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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Proceedings ArticleDOI
Delay-Guaranteed Minimum Cost Forest for Uncertain Multicast
TL;DR: This paper characterizing and constructing the minimum cost forest (D-MCF) for any uncertain multicast, which satisfies the constraint of end-to-end delay, between any pair of source and destination in the resulting forest at the same time, and design two efficient algorithms, the partition algorithm (PA) and the combination algorithm (CA), to approximate the optimal solution.
Journal ArticleDOI
Clustering with minimum spanning trees: How good can it be?
TL;DR: In this article , the authors identify the upper bounds for the agreement between the best (oracle) algorithm and the expert labels from a large battery of benchmark data, and discover that MST methods can overall be very competitive.
Proceedings ArticleDOI
Automated Line Labelling: Dataset for Contour Detection and 3D Reconstruction
TL;DR: In this paper , the authors develop the first automatically generated contour labeled dataset, bypassing manual human labeling, and study the performance of current state-of-the-art instance segmentation algorithms on detecting and labeling the contours.
References
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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.