| 可定向曲面上两个地图的交叉数 |
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| 引用本文： | 吴甬祥,任韩,徐图.可定向曲面上两个地图的交叉数[J].数学研究与评论,2011,31(4):643-648. |
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| 作者姓名： | 吴甬祥 任韩 徐图 |
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| 作者单位： | 波职业技术学院教学资源中心数学教研室, 浙江 宁波 315800;华东师范大学数学系, 上海 200062;华东师范大学数学系, 上海 200062 |
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| 基金项目： | 国家自然科学基金(Grant No.10671073),上海市自然科学基金 (Grant No.07XD14011). |
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| 摘 要： | In this paper, we discuss the crossing numbers of two one-vertex maps on orientable surfaces. By using a reductive method, we give the crossing number of two one-vertex maps with one face on an orientable surface and the crossing number of a one-vertex map with one face and a one-vertex map with two faces on an orientable surface. This provides a lower bound for the crossing number of two general maps on an orientable surface.
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| 关 键 词： | crossing number embedding orientable surface. |
| 收稿时间： | 2009/12/1 0:00:00 |
| 修稿时间： | 2010/11/20 0:00:00 |
The Crossing Number of Two-Maps on Orientable Surfaces |
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| Yong Xiang WU,Han REN and Tu XU.The Crossing Number of Two-Maps on Orientable Surfaces[J].Journal of Mathematical Research and Exposition,2011,31(4):643-648. |
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| Authors: | Yong Xiang WU Han REN and Tu XU |
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| Institution: | 1. Department of Mathematics Education Resource Center, Ningbo Polytechnic, Zhejiang, 315800, P.R.China
2. Department of Mathematics, East China Normal University, Shanghai, 200062, P.R.China |
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| Abstract: | In this paper, we discuss the crossing numbers of two one-vertex maps on orientable surfaces. By using a reductive method, we give the crossing number of two one-vertex maps with one face on an orientable surface and the crossing number of a one-vertex map with one face and a one-vertex map with two faces on an orientable surface. This provides a lower bound for the crossing number of two general maps on an orientable surface. |
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| Keywords: | crossing number embedding orientable surface |
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