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Recently, core-periphery (CP) structure as another mesoscale structure of complex networks has been observed in many real-world systems, which can be viewed as a significant property of complex networks. Though considerable efforts have gone into the investigation of a famous mesoscale structure known as community structure, the investigation of CP structure is very limited. In this work, we develop a new algorithm to detect the CP structure based on high-order connectivity patterns described by 3-tuple motifs, where the patterns of edges as well as the property of nodes in subgraphs are considered. Within this framework, three main steps are involved in detecting the CP structure:(1) define a 3-tuple motif and establish its corresponding motif adjacency matrix WM;(2) apply the spectral clustering on the motif adjacency matrix WM; and (3) detect the core nodes and peripheral nodes simultaneously via the …