I think even though the egg white has sulfur-containing proteins, it doesn't produce as much gas as broccoli, beans, and other high IF foods. But it does make for much smellier farts! So, I think if you eat cooked egg whites in moderation, and you don't have an intolerance to them, you shouldn't have too much of a problem w/ gas.
Also, it helps to always have fennel or peppermint tea when you eat eggs. Drinking cranberry juice, which we can have on this diet, is a gas odor-REDUCER! Whee! Soy yogurt is another. I have a list somewhere of foods that produce or reduce odor. I'll try to find it.