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| Chromatic Enumeration for Rooted Outerplanar Maps Liu Yanfiei |
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Citation： |
Liu Yanpei.Chromatic Enumeration for Rooted Outerplanar Maps Liu Yanfiei[J].Chinese Annals of Mathematics B,1990,11(4):491~502 |
| Page view： 749
Net amount： 775 |
Authors： |
Liu Yanpei; |
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| Abstract： |
Let G(m, s, t; \lambda)be the number of ways of \lambda-coloring all the rooted nonseparable outerplanar maps which are simple and have the edge number m, the valency s of the root-face, and the valency t of the root-vertex. The chromatic enumerating, function
$g(x,y,z;\lambda)=\sum\limits_{m\geq 1,s\geq 2,t\geq 2}{G(m,s,t;\lambda)x^my^sz^t$
is determined. Meanwhile, a number of explicit formulae for enumerating this kindof maps in general case and in bipartite ease are provided. |
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