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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OUP accepted manuscript
TL;DR: CADDIE as discussed by the authors is a web application integrating six human gene-gene and four druggene interaction databases, information regarding cancer driver genes, cancer type specific mutation frequencies, gene expression information, genetically related diseases, and anticancer drugs.
Posted Content
Design of homogenous territorial units: a methodological proposal
Juan Carlos Duque,Raül Ramos +1 more
TL;DR: In this article, an optimization model is proposed with the aim of identifying homogenous territorial units related with the analyzed phenomena, taking into account the contiguity constraint among the different elements to be grouped.
Journal Article
Constructing knowledge in graph theory and combinatorial optimization
TL;DR: A case study is described which introduces the minimum spanning tree problem, its remarkable origin, and then its relation to the other problems.
Proceedings ArticleDOI
Solving Degree-constrained Minimum Spanning Tree with a New Algorithm
TL;DR: A new algorithm is designed for the degree-constrained minimum spanning tree (DCMST) of a graph that employs the properties of the problem to remove the pendant vertexes and gets a tree satisfying all the constraints of DCMST.
Spanning Tree Problem of Uncertain Network
Jin Peng,Shengguo Li +1 more
TL;DR: A 99-table algorithm for finding the inverse uncertainty distribution of uncertain spanning tree is given and three types of minimum spanning tree models for uncertain network are proposed, i.e., expected minimum spanningTree, α-minimum spanning tree, and distribution minimum spanning Tree.
References
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Journal ArticleDOI
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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.