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In graph theory, the zig-zag product of regular graphs , denoted by , is a binary operation which takes a large graph ( ) and a small graph ( ) and produces a graph that approximately inherits the size of the large one but the degree of the small one.
- Zig-Zag (company)
Zig-Zag is a brand of rolling papers that originated in...
- Zig-Zag (company)
Reingold, Vadhan, and Wigderson introduced the zig-zag product in 2003. Roughly speaking, the zig-zag product of two expander graphs produces a graph with only slightly worse expansion. Therefore, a zig-zag product can also be used to construct families of expander graphs.
27 de fev. de 2020 · Entropy waves, the zig-zag graph product, and new constant-degree expanders. Annals of mathematics, 155(1):157{187, 2002. Shlomo Hoory, Nathan Linial, and Avi Wigderson. Expander graphs and their applications. Bulletin of the American Mathematical Society, 43(4):439{561, 2006. Luca Trevisan. Lecture Notes { U.C. Berkeley,
The Zig-Zag product uses the same idea, but now simulates two steps using the expander. This conveniently makes the graph stay undirected (i.e., is symmetric) Definition 2(Zig-Zag Product). Consider Gand Has in the previous definition. ThenGZH is the graph on NDvertices with degree d2 defined as follows: 1. V = [N] ×[D] 2.For l 1,l 2 ∈[d ...
Zig-Zag Graph Product In which we give an explicit construction of expander graphs of polylogarithmic de-gree, state the properties of the zig-zag product of graphs, and provide an explicit construction of a family of constant-degree expanders using the zig-zag product and the polylogarithmic-degree construction.
25 de set. de 2012 · Zig-Zag product David Steurer September 25, 2012. We will describe the zig-zag product of graphs, which allows us to reduce the degree of a graph while ...
