A genuine question on loyalty !

Before I start off on this question, I am not a homophobe. I respect people of all sexual orientations including the asexuals.

Now, I understand in a hetero or homo sexual relationship, loyalty will be a perfectly clear aspect, where the people in the relationship are strictly loyal to one another by being with one another both physically & emotionally as well.

However, with respect to bisexual folks, how does loyalty work? Being a bisexual, you do have indicate that you would like both sexes to be your sexual partners but, that goes right against the lines of loyalty from a hetero or a homo sexual relationship perspective.

I'd appreciate responses to this without insulting or being rude to anyone.

Thank you.

Kay.