theory
Applied and algorithmic graph theory
Graph theory
Introduction to graph theory
Frequently Asked Questions
How many pages are in Zeta functions of graphs?
This edition of Zeta functions of graphs has approximately 253 pages. Please note, this is an estimate and the exact page count can vary between hardcover, paperback, and e-book versions.
How long does it take to read Zeta functions of graphs?
For most readers, Zeta functions of graphs typically takes between 5h 16m and 3h 31m to complete. This is based on the book's length of approximately 63,250 words and common reading speeds.
Here's a detailed breakdown: • Continuous reading at 250 WPM: approximately 4h 13m of focused reading • Casual reading (30 minutes/day): you could finish in roughly 9 days • Estimated word count: 63,250 words
Your individual reading time will vary based on your personal reading pace, the amount of daily reading time, and your familiarity with the subject matter.
What is the word count of Zeta functions of graphs?
The estimated word count for Zeta functions of graphs is approximately 63,250 words. This figure is calculated using industry-standard methods that consider genre-specific word density patterns, typical formatting and layout characteristics, and standard words-per-page ratios for published books.
This is an approximation — actual word count may vary based on font size, formatting, edition, and the presence of illustrations or charts.
Who is the author of Zeta functions of graphs?
Zeta functions of graphs was written by Audrey Terras.
When was Zeta functions of graphs published?
The publication date for this specific edition is 2011. The original work may have been published on a different date.