caa a22 4500 445391987 CHVBK 20180317143049.0 cr unu---uuuuu 170323e20110201xx s 000 0 eng 10.1007/s10955-011-0125-y doi (NATIONALLICENCE)springer-10.1007/s10955-011-0125-y Power-Law Behavior in Geometric Characteristics ofFull Binary Trees [Elektronische Daten] [Kyungrock Paik, Praveen Kumar] Natural river networks exhibit regular scaling laws in their topological organization. Here, we investigate whether these scaling laws are unique characteristics of river networks or can be applicable to general binary tree networks. We generate numerous binary trees, ranging from purely ordered trees to completely random trees. For each generated binary tree, we analyze whether the tree exhibits any scaling property found in river networks, i.e., the power-laws in the size distribution, the length distribution, the distance-load relationship, and the power spectrum of width function. We found that partially random trees generated on the basis of two distinct types of deterministic trees, i.e., deterministic critical and supercritical trees, show contrasting characteristics. Partially random trees generated on the basis of deterministic critical trees exhibit all power-law characteristics investigated in this study with their fitted exponents close to the values observed in natural river networks over a wide range of random-degree. On the other hand, partially random trees generated on the basis of deterministic supercritical trees rarely follow scaling laws of river networks. Springer Science+Business Media, LLC, 2011 Self-similarity nationallicence Binary tree nationallicence Network topology nationallicence Hack's law nationallicence Fractals nationallicence Complex network nationallicence Paik Kyungrock School of Civil, Environmental, and Architectural Engineering, Korea University, Anam-dong 5 ga, Seongbuk-gu, 136-713, Seoul, Korea aut Kumar Praveen Environmental Hydrology and Hydraulic Engineering, Department of Civil and Environmental Engineering, University of Illinois, 61801, Urbana, IL, USA aut Journal of Statistical Physics Springer US; http://www.springer-ny.com 142/4(2011-02-01), 862-878 0022-4715 142:4<862 2011 142 10955 https://doi.org/10.1007/s10955-011-0125-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-011-0125-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Paik Kyungrock School of Civil, Environmental, and Architectural Engineering, Korea University, Anam-dong 5 ga, Seongbuk-gu, 136-713, Seoul, Korea aut NATIONALLICENCE 700 1- Kumar Praveen Environmental Hydrology and Hydraulic Engineering, Department of Civil and Environmental Engineering, University of Illinois, 61801, Urbana, IL, USA aut NATIONALLICENCE 773 0- Journal of Statistical Physics Springer US; http://www.springer-ny.com 142/4(2011-02-01), 862-878 0022-4715 142:4<862 2011 142 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer