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Chromatic sums of biloopless nonseparable near-triangulations on the projective plane |
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| Authors: | Zhao-xiang Li Yan-pei Liu Bing-feng Si |
| Institution: | 1197. Department of Mathematics, Minzu University of China, Beijing, 100081, China 2197. Department of Mathematics, Beijing Jiaotong University, Beijing, 100044, China 3197. School of Traffic and Transportation, Beijing Jiaotong University, Beijing, 100044, China |
| Abstract: | In this paper, the chromatic sum functions of rooted biloopless nonseparable near-triangulations on the sphere and the projective plane are studied. The chromatic sum function equations of such maps are obtained. From the chromatic sum equations of such maps, the enumerating function equations of such maps are derived. An asymptotic evaluation and some explicit expression of enumerating functions are also derived. |
| Keywords: | chromatic sum function biloopless triangulation enumerating function |
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