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Abstract |
High-order interaction occurs in various complex network, such as social network, bionetwork and network medicine. Comparing with that there are a lot of well-developed math tools (from graph theory) on pairwise interaction networks, there are limited mathematical tools on high-order interaction networks so far. Algebraic topology might represent the next revolution in high-order complex network science. In this talk, we will give an introduction to the GLMY theory on digraphs introduced by S. T. Yau et al, which is a new algebraic topology theory of digraphs with successful applications in science to control flow in complex networks, the design of materials and molecules, and the identification of diagnostic features of complex diseases. |
