Steele (1988 , Ann. Probab. 16, 1767-1787) has proved that the total length of several combinatorial optimization problems in R p involving trees with n nodes and -power-weighted edges is asymptotically c(p; )n (p-)=p , where 0 Β‘ 6p. In this paper we obtain bounds for these constants and give esti
Estimating the length of minimal spanning trees in compression of files
β Scribed by J. Ernvall; O. Nevalainen
- Publisher
- Springer Netherlands
- Year
- 1984
- Tongue
- English
- Weight
- 664 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0006-3835
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Penrose has given asymptotic results for the distribution of the longest edge of the minimal spanning tree and nearest neighbour graph for sets of multivariate uniformly or normally distributed points. We investigate the applicability of these results to samples of up to 100 points, in up to 10 dime
## Abstract The theorem of Gutman et al. (1983) is applied to calculate the number of spanning trees in the carbonβcarbon connectivityβnetwork of the recently diagnosed C~60~βcluster buckminsterfullerene. This βcomplexityβ turns out to be approximately 3.75 Γ 10^20^ and it is found necessary to inv