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- W4306706677 abstract "For two independent ErdH{o}s-R'enyi graphs $mathbf G(n,p)$, we study the maximal overlap (i.e., the number of common edges) of these two graphs over all possible vertex correspondence. We present a polynomial-time algorithm which finds a vertex correspondence whose overlap approximates the maximal overlap up to a multiplicative factor that is arbitrarily close to 1. As a by-product, we prove that the maximal overlap is asymptotically $frac{n}{2alpha-1}$ for $p=n^{-alpha}$ with some constant $alphain (1/2,1)$." @default.
- W4306706677 created "2022-10-19" @default.
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- W4306706677 date "2022-10-14" @default.
- W4306706677 modified "2023-10-16" @default.
- W4306706677 title "A polynomial-time approximation scheme for the maximal overlap of two independent ErdH{o}s-R'enyi graphs" @default.
- W4306706677 doi "https://doi.org/10.48550/arxiv.2210.07823" @default.
- W4306706677 hasPublicationYear "2022" @default.
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