SYMMETRY IN WORLD TRADE NETWORK

Symmetry of the world trade network provides a novel perspective to understand theworld-wide trading system.However,symmetry in the world trade network (WTN) has been rarelystudied so far.In this paper,the authors systematically explore the symmetry in WTN.The authorsconstruct WTN in 2005 and explore the size and structure of its automorphism group,through which theauthors find that WTN is symmetric,particularly,locally symmetric to a certain degree.Furthermore,the authors work out the symmetric motifs of WTN and investigate the structure and function of thesymmetric motifs,coming to the conclusion that local symmetry will have great effect on the stabilityof the WTN and that continuous symmetry-breakings will generate complexity and diversity of thetrade network.Finally,utilizing the local symmetry of the network,the authors work out the quotientof WTN,which is the structural skeleton dominating stability and evolution of WTN.

ymmetry of the world trade network provides a novel perspective to understand the world-wide trading system. However, symmetry in the world trade network （WTN） has been rarely studied so far. In this paper, the authors systematically explore the symmetry in WTN. The authors construct WTN in 2005 and explore the size and structure of its automorphism group, through which the authors find that WTN is symmetric, particularly, locally symmetric to a certain degree. Furthermore, the authors work out the symmetric motifs of WTN and investigate the structure and function of the symmetric motifs, coming to the conclusion that local symmetry will have great effect on the stability of the WTN and that continuous symmetry-breakings will generate complexity and diversity of the trade network. Finally, utilizing the local symmetry of the network, the authors work out the quotient of WTN, which is the structural skeleton dominating stability and evolution of WTN.