Step 1

Reduce vinegar by half in a small saucepan over medium-high heat, about 10 minutes. Stir in honey, and let cool.

Step 2

Combine cabbage, 2 grated carrots, and green onions in a large bowl; toss with vinegar mixture to mix. Add kosher salt and ground black pepper, and toss again. Chill and let stand about 20 minutes.

Step 3

Stir together mayonnaise, mustard, and ground red pepper in a small bowl. Add parsley, and toss with cabbage mixture. Chill 2 hours in an airtight container until ready to serve. Garnish, if desired.