In mathematics, and more specifically in graph theory, a multigraph is a graph which is permitted to have multiple edges (also called parallel edges), that is, edges that have the same end nodes. Thus two vertices may be connected by more than one edge.There are two distinct notions of multiple edges:A multigraph is different from a hypergraph, which is a graph in which an edge can connect any number of nodes, not just two.For some authors, the terms pseudograph and multigraph are synonymous. For others, a pseudograph is a multigraph with loops.