This next segment is going to cover the string skipping patterns that we are all familiar with: 3 note per string patterns. I will show you some basic examples and show how you can arrange them to help create your own voice on the guitar.
The first one we will look at is a simple G major 3 note per string pattern starting on the low E string and going up the fretboard to the high E string. You can play this either with complete alternate picking or also with legato as well.
Now we can take this pattern and permutate it to give it a little more flavor to it. One thing I might do is turn this into a little sequence pattern, but still retaining the string-skipping motif. It has a nice melodic arpeggio sound to it.
Another example of these is based off of the A Whole-Tone scale starting on the 5th fret of the low E string. The good thing about the whole tone scale is that every note is one whole step apart so there are no wacky fingerings to play when skipping strings.
Here is a way I would change this lick up, by giving it a more melodic edge to it, but still retaining the string-skipping motif, just like the first example.
If you are in the look out for some practical applications of this type of string skipping, a few things you can look at are the solo to Dream Theater's "Fatal Tragedy" or the end solo to the Racer X song "Scarified". It would also be a good idea to try and come up with some string skipping exercises on your own.