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http://dx.doi.org/10.4134/BKMS.2007.44.2.259

ON NUMBER OF WAYS TO SHELL THE k-DIMENSIONAL TREES  

Chae, Gab-Byung (DEPARTMENT OF MATHEMATICS YONSEI UNIVERSITY)
Cheong, Min-Seok (DEPARTMENT OF MATHEMATICS SOGANG UNIVERSITY)
Kim, Sang-Mok (DIVISION OF GENERAL EDUCATION-MATHEMATICS KWANGWOON UNIVERSITY)
Publication Information
Bulletin of the Korean Mathematical Society / v.44, no.2, 2007 , pp. 259-263 More about this Journal
Abstract
Which spheres are shellable?[2]. We present one of them which is the k-tree with n-labeled vertices. We found that the number of ways to shell the k-dimensional trees on n-labeled vertices is $$\frac{n!}{(k+1)!}(nk-k^2-k+1)!k$$.
Keywords
k-tree; recursive k-tree; shell;
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