The Operating Agreement tells how to do the allocations.

What do you mean by report as nondeductible on K-1?

It is my understanding that losses allocated to an LP in a year when a partnership is in a minimum gain situation is suspended and not currently deductible by the partner personally in that year  

I'm not familiar with that.

Deductibility at the partner level is determined by at risk, basis, and passive loss rules.

not solely when the partnership is in a minimum gain situation

Correct.