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- W2767945946 abstract "There are two conjectures concerning planar graph colourings that are strengthenings of the four colour theorem. One concerns signed graph colouring and is proposed by M'{a}v{c}ajov'{a}, Raspaud and v{S}koviera. It asserts that every signed planar graph is $4$-colourable. Another concerns list colouring and is proposed by K{u}ndgen and Ramamurthi which asserts that if $L$ is a $2$-list assignment of a planar graph $G$, then there is an $L$-colouring of $G$ such that each colour class induces a bipartite graph. In this note we prove that the first conjecture implies the second one." @default.
- W2767945946 created "2017-11-17" @default.
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- W2767945946 date "2017-11-08" @default.
- W2767945946 modified "2023-09-27" @default.
- W2767945946 title "A note on two conjectures that strengthen the four colour theorem" @default.
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