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- W2964172010 abstract "We supply an upper bound on the distinguishing chromatic number of certain infinite graphs satisfying an adjacency property. Distinguishing proper $n$-colourings are generalized to the new notion of distinguishing homomorphisms. We prove that if a graph $G$ satisfies the connected existentially closed property and admits a homomorphism to $H$, then it admits continuum-many distinguishing homomorphisms from $G$ to $H$ join $K_2.$ Applications are given to a family universal $H$-colourable graphs, for $H$ a finite core." @default.
- W2964172010 created "2019-07-30" @default.
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- W2964172010 date "2012-11-19" @default.
- W2964172010 modified "2023-10-15" @default.
- W2964172010 title "Distinguishing homomorphisms of infinite graphs" @default.
- W2964172010 doi "https://doi.org/10.11575/cdm.v7i2.62161" @default.
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