Sing IP For A Network Of Sites?

I just recently purchased a few domains.

Example:

gamewiki
gameforum
gameblog

If I have all three sites on one hostgator IP, will I have negative results in the search engines? They will probably have a few links going between them . . .

I"m not much of an SEOer so I thought I'd ask.

I appreciate anyones help and advice.

Thestrangefruit

(edit) The title was suppose to be Single IP For A Network Of Sites

If there is a logical reason to link between them then you could be OK. However if the search engines think you're linking them together just for SEO purposes then maybe you might have a small problem. With only 3 sites though I can't see you being classed as a link / blog farm though

I have sites on the same IP one way linking but they're in the same niche and there is a logical reason to link to them.