Evaluate the node importance for water network based on complex network theory

There is a significant application to evaluate the node importance of water network in water resources schedule and safe operation management. With the background of sorting the nodes of Shanxi Water Network, this paper studies to evaluate the node importance for water network based on complex network theory. Firstly, four indexes are defined from the network structure and transmission dynamics perspective, such as Degree Centrality, Closeness Centrality, Betweenness Centrality and K-Shell. Secondly, this paper improves one index and proposes a multi-attribute decision method to evaluate the node importance more comprehensive. Finally, with consideration of the direction and level in water network, the water network should be divided into several sub-networks with the same level, and the node importance in the same level network is studied based on PageRank algorithm.