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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Connected Spatial Networks over Random Points and a Route-Length Statistic
David Aldous,Julian Shun +1 more
TL;DR: In this paper, the authors introduce and motivate a particular statistic measuring shortness of routes in a network, and illustrate the trade-off between normalized network length and $R$ in a one-parameter family of proximity graphs.
Journal ArticleDOI
Least-cost network evaluation of centralized and decentralized contributions to global electrification
Todd Levin,Valerie M. Thomas +1 more
TL;DR: In this article, the choice between centralized and decentralized electricity generation is examined for 150 countries as a function of population distribution, electricity consumption, transmission cost, and the cost difference between decentralized and centralized electricity generation.
Journal ArticleDOI
Networking?a statistical physics perspective
Chi Ho Yeung,David Saad +1 more
TL;DR: In this paper, the authors present an overview of tools and methods that have been developed within the statistical physics community and that can be readily applied to address the emerging problems in networking.
Journal ArticleDOI
Tumour growth is more dispersed in pancreatic head cancers than in rectal cancer: implications for resection margin assessment*
TL;DR: Tumour growth is more dispersed in pancreatic head cancers than in rectal cancer: implications for resection margin assessment.
Journal ArticleDOI
A near-optimal multicast scheme for mobile ad hoc networks using a hybrid genetic algorithm
TL;DR: A novel GA based on sequence and topology encoding (GAST) for multicasts protocol is introduced for multicast routing in wireless ad hoc networks and generalizes the GOP of tree-based multicast protocol as well as three associated operators.
References
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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.