I've just been working on setting up dashboards to work a little better for me. One of the things I've done is build a home dashboard with several child dashboards. Most often I will be accessing these from a PC or tablet so I've set them to a column width and row height of blank to fit the browser well. On rare occasions I might need to access them from a phone or other device with a limited resolution and wish I could set a minimum width and height while still using auto-fit. In the dashboard fields for column width and row height you could preface the numeric value with a single character to indicate that the numeric value is the minimum size.
Right now I have to have additional dashboards setup for other devices. It'd be preferable to ditch these and just have a single set of dashboards to use across all devices.