Acta mathematica scientia,Series A ›› 2005, Vol. 25 ›› Issue (3): 404-408.

• Articles • Previous Articles     Next Articles

A Note on Solution to the Chromatic Sum Equation of Planar Trees

 HAO Rong-Xia, LIU Pan-Pei   

  • Online:2005-07-24 Published:2005-07-24
  • Supported by:

    国家自然科学基金(NNSFC 10271017,NNSFC 10271048,NNSFC  60373030); 北京交通大学校基金(2004SM054)资助

Abstract:

 In this paper, the chromatic sum equation of rooted planar trees with vertex pa rtition is obtained. The explicit expressions of chromatic sum equations for roo ted planted trees and planar trees with infinitive parameters are derived respec tively. Furthermore, the explicit result of enumerating function of rooted plana r trees with vertex partition is gotten as a directly corollary.

Key words: Map, Chromatic sum equation,Tree

CLC Number: 

  • 05C45
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