Delete a connection without removing text

To remove the branch connection between two items in a coggle diagram, without removing the item text:
  1. Right-click (or long press) on the connection.
  2. Choose the remove connection option from the menu.

Or, you can also move the child item to a new parent instead.

If the connection was the only branch between mind map items, the detached item will automatically become a new mind map root item, or you can change its shape.