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

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 su...

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Bibliographic Details
Published inActa Mathematicae Applicatae Sinica Vol. 29; no. 1; pp. 123 - 134
Main Authors Li, Zhao-xiang, Liu, Yan-pei, Si, Bing-feng
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer-Verlag 2013
Subjects
Applications of Mathematics
Math Applications in Computer Science
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Theoretical
三角剖分
不可分
函数方程
地图
射影平面
方程推导
球面
计数函数
05C10
triangulation
enumerating function
05C45
05C30
chromatic sum function
biloopless
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Summary: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.
Bibliography: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.
11-2041/O1
chromatic sum function; biloopless; triangulation; enumerating function
ISSN:0168-9673
1618-3932
DOI:10.1007/s10255-013-0197-3