Lecture 23
نویسنده
چکیده
Today we examine the zig-zag product introduced by Reingold, Vadhan, and Wigder son [2] and Capalbo, Reingold, Vadhan, and Wigderson [1]. The product leads to a remarkable constructioon of expander graphs needed in the Spiser-Spielman code. In addition, their works introduce a probabilistic viewpoint of expansion. In previous liter ature, the spectral techniques are used to analyze the expansion of expanders and often limited to nonbiparite graphs. This randomness notion of expansion enables them to construct a new family of expanders that beat the eigenvalue bound. Warning: this lecture is not self-contained and omits various proofs.
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