Here's another, historical way to look atvit.
Punk comes straight from ska. All the typical walks, 1-3-5 arpeggios used at moderate speed in ska can be put to use in punk.
this!, in a big way. You can use almost every Ska trick in punk.
another thing is to keep pounding notes, but use the melody as a guideline and not focus solely on guitar chords.
and as a listening suggestion: the Jam, Only borderline punk, but great bass riffs.