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math.CO2026
On the largest size of sum-free sets in symmetric regions
Anubhab Ghosal, Dmitry Tsarev
A subset of a group is said to be sum-free (resp. -free) if there are no solutions to (resp. ) with . For a convex region $R\subset\mathbb{R…
math.CO2026
Colour-balanced subgraphs
Emma Hogan, Alex Scott, Dmitry Tsarev
A -edge-coloured graph is colour-balanced if each colour appears equally often. Resolving a conjecture of Pardey and Rautenbach, we show that any colour-balanced -edge-colour…