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- W2169633784 abstract "The graph homomorphism problem (HOM) asks whether the vertices of a given n-vertex graph G can be mapped to the vertices of a given h-vertex graph H such that each edge of G is mapped to an edge of H. The problem generalizes the graph coloring problem and at the same time can be viewed as a special case of the 2-CSP problem. In this paper, we prove several lower bounds for HOM under the Exponential Time Hypothesis (ETH) assumption. The main result is a lower bound (2^{Omega left( frac{n log h}{log log h}right) }). This rules out the existence of a single-exponential algorithm and shows that the trivial upper bound (2^{mathcal {O}(nlog {h})}) is almost asymptotically tight." @default.
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- W2169633784 date "2015-01-01" @default.
- W2169633784 modified "2023-09-23" @default.
- W2169633784 title "Lower Bounds for the Graph Homomorphism Problem" @default.
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- W2169633784 doi "https://doi.org/10.1007/978-3-662-47672-7_39" @default.
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