A quasi-random spanning tree model for the early river network

Details A quasi-random spanning tree model for the early river network A quasi-random spanning tree model for the early river network

1996-01-29

arxiv.org/abs/cond-mat/9601139v1

Phys. Rev. Lett. 76, 3460-3463 (1996)

Physics

Condensed Matter

10 pages, RevTex, 4 postscript figures, accepted in PRL

Scientific paper

10.1103/PhysRevLett.76.3460

We consider a model for the formation of a river network in which erosion process plays a role only at the initial stage. Once a global connectivity is achieved, no further evolution takes place. In spite of this, the network reproduces approximately most of the empirical statistical results of natural river network. It is observed that the resulting network is a spanning tree graph and therefore this process could be looked upon as a new algorithm for the generation of spanning tree graphs in which different configurations occur quasi-randomly. A new loop-less percolation model is also defined at an intermediate stage of evolution of the river network.

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