Abstract
We discuss the connection between the expansion of small sets in graphs, and the Schatten norms of their adjacency matrices. In conjunction with a variant of the Azuma inequality for uniformly smooth normed spaces, we deduce improved bounds on the small-set isoperimetry of Abelian Alon-Roichman random Cayley graphs.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 623-634 |
| Number of pages | 12 |
| Journal | Combinatorics Probability and Computing |
| Volume | 21 |
| Issue number | 4 |
| DOIs | |
| State | Published - Jul 2012 |
| Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Theoretical Computer Science
- Statistics and Probability
- Computational Theory and Mathematics
- Applied Mathematics
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