| COUNTING ROOTED EULERIAN MAPS ON THE PROJECTIVE PLANE |
| |
| 作者姓名： | 任韩 刘彦佩 |
| |
| 作者单位： | Department of Mathematics，Northern Jiaotong University，Beijing 100044，China |
| |
| 摘 要： | 1IntroductionAsurfaceisacompactclosed2-manifold.Theorielltable(non-orielltable)surfaceofgenuskisthespherewitllkhandles(crosscaPs)denotedbySk(Nk).AmapMollSk(Nk)meansthatitsunderlyinggraphnlaybedrownou(embeddedin)itsuchthatllthpairofedgesintersectataninnerpoilltalldeachfaceishomeomorphictothedisc.Amapisrootedifanedgewithadirectiollalongtheedge,alldasideoftl1eedgeisdistinguisl1ed.Tworootedmapsareconsideredtobethesal11eifthereisanisomorphismpreserviIlgtl1erooting.ArootedEuleriall1llapissuchaon…
|
COUNTING ROOTED EULERIAN MAPS ON THE PROJECTIVE PLANE |
| |
| REN Han,Liu Yanpei.COUNTING ROOTED EULERIAN MAPS ON THE PROJECTIVE PLANE[J].Acta Mathematica Scientia,2000,20(2). |
| |
| Authors: | REN Han Liu Yanpei |
| |
| Abstract: | It is well known that any kind of exact enumeratiolls of rooted maps on nonplanar surface is quite difficult. This paper presents a functional equation for rootedEulerian maps on the projective plane. A parametric expression, through which an exactenumeration by root-valency and the number of edges of maps may be determined, isobtained. |
| |
| Keywords: | (rooted)Map surface Lagrangian inversion enufunction |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
