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- W3176167647 abstract "Random graph alignment refers to recovering the underlying vertex correspondence between two random graphs with correlated edges. This can be viewed as an average-case and noisy version of the well-known graph isomorphism problem. For the correlated Erdos-Renyi model, we prove the first impossibility result for partial recovery in the sparse regime (with constant average degree). Our bound is tight in the noiseless case (the graph isomorphism problem) and we conjecture that it is still tight with noise. Our proof technique relies on a careful application of the probabilistic method to build automorphisms between tree components of a subcritical Erdos-Renyi graph." @default.
- W3176167647 created "2021-07-05" @default.
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- W3176167647 date "2021-08-15" @default.
- W3176167647 modified "2023-10-10" @default.
- W3176167647 title "Impossibility of Partial Recovery in the Graph Alignment Problem" @default.
- W3176167647 hasPublicationYear "2021" @default.
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