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A deterministic algorithm for signing bipartite graphs at the Ramanujan bound

Xu, Zhiqiang
arXiv (All) · Papers
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combinatoricscomputational-complexitydata-structures-and-algorithms
We give a deterministic polynomial-time algorithm for the Bilu--Linial signing problem on bipartite graphs. For every finite simple bipartite graph of maximum degree at most an integer $Δ\ge3$, the algorithm assigns signs to its edges so that the signed adjacency matrix has operator norm strictly le
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