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The graph is an essential data structure for representing relational information. When graphs are used to represent objects, comparing objects amounts to graph matching. Inexact graph matching is the process of finding the best possible matching between two graphs when exact matching is impossible. In this paper, we propose a new algorithm for the inexact matching problem. The new algorithm decomposes the matching process into K phases, where the value of K ranges from 1 to the minimum of thedoi:10.1109/icpr.2002.1047427 dblp:conf/icpr/HlaouiW02 fatcat:xk6c2xkr5vhddjgvwcrsycecwu