Which preposition to use with borderings

of Occurrences 5%

It wove in long curves, delightfully white with the bordering of green on either side.

on Occurrences 3%

These may be briefly catalogued under the following heads: A passionate violence of temper (terribilità), expressing itself in hasty acts and words; extreme suspiciousness and irritability; solitary habits, amounting to misanthropy or churlishness; eccentricity and melancholy bordering on madness; personal timidity and avarice; a want of generosity in imparting knowledge, and an undue partiality for handsome persons of his own sex.

Which preposition to use with  borderings