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Given (finite, simple) graphs $G$, $H$ and $K$ and a homomorphism$$
G+K\to H+K
$$
where $+$ denotes the join, does it follow that there also exists a graph homomorphism $G\to H$?
If this is known, I'd also appreciate a reference.
Given graphs $G$, $H$ and $K$ and a homomorphism$$
G+K\to H+K
$$
where $+$ denotes the join, does it follow that there also exists a graph homomorphism $G\to H$?
If this is known, I'd also appreciate a reference.
Given (finite, simple) graphs $G$, $H$ and $K$ and a homomorphism$$
G+K\to H+K
$$
where $+$ denotes the join, does it follow that there also exists a graph homomorphism $G\to H$?
If this is known, I'd also appreciate a reference.
Given graphs $G$, $H$ and $K$ and a homomorphism$$
G+K\to H+K
$$
where $+$ denotes the join, does it follow that there also exists a graph homomorphism $G\to H$?
If this is known, I'd also appreciate a reference.
