Governor resigning after recall is triggered - what happens?

[Sir Mohamed]

Say Scott Walker or Gray Davis just would have resigned from office after the recall was triggered, what would have happened? Or if Newsom does so in case the signature effort succeeds. Does the recall election still take place against the lt. gov. who ascended to the governorship or becomes that obsolete?

If the election becomes obsolete, an endangered incumbent could theoretically actually resign to save his party from losing the seat. Theoretically, the new gov. could even move ahead and appoint his predecessor lt. gov. before resigning himself and allow the original gov. to return to office. The recall effort would be required to start from the beginning again?