Journal ArticleDOI
On the History of the Minimum Spanning Tree Problem
Ron Graham,Pavol Hell +1 more
TLDR
There are several apparently independent sources and algorithmic solutions of the minimum spanning tree problem and their motivations, and they have appeared in Czechoslovakia, France, and Poland, going back to the beginning of this century.Abstract:
It is standard practice among authors discussing the minimum spanning tree problem to refer to the work of Kruskal(1956) and Prim (1957) as the sources of the problem and its first efficient solutions, despite the citation by both of Boruvka (1926) as a predecessor. In fact, there are several apparently independent sources and algorithmic solutions of the problem. They have appeared in Czechoslovakia, France, and Poland, going back to the beginning of this century. We shall explore and compare these works and their motivations, and relate them to the most recent advances on the minimum spanning tree problem.read more
Citations
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Dissertation
Model-based covariable decorrelation in linear regression (CorReg). Application to missing data and to steel industry
TL;DR: This thesis was motivated by correlation issues in real datasets, in particular industrial datasets, and stands in explicit modeling of the correlations between covariates by a structure of sub-regressions, that simply is a system of linear regressions between the covariates.
Journal ArticleDOI
Close-Proximity Analysis: Another Variation on the Minimum-Spanning-Tree Problem
Per Hage,Frank Harary +1 more
TL;DR: In this article, the problem of finding a minimum spanning tree with minimum value sum is considered. But the problem is not restricted to trees, it is also applicable to graphs, as shown in Figure 1.
The upper talocalcanean join
Boris Odehnal,Hellmuth Stachel +1 more
TL;DR: In order to build protheses that simulate the motion of the UTJ, the geometry of the two surfaces FAIT and FAST, respectively are studied, using line geometric methods to best approximating linear line complexes and compute the axis of the thus determined helical motion.
Dissertation
Graph-based segmentation and scene understanding for context-free point clouds
TL;DR: The overall results demonstrate that the context-agnostic methods presented in this work can be successfully employed to manage the complexity of ever growing repositories.
Journal ArticleDOI
Overview of network-based methods for analyzing financial markets
TL;DR: This study reviews literature discussing the time evolution of the observed phenomena from a network perspective, as well as applications in economy and finance, ranging from risk and diversification, through policy making and better understanding crisis impact, to forecasting.
References
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Journal ArticleDOI
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Hierarchical clustering schemes
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Journal ArticleDOI
Shortest connection networks and some generalizations
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Book
Principles of numerical taxonomy
Robert R. Sokal,P.H.A. Sneath +1 more
TL;DR: The authors continued the story of psychology with added research and enhanced content from the most dynamic areas of the field, such as cognition, gender and diversity studies, neuroscience and more, while at the same time using the most effective teaching approaches and learning tools.