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Expanding Graphs
Edited by: Joel Friedman
A co-publication of the AMS and DIMACS.
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DIMACS: Series in Discrete Mathematics and Theoretical Computer Science
1993; 142 pp; hardcover
Volume: 10
ISBN-10: 0-8218-6602-8
ISBN-13: 978-0-8218-6602-3
List Price: US$62
Member Price: US$49.60
Order Code: DIMACS/10
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This volume contains the proceedings of the DIMACS Workshop on Expander Graphs, held at Princeton University in May 1992. The subject of expanding graphs involves a number of different fields and gives rise to important connections among them. Many of these fields were represented at the workshop, including theoretical computer science, combinatorics, probability theory, representation theory, number theory, and differential geometry. With twenty-two talks and two open problem sessions, the workshop provided a unique opportunity for cross-fertilization of various areas. This volume will prove useful to mathematicians and computer scientists interested in current results in this area of research.

Co-published with the Center for Discrete Mathematics and Theoretical Computer Science beginning with Volume 8. Volumes 1-7 were co-published with the Association for Computer Machinery (ACM).

Readership

Research mathematicians and computer scientists.

Table of Contents

  • N. Alon and Y. Roichman -- Random Cayley graphs and expanders (abstract)
  • R. Brooks -- Spectral geometry and the Cheeger constant
  • F. R. K. Chung -- The Laplacian of a hypergraph
  • M. Jerrum -- Uniform sampling modulo a group of symmetries using Markov chain simulation
  • N. Kahale -- On the second eigenvalue and linear expansion of regular graphs
  • J. Lafferty and D. Rockmore -- Numerical investigation of the spectrum for certain families of Cayley graphs
  • F. Lazebnik and V. A. Ustimenko -- Some algebraic constructions of dense graphs of large girth and of large size
  • A. Lubotzky and B. Weiss -- Groups and expanders
  • M. Morgenstern -- Ramanujan graphs and diagrams function field approach
  • H. Schellwat -- Highly expanding graphs obtained from dihedral groups
  • A. Terras -- Are finite upper half plane graphs Ramanujan?
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