Bibliothèque électronique gratuite

Expander graphs are families of finite graphs that are simultaneously relatively sparse and highly connected. Since their discovery in the fates 1960s, they have appeared in many seemingly unrelated areas of mathematics, from theoretical computer science to arithmetic and algebraic geometry, from representation theory to number theory. The goal of this book is to present the theory of expander graphs and to explore some of these rich connections. Besides a careful exposition of the basic parts of the theory, including the Cheeger constant, random walks and spectral gap characterizations of expander graphs, it contains many different constructions of various families of expander graphs. The applications that are surveyed in the last chapter try to communicate the remarkable reach of expander graphs in the modern mathematics.

...ory to number theory. Main An introduction to expander graphs ... An introduction to expander graphs - Research Collection ... . An introduction to expander graphs Emmanuel Kowalski. Year: 2018. Edition: version 18 Aug 2018. Language: english. Pages: 233. Series: lecture notes. File: PDF, 1.88 MB. Preview. Send-to-Kindle or Email . Please login to your account first; Need help? Please read our short guide how to send a book to Kindle. Save for later. Post a Review You can write a ... Noté /5. Retrouvez An introduction to expander graphs et ... An introduction to expander graphs de Emmanuel Kowalski ... ... ... Noté /5. Retrouvez An introduction to expander graphs et des millions de livres en stock sur Amazon.fr. Achetez neuf ou d'occasion Expander graphs are families of finite graphs that are simultaneously relatively sparse and highly connected. Since their discovery in the fates 1960s, they have appeared in many seemingly unrelated areas of mathematics, from theoretical computer science to arithmetic and algebraic geometry, fro... Expander graphs are families of finite graphs that are simultaneously relatively sparse and highly connected. Since their discovery in the fates 1960s, they have appeared in many seemingly unrelated areas of mathematics, from theoretical computer science to arithmetic and algebraic geometry, from representation theory to number theory. The goal of this book is to present the theory of expander ... Introduction to expander graphs Michael A. Nielsen1, ∗ 1School of Physical Sciences, The University of Queensland, Brisbane, Queensland 4072, Australia (Dated: June 22, 2005) I. INTRODUCTION TO EXPANDERS Expander graphs areoneofthedeepesttools oftheoret-ical computer science and discrete mathematics, popping Get this from a library! An introduction to expander graphs. [Emmanuel Kowalski] -- "Expander graphs are families of finite graphs that are simultaneously relatively sparse and highly connected. Since their discovery in the fates 1960s, they have appeared in many seemingly unrelated ... The expander walk sampling lemma, due to Ajtai, Komlós & Szemerédi (1987) and Gillman (1998), states that this also holds true when sampling from a walk on an expander graph. This is particularly useful in the theory of derandomization , since sampling according to an expander walk uses many fewer random bits than sampling independently. An introduction to expander families and Ramanujan graphs. Tony Shaheen. CSU Los Angeles. Before we get started on expander graphs I want . to give a definition that we will use in this talk. A graph is regular if every vertex has the same degree (the number of edges at that vertex). A 3-regu...