Genus distribution of ladder type and cross type graphs |
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| Authors: | LiangXia Wan KeQin Feng YanPei Liu DianJun Wang |
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| Institution: | (1) Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, China;(2) Department of Mathematics, Beijing Jiaotong University, Beijing, 100044, China |
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| Abstract: | In this paper a method is given to calculate the explicit expressions of embedding genus distribution for ladder type graphs
and cross type graphs. As an example, we refind the genus distribution of the graph J
n
which is the first class of graphs studied for genus distribution where its genus depends on n.
This work was supported National Natural Science Foundation of China (Grant Nos. 10571013, 60433050) and the State Key Development
Program of Basic Research of China (Grant No. 2004CB318004) |
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| Keywords: | embedding genus distribution joint tree surface genus |
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