Questions tagged [expanders]

An expander is a sparse (low degree) graph with high "expansion," measured in one of several ways; typically akin to the minimum ratio of the size of a subgraph boundary to the subgraph's volume.

Filter by
Sorted by
Tagged with
24
votes
2answers
864 views

Space efficient “industrial” unbalanced expanders

I am looking for unbalanced expanders that are "good" and "space-efficient". Specifically, a bipartite left-regular graph $G=(A,B,E)$, $|A|=n$, $|B|=m$, with left degree $d$ is a $(k,\epsilon)$-...
6
votes
2answers
496 views

Terminology for sparse cuts in graphs

I have found some ambiguity in how the graph parameters edge-expansion, uniform sparsest cut and conductance are defined and denoted. My questions are: what are the definitions that best match the ...
4
votes
2answers
543 views

Resources on Cryptographic Applications of Expander Graphs

I want to read papers on cryptography like How to Recycle Random Bits or Security Preserving Amplification of Hardness. They use random walks on expander graphs. I need a short introduction to the ...