Combinatorial tools for the analysis of ramified patterns
Combinatorial tools for the analysis of ramified patterns
复制标题
用于分析分支模式的组合工具
DOI：
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发表时间：
1989
期刊：
影响因子：
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通讯作者：
X. Viennot
中科院分区：
文献类型：
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作者：
J. Vannimenus;X. Viennot
Tree-like patterns appear in many domains of physics and the quantitative description of their morphology raises an interesting problem. To analyze their topological structure, we introduce combinatorial concepts, the bifurcation and length ratios and the ramification matrix, which generalize ideas originating in hydrogeology. Two-dimensional diffusion-limited aggregation (DLA) patterns are studied along these lines, and their statistical combinatorial properties are compared to those of random and growing binary trees and to experimental data for injection of water in clay.
