Probabilistic Properties of Topologies of Minimal Fillings of Finite Metric Spaces
- 31 Downloads
In this work, we provide a way to introduce a probability measure on the space of minimal fillings of finite additive metric spaces as well as an algorithm for its computation. The values of probability, obtained from the analytical solution, coincide with the computer simulation for the computed cases. Also the developed technique makes it possible to find the asymptotic of the ratio for families of graph structures.
KeywordsWeight Distribution Binary Tree Boundary Vertex Additive Space Steiner Minimal Tree
Unable to display preview. Download preview PDF.
- 4.A. O. Ivanov and A. A. Tuzhilin, Extreme Networks Theory [in Russian], Inst. Komp’yut. Issled., Moscow, Izhevsk (2003).Google Scholar
- 6.R. M. Karp, “Reducibility among combinatorial problems,” in: R. E. Miller and J. W. Thatcher, eds., Complexity of Computer Computations: Proc. of a Symp. on the Complexity of Computer Computations, IBM Res. Symp. Ser., Plenum, New York (1972), pp. 85–103.Google Scholar
- 7.Z. N. Ovsyannikov, “Generalized additive spaces,” in press.Google Scholar
- 8.K. A. Zareckiy, “Constructing a tree on the basis of a set of distances between the hanging vertices,” Usp. Mat. Nauk, 20, No. 6, 90–92 (1965).Google Scholar