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Journal ArticleDOI

On the History of the Minimum Spanning Tree Problem

Ron Graham, +1 more
- 01 Jan 1985 - 
- Vol. 7, Iss: 1, pp 43-57
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.

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Citations
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Journal ArticleDOI

Alleviating Class-Wise Gradient Imbalance for Pulmonary Airway Segmentation

TL;DR: In this article, a General Union loss function was proposed to avoid the impact of airway size by distance-based weights and adaptively tune the gradient ratio based on the learning process.
Journal ArticleDOI

Clustering Techniques for Secondary Substations Siting

TL;DR: K-means algorithm, hierarchical agglomerative clustering, and a method based on optimal weighted tree partitioning are adapted to the problem and run on two real case studies, with different population densities.
Journal ArticleDOI

ShuTu: Open-Source Software for Efficient and Accurate Reconstruction of Dendritic Morphology

TL;DR: ShuTu is a new software package that facilitates accurate and efficient reconstruction of dendrites imaged using bright-field microscopy and allows neurons with complex dendritic morphologies to be reconstructed rapidly and efficiently, thus facilitating the use of computer models to study dendrite structure-function relationships and the computations performed by single neurons.
Journal ArticleDOI

Spanning tree trajectory optimization in the galaxy space

TL;DR: A layout-first topology-second approach that allows an efficient settlement tree search guided by the pre-specified ideal spatial distribution is presented and the possibility that a greedy search can generate even better settlement trees, based on the same initial conditions, when compared to that of the winning solution.
Proceedings ArticleDOI

Clustering Motion for Real-Time Optical Flow Based Tracking

TL;DR: This paper proposes an interest point selection method that takes into account the motion of previously tracked points in order to constrain the number of point trajectories needed, and achieves a very efficient clustering.
References
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Journal ArticleDOI

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Journal ArticleDOI

Shortest connection networks and some generalizations

TL;DR: In this paper, the basic problem of interconnecting a given set of terminals with a shortest possible network of direct links is considered, and a set of simple and practical procedures are given for solving this problem both graphically and computationally.
Book

Principles of numerical taxonomy

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.