A method of automatically matching schemas begins by extracting schemas from sources and targets. Then, source and target attributes are extracted from the schemas. Each source schema will have multiple source attributes and each target schema will also have multiple target attributes. The source attributes and the target attributes are presented as nodes in a bipartite graph. This bipartite graph has edges between nodes that are related to each other. A plurality of similarity scores are defined between each set of related nodes. Each of the similarity scores is based on a different context-specific cue of the attributes that the nodes represent. These context-specific cues can comprise lexical name, semantic name, type, structure, functional mappings, etc. An overall weight is computed for each edge in the bipartite graph by combining the similarity scores of each set of nodes that form an edge.