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数学物理学报(A辑) 2005
A Note on Solution to the Chromatic Sum Equation of Planar Trees
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Abstract:
In this paper, the chromatic sum equation of rooted planar trees with vertex partition is obtained. The explicit expressions of chromatic sum equations for rooted planted trees and planar trees with infinitive parameters are derived respectively. Furthermore, the explicit result of enumerating function of rooted planar trees with vertex partition is gotten as a directly corollary.