On Vizing's edge colouring question

07/16/2021 ∙ by Marthe Bonamy, et al. ∙ 0

Soon after his 1964 seminal paper on edge colouring, Vizing asked the following question: can an optimal edge colouring be reached from any given proper edge colouring through a series of Kempe changes? We answer this question in the affirmative for triangle-free graphs.

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