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- W2904473008 abstract "We call a (not necessarily planar) embedding of a graph $G$ in the plane emph{sequential} if its vertices lie in $mathbb Z^2$ and the line segments between adjacent vertices contain no interior integer points. In this note, we prove (i) a graph $G$ has a sequential embedding if and only if $G$ is 4-colorable, and (ii) if $G$ is planar, then $G$ has a sequential planar embedding." @default.
- W2904473008 created "2018-12-22" @default.
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- W2904473008 date "2018-12-07" @default.
- W2904473008 modified "2023-09-27" @default.
- W2904473008 title "Sequentially embeddable graphs" @default.
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