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Title Arch graphs
Author LECLERC Bruno
Keywords 2-tree, Algorithm, Cycle, Distance, Graph, Tree, Tree encoding
Topics Algorithms - Algorithmic Theory, Distances, Graphs, Trees
Abstract An arch-graph may be obtained from a simple edge by successive addings of 3-paths, grafted on their extremities. Equivalently, it admits no subgraph of which every vertex has degree at least three, and is maximal with this property, for a fixed number of vertices. It is known that a tree distance may be summarized by 2n-3 of its entries, conveniently chosen. Arch graphs with n vertices correspond to such sets of entries. They include the graphs of the so-called 2-tree type. We study these graphs, and the k-arch graphs and k-trees which naturally generalize them. It is recalled how a tree metric or function is associated to a valued arch graph, and the properties of this correspondence are investigated.
Number 157, Spring 2002
Language   French
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Title Grouping together variables values: an algorithm in implicative analysis
Author LAHANIER-REUTER Dominique
Keywords Algorithm, Distribution comparison, Implicative analysis
Topics Data Analysis, Pedagogy, Statistics
Abstract We develop an algorithm aimed at gathering variable values, in the frame of implicative data analysis. This procedure is presented in the case of one quantitative variable.
Number 154, Summer 2001, special issue: Implicative statistical analysis
Language   French
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