The number of rooted circuit boundary maps |
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| Authors: | Yan Xu Yan Pei Liu |
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| Institution: | 1. School of Science, Tianjin Polytechnic University, Tianjin, 300160, P. R. China
2. Department of Mathematics, Beijing Jiaotong University, Beijing, 100044, P. R. China
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| Abstract: | In this article, the authors discuss two kinds of new planar maps: pan-fan maps and circuit boundary maps, and provide explicit
expressions about their enumerating functions with different parameters. Meanwhile, two explicit counting formulas for circuit
cubic boundary maps with two parameters: the size and the valency of the root-face, are also extracted. |
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| Keywords: | Rooted map enumerating function enumeration circuit boundary maps |
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