In Ramsey Theory for graphs we are given a graph _{0} such that, for any _{0}, any red/blue colouring of the edges of _{n}_{n}_{n}_{n}

These parameters were introduced by Caro, Hansberg and Montejano. These authors also introduce the more general omnitonal number ot(

In this paper we shall catalogue bal(

#### Keywords

- edge-colouring
- zero-sum Ramsey
- balanceable graphs
- omnitonal graphs

#### MSC 2010

- 05C15
- 05C55

_{m} over_{4}, Graphs Combin.

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