This paper proposes a new dependency-based analysis of coordination that generalizes over existing analyses by combining symmetrical and asymmetrical analyses of coordination into a DAG structure. The new joint structure is shown to be theoretically grounded in the notion of connections between words just as the formal definition of other types of dependencies. Beside formalizations of shared dependents (including right-node raising), paradigmatic adverbs, and embedded coordinations , a completely new formalization of non-constituent coordination is proposed.