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The Number of Rooted Circuit Boundary Maps

The Number of Rooted Circuit Boundary Maps
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摘要 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. 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.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2010年第9期1653-1666,共14页 数学学报(英文版)
关键词 Rooted map enumerating function ENUMERATION circuit boundary maps Rooted map, enumerating function, enumeration, circuit boundary maps
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  • 1Liu Yanpei.Enumerative Theory of Maps[]..1998

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