Relationship between reynaud's & livedo reticularis?

Different. Raynaud's is spasm of blood vessel with cold or stress leading to white (most important color change) as well as red and blue. Classicially it occurs in the fingers, but also can involve the feet or internal arteries. Livedo is a mottled reticulated vascular pattern that appears like a lace-like purplish discoloration of the lower extremities due swelling of medium veins. The causes can be many.