Discrete Maths Special Relations and Partial Orders

[rushhour]

Hi,

I have the following relation:

http://e.imagehost.org/0187/relation.jpg (click on link to view image)

And I need help giving a mathmatical definition of this relation. I am also having problems stating if the relation is reflexive, symmetric, transitive or antisymmetric. I also need to state my reasons for this. Another problem I am having is stating whether this is a partial order or an equivalence relation.

Any help would be good.

Thanks in advance if you can help me.

[exception]

Homework questions are intended for the person getting them from his teacher. So unless you have a concrete question, please do it yourself.

[firedraco]

reflexive, symmetric, transitive or antisymmetric

Uh oh...I have remember those from logic >.>

[cyanglee]

You can define this relation like this:

R={<A,A>,<B,A>,<B,C>,<C,B>,<C,A>}

This relation is

neither reflexive (cause there aren't <B,B> or<C,C>),nor antireflexive
(cause there ia a <A,A>);

neither symmetric (<B,A> but no <A,B>, and<C,A> no <A,C>),nor antisymmetric(<B,C> and <C,B>,but C!=B);

also it is not transitive(cause there are <B,C>and<C,B>,but no<B,B>and<C,C>).

May it will help!