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Counting Rooted Nearly 2-regular Planar Maps

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【Author】 HAO Rong-xia (Department of Mathematics, Beijing Jiaotong University, Beijing, 100044)CAI Jun-liang (Department of Mathematics, Beijing Normal University, Beijing, 100875)

【机构】 Department of Mathematics； Beijing Jiaotong University； Beijing； 100044； Beijing Normal University； 100875；

【摘要】 <正> 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.更多还原

【Abstract】 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.更多还原

【关键词】 planar map； simple map； 2-regular map；
【Key words】 planar map； simple map； 2-regular map；

【基金】 The NNSF (10271017, 60373030) of China.

【文献出处】 Northeastern Mathematical Journal ,东北数学(英文版) , 编辑部邮箱 ,2004年03期

【分类号】O157.5
【被引频次】1
【下载频次】12

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