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Color Refinement, Homomorphisms, and Hypergraphs
[article]
2019
arXiv
pre-print
Recent results show that the structural similarity of graphs can be characterized by counting homomorphisms to them: the Tree Theorem states that the well-known color-refinement algorithm does not distinguish two graphs G and H if and only if, for every tree T, the number of homomorphisms Hom(T,G) from T to G is equal to the corresponding number Hom(T,H) from T to H (Dell, Grohe, Rattan 2018). We show how this approach transfers to hypergraphs by introducing a generalization of color
arXiv:1903.12432v1
fatcat:gwzzninerzcennxrojtliutcuq