Spanning trees in two dimensions

Manna, S. S. ; Dhar, Deepak ; Majumdar, S. N. (1992) Spanning trees in two dimensions Physical Review A, 46 (8). R4471-R4474. ISSN 1050-2947

Full text not available from this repository.

Official URL:

Related URL:


We describe the results of an analytical and numerical study of the geometrical properties of random spanning trees on a square lattice. We determine exactly the probability distribution of the coordination number at a site on a random spanning tree. We argue that the probability that s sites get disconnected from the tree on deleting a bond at random from the tree varies as s for large s. The probability that a loop of perimeter l is formed on adding an additional link at random varies as l for large l. These distributions are also determined numerically in a Monte Carlo simulation on random spanning trees generated by using Broder's algorithm. The numerical results are in complete agreement with the theoretical predictions.

Item Type:Article
Source:Copyright of this article belongs to American Physical Society.
ID Code:9359
Deposited On:02 Nov 2010 12:22
Last Modified:08 Feb 2011 08:52

Repository Staff Only: item control page