Zeta Functions of Graphs: A Stroll through the Garden

    By

    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.

    View more

    Number of Pages: 252
    Format(s): Hardback - ISBN: 9780521113670
    Publication Date:
    Listed in: Mathematical foundations, Discrete mathematics
    Publisher: CAMBRIDGE UNIVERSITY PRESS

    Books by Audrey Terras

    Hardback

    RRP: £43.00

    Sale Price: £28.26

    Save: £14.74 per copy!

    Side-Banner-Right-188px-fd.jpg
    Books TV & Movies

    You might also like...

    Latest from the blog

    Fantastic new recipe book from Sabrina Ghayour 'Sirocco'

    Sabrina Ghayour's long awaited second recipe book Sirocco is out this month and is a great follow up to Persianna. Read article

    Ten Great Bedtime Reads from The Great British Bookshop and Aspace

    We have teamed up with Aspace (www.aspace.co.uk) who create beautiful room for Children to bring you 10 great bedtime reads for your little ones. Read article

    Latest from Twitter

    • @TheGBBookshop - 2 years ago

      Lottery funding for dementia reading project £2m pledged for Reading Agency scheme to pair readers with dementia sufferers

      @TheGBBookshop - 2 years ago

      Harry Potter and the Cursed Child has held on to the number one spot for a sixth week #HarryPotter #CursedChild @littlebrown @pottermore

    • @TheGBBookshop - 2 years ago

      @thebookseller @MartinaCole @Jeffrey_Archer @Foyles

      @TheGBBookshop - 2 years ago

      Frith wins inaugural Klaus Flugge Prize for illustration t.co/U9P08h4XMG

    • @TheGBBookshop - 2 years ago

      RT @Gue_de_Bost: #Dordogneholidaycottage available Sept tweet to book for more info

      @TheGBBookshop - 2 years ago

      The editor is just back from france @HomeAwayUK! t.co/IWutTER1x7