On Vizing's edge colouring question

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On Vizing's edge colouring question

Bonamy, Marthe; Defrain, Oscar; Klimošová, Tereza; Lagoutte, Aurélie; Narboni, Jonathan

Journal of combinatorial theory. Series B, 03/2023, Volume: 159

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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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Bonamy, Marthe | Defrain, Oscar | Klimošová, Tereza | Lagoutte, Aurélie | Narboni, Jonathan

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