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This paper p r e s e n t s a new algorithm f o r t a s k mapping onto a hypercube. The s t r u ct u r e of p a r a l l e l programs can be expressed by a t a s k graph. With t h i s graph, t h e algorithm g e n e r a t e s a mapping t h a t reduces communications c o s t s considerably.When t h e t a r g e t computer i s an n-dimens i o n a l cube (n-cube), t h e algorithm i s composed of n s t a g e s . I t starts with an ini t i a l s t a t e i n which t h e t a s k s are mapped onto 2+ 0-cubes.A t each s t a g e k, t h e t a s k graph i s mapped onto 2nmk k-cubes.The mapping onto k-cube can be accomplished by c o w bining two (k-1)-cubes.
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