Tight Bounds for Subgraph Isomorphism and Graph Homomorphism

Abstract

We prove that unless Exponential Time Hypothesis (ETH) fails, deciding if there is a homomorphism from graph G to graph H cannot be done in time |V (H)|o(|V . Combined with the reduction of Cygan, Pachocki, and Soca la, our result rules out (subject to ETH) a possibility of |V (G)|o(|V -time algorithm deciding if graph H is a subgraph of G. For both… (More)

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