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Chromatic Sums of Biloopless Nonseparable Near-Triangulations on the Projective Plane

Chromatic Sums of Biloopless Nonseparable Near-Triangulations on the Projective Plane
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摘要 In this paper, the chromatic sum functions of rooted biloopless nonsepavable 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. In this paper, the chromatic sum functions of rooted biloopless nonsepavable 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.
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2013年第1期123-134,共12页 应用数学学报(英文版)
基金 Supported by the National Natural Science Foundation of China (No. 10771225 10871021 71071016) Fundamental Research Funds for the Central Universities
关键词 chromatic sum function biloopless TRIANGULATION enumerating function chromatic sum function biloopless triangulation enumerating function
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