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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.
A zigzag is a pattern made up of small corners at variable angles, though constant within the zigzag, tracing a path between two parallel lines; it can be described as both jagged and fairly regular. In geometry, this pattern is described as a skew apeirogon.
A zigzag transformer winding is a special-purpose transformer winding with a zigzag or "interconnected star" connection, such that each output is the vector sum of two (2) phases offset by 120°. [1] It is used as a grounding transformer, creating a missing neutral connection from an ungrounded 3-phase system to permit the grounding ...
Website. www.zigzagrailway.com.au. The Zig Zag Railway is an Australian heritage railway, situated near Lithgow, New South Wales. It was opened by the not-for-profit Zig Zag Railway Co-op as an unpaid volunteer-staffed heritage railway in October 1975, using the alignment of the Lithgow Zig Zag line that formed part of the Main Western line ...
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 ...
