I finished this mat a little while ago.
Nice small size
Easy bound edge, no backing.
A quick visual tutorial for binding the edge:
Cut a piece of cotton or flannel 1 inch wide
(Note that here I used 1.5 inches and had to trim later)
Pin in place around your mat and stitch with a running stitch all around.
You can fold the raw edge at one or both ends for neat finish.
Trim away excess:
Apologies, I don't show that I did cut the trim width down to 1 inch,
1 inch is plenty wide enough.
Fold over and pin in place all around edge:
Make tiny stitches along the back,
matching to your running stitch,
to hold the trim in place.