Counting Rooted Nearly 2-regular Planar Maps

作     者：郝荣霞 蔡俊亮 HAO Rong-xia;CAI Jun-liang

作者机构：Department of Mathematics Beijing Jiaotong University Beijing 100044 Department of Mathematics Beijing Normal University Beijing 100875he number of rooted nearly 2-regular maps with the valency of root-vertex the number of non-rooted vertices and the valency of root-face as three parameters is obtained. Furthermore the explicit expressions of the special cases including loopless nearly 2-regular maps and simple nearly 2-regular maps in terms of the above three parameters are derived. 

出 版 物：《Northeastern Mathematical Journal》 (东北数学（英文版）)

年 卷 期：2004年第20卷第3期

页      面：265-270页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：The NNSF (10271017  60373030) of China 

主　　题：planar map simple map 2-regular map 

摘      要：The number of rooted nearly 2-regular maps with the valency of root-vertex, the number of non-rooted vertices and the valency of root-face as three parameters is obtained. Furthermore, the explicit expressions of the special cases including loopless nearly 2-regular maps and simple nearly 2-regular maps in terms of the above three parameters are derived.