Loop : Typically and logically it is synonymous with closed chain.

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Circuit : Synonym for closed chain. Generally, a circuit is a closed path that begins and ends in the same place (Oxford English Dictionary, 1989). In graph theory it is also called a cycle.

Closed chain ( Swanson & Bota, 2010 ) : A series of connections in a topological circle; that is, one can start at any node and follow connections back to the same node; synonyms include circuit, loop, and cycle.

Cycle : In graph theory a synonym for closed chain or circuit.