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On the vertex partition equation of loopless Eulerian planar maps
Authors:Yanpei  Liu
Institution:(1) Institute of Applied Mathematics, Academia Sinica, 100080 Beijing, China
Abstract:The functional equation satisfied by the vertex partition function of rooted loopless Eulerian planar maps is provided. As applications, the enumerating equations for general and regular cases of this kind of maps are also discussed.This project is supported partially by the National Natural Science Foundation of China Grant 18971061.
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