An Enumerating Equation of Rooted Loopless Planar Maps with Node Partitoin
Cheng Xia-feng · Journal of Nanchang College of Water Conservancy and Hydroelectric Power · 2001
An enumerating equation of rooted loopless planar maps with node partilion is presented. Based on duality principle, the enumerating equation of undetachable-edge rooted planar map with face partition is extended, obtaining an enumerating equatim whose explicit equation, with number of edges being parameter, is derived by means of quadric form and lagrange inversion theorem.