List colouring squares of planar graphs (extended abstract)
van den Heuvel, J.
, Havet, F., McDiarmid, C. & Reed, B.
(2007).
List colouring squares of planar graphs (extended abstract).
Electronic Notes in Discrete Mathematics,
29, 515-519.
https://doi.org/10.1016/j.endm.2007.07.079
In 1977, Wegner conjectured that the chromatic number of the square of every planar graph G with maximum degree Δ⩾8 is at most View the MathML source. We show that it is at most View the MathML source, and indeed this is true for the list chromatic number.
| Item Type | Article |
|---|---|
| Copyright holders | © 2007 Elsevier |
| Departments | LSE > Academic Departments > Mathematics |
| DOI | 10.1016/j.endm.2007.07.079 |
| Date Deposited | 09 Jul 2008 |
| URI | https://researchonline.lse.ac.uk/id/eprint/6740 |
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ORCID: https://orcid.org/0000-0003-0897-9148