2. In FM, problematic nutrients, besides fructose and sucrose, include: HFCS, polyols (xylitol, maltitol...), fructooligosaccharides (FOS) or oligofructose, and inulin. In a "low-fructose" diet, excluding or limiting all of those nutrients is recommended, which makes a low-fructose diet very close to a low-FODMAP diet (Ref: the same link above).
It seems I have mistakenly added galacto-oligosaccharides (in chickpeas, lentils and other legumes), and there is not enough evidence to support exclusion of nuts (except coconuts) and vinegar in a low-fructose diet. I'm not the owner of the site where my article is, so I'll see what I can do.