You need to emit the event from child component to send your data and use the on method to get that data in the parent component:
Parent:
Color
methods: {
// ...
changeColor(selected) {
// do what you want to do with selected
}
// ...
}
Child:
As per your comment, you can do like this:
this.$parent.$options.methods.someParentMethod(data)
Note:
Use $parent and $children sparingly - they mostly serve as an escape-hatch. Prefer using props and events for parent-child communication.