Review of Higher-order Network Research in Complex Network Theory
Complex network theory has been widely applied in the fields of biology,physics,trans-portation,and so on.The fruitful research results have been achieved.However,more and more re-searchers found that the previous research based on the basic assumptions about the pairwise interactions,homogeneity relation,path-memoryless are not able to capture the important information of complex rela-tions,such as multiplicity,heterogeneity,and temporal sequence.The new complex network in which the important information about complex relations are considered is called"higher-order network".The research of high-order network is reviewed from four aspects:network construction,visualization,struc-tural measurement and dynamic process.The shortcomings of the research are found,and the future re-search direction is pointed out.
higher-order networknetwork constructionvisualizationstructural characteristicsdynamic process