Odd-defect list edge-colouring bound
Odd-defect list edge-colouring bound
Let be a graph, let be an odd integer, and let denote its -defective list chromatic index.
Odd-defect list edge-colouring conjecture. For every odd integer and for every graph ,
This is a proposed extension of the defective edge-colouring bound to list edge colouring; the source notes that the corresponding announced result has a flaw outside a divisibility condition, so the conjecture remains open.
Sources & referencesView supporting material
Primary source
Pierre Aboulker, Guillaume Aubian and Chien-Chung Huang, “Vizing's and Shannon's Theorems for defective edge colouring”, arXiv:2201.11548 (2022).
Additional references
3 papers in this index state this conjecture (2006–2022). The statement above is taken from the most recent of them; the others are arXiv:2109.06110, arXiv:math/0605234.
Progress summary
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