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arXiv · 0905.3862

Infinite families of regular expanders of arbitrary constant degree obtained via the modified zig-zag product

Cristina Ballantine·Matthew Horton
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Abstract

We generalize the zig-zag product construction to produce infinite families of regular graphs of any constant degree. We analyze the second largest eigenvalue of this new zig-zag product to show that the modified zig-zag product of good expanders is again a good expander (yet not Ramanujan).

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Cristina Ballantine, Matthew Horton. 2010-08-28. Infinite families of regular expanders of arbitrary constant degree obtained via the modified zig-zag product. https://arxiv.org/abs/0905.3862

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