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@misc{cogprints6751, month = {December}, title = {A Necessary and Sufficient Condition for Graph Matching to be equivalent to Clique Search}, author = {Brijnesh Jain}, year = {2009}, keywords = {graph matching, maximum weight clique problem}, url = {http://cogprints.org/6751/}, abstract = {This paper formulates a necessary and sufficient condition for a generic graph matching problem to be equivalent to the maximum vertex and edge weight clique problem in a derived association graph. The consequences of this results are threefold: first, the condition is general enough to cover a broad range of practical graph matching problems; second, a proof to establish equivalence between graph matching and clique search reduces to showing that a given graph matching problem satisfies the proposed condition; and third, the result sets the scene for generic continuous solutions for a broad range of graph matching problems. To illustrate the mathematical framework, we apply it to a number of graph matching problems, including the problem of determining the graph edit distance.} }