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1IntroductionAsurfaceisacompactclosed2-manifold.Theorielltable(non-orielltable)surfaceofgenuskisthespherewitllkhandles(crosscaPs)denotedbySk(Nk).AmapMollSk(Nk)meansthatitsunderlyinggraphnlaybedrownou(embeddedin)itsuchthatllthpairofedgesintersectataninnerpoilltalldeachfaceishomeomorphictothedisc.Amapisrootedifanedgewithadirectiollalongtheedge,alldasideoftl1eedgeisdistinguisl1ed.Tworootedmapsareconsideredtobethesal11eifthereisanisomorphismpreserviIlgtl1erooting.ArootedEuleriall1llapissuchaon… 相似文献
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柱面上的三角剖分是一类与环面上的地图紧密相关的地图.本文提供了一个计算柱面上有根近三角剖分的具有三个变量的精确公式. 相似文献
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In this article the rooted planar near-4-regular Eulerian trails are enumerated and an explicit formula for such maps is presented. Further, the rooted near-4-regular Eulerian maps on the torus are counted in an exact way. 相似文献
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1IntroductionAp1anarmaPisrootedifauedgeandadirectionalongonesideofitaredistinguished;atriangulationissucharootedplanarmapwhosefaCesareall3-gons;anear-triangulationonthe8phereordiscisarootednonseparableplanarmapsuchthatallofitsfacesexceptpossiblytheroot-faCehavevalencythree.TheenumerationoftriangulationswasfitStintroducedbyTUtteinthebeginningofsixtiesIv9].Infact,thetopicsheworkedweremuchconcentratedonplanartriangularmapsforthesakeofattackingFourColorProblem.Manyelegantresultsrelatedtononsep… 相似文献
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In this paper, general functional equations of rooted essential maps on surfaces (orientable and nonorientable) are deduced and their formal solutions are presented. Further, three explicit for- mulae for counting essential maps on S2,N3 andN4 are given. In the same time, some known results can be derived. 相似文献
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RenHan LiuYanpei 《高校应用数学学报(英文版)》1999,14(3):245-250
In this article the rooted planar near-4-regular Eulerian trails are enumerated and an explicit formula for such maps is presented. Further, the rooted near-4-regular Eulerian maps on the torus are counted in an exact way. 相似文献
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