On the order of random channel networks. (English) Zbl 0496.94020


94C15 Applications of graph theory to circuits and networks


river network
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[1] Cayley, A., On the analytical forms called trees, Philos. Mag., 28, 374, (1858)
[2] Bellman, Richard, A brief introduction to theta functions, (1961) · Zbl 0098.28301
[3] Bergs, C., The Theory of Graphs and its Applications, (1962) · Zbl 0097.38903
[4] Bromwich, T. J., An Introduction to the Theory of Infinite Series, (1931) · Zbl 0004.00705
[5] Harary, F.; Palmer, E., Graphical enumeration, (1973) · Zbl 0266.05108
[6] Horton, R. E., Erosional development of streams and their drainage basins: hydrophysical approach to quantitative morphology, Geol. Soc. Amer. Bull., 56, 275, (1945)
[7] Scheidegger, A. E., Theoretical Geomorphology, (1961)
[8] Shreve, R. L., Statistical law of stream numbers, J. Geology, 74, 17, (1966)
[9] Smart, J. S.; Chow, V. T., Channel networks, Advances in Hydrosciences, 8, 305, (1972), Academic Press, New York
[10] Smart, J. S.; Werner, C., Applications of the random model of drainage basin composition, Earth Surface Processes, 1, 219, (1976)
[11] Szego˝, Gábor, Orthogonal polynomials, (1975) · Zbl 0305.42011
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