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Valve-closing analysis is used to obtain the optimal valve-closing scheme in maintenance of water distribution networks, which is significant for water supply security. A new pipeline analysis model, unit-valve graph, is presented based on the traditional node-link graph model, which has much less features and concise topology. As a pseudo-dual graph of the original node-link graph, the unit-valve graph classifies the network regions isolated by valves as vertexes, and takes valves as edges. An efficient isolated unit constructing algorithm is designed based on the node-link graph, which helps to build the unit-valve graph. Further more, an efficient valve closing algorithm based on the unit-valve graph is developed. Experimental results show that the new algorithm has a remarkable advantage in terms of efficiency compared with the traditional algorithm and get a correct valve closing scheme even in the case of multi point construction. [ABSTRACT FROM AUTHOR]