A new explicit construction of unique-neighbor expanders
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Abstract
For every integer 4\leq d \leq 11 , an explicit construction of infinite families of 2d-regular unique-neighbor expanders is presented, which is a generalization of the 6-regular unique-neighbors initially developed by Alon and Capalbo. Additionally, for values of d greater than 11, a sufficient condition is established for employing the same construction method. Our construction method involves the “line product” of large bipartite Ramanujan graphs and a sufficiently good unique-neighbor expander (a small gadget).
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