Melt the butter in a small skillet over medium-high heat. Add the coarsely chopped nuts and toast, stirring often, until lightly browned. Set aside to cool (you can pop them in the fridge or freezer to speed this up).
In a medium sized mixing bowl, thoroughly whisk together all of the vinaigrette ingredients.
Add the slaw ingredients and the nuts; toss to coat with the vinaigrette.