There's no "DC" for either of those, any more than there's a DC for killing an enemy in combat with a sword.
Instead, there's grapple checks (like AC) and damage rolls that progress toward death or unconsciousness (depending on non-lethal vs lethal damage).
If your players are asking for a homebrew save-or-die in grappling, tell them there is absolutely no reason to add more complexity to an already-overburdened subsystem (grappling) and short-circuit existing defense systems (HP) more than is already the case.
In particular, save-or-dies are almost never available at low levels, almost always require daily resources (spell slots) or extra time spent, and almost always require significant character build investment in feats or spellcasting. Their request appears to be for a rule that any character can use as often as they like with investment needed only in perhaps a high Strength score and one feat (Improved Grapple, to remove a few penalties). That is terribly unbalanced.