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

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).

preprint2010arXivOpen access
Cristina BallantineMatthew Horton
math.CO
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Open access2 authors1 topic
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Cristina BallantineMatthew Horton

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