Notation for weights of Edges in Graph Theory

Question

I got a question regarding the used notation of weight on the edges of Graphs (I'm quite new to Graph Theory, so don't judge).

How would you express the weights of a edge. For example say that the weight of the Edge $(K_1,K_2)$ is 5 (or whatever). Is there a way to express this other than through plain text.

Thanks in advance :)

Answer 1

The straightforward approach is to define the weighting function from $E$ (the edges) to $\mathbb{R}$, $\mathbb{Z}$, $\mathbb{N}$, or whatever other field you want to use for the weights.

In my experience this function is usually called $w$. (Someone suggested in the comments to use $\omega$, which I find surprising).