Title
Packing Plane Spanning Graphs with Short Edges in Complete Geometric Graphs
Abstract
Given a set of points in the plane, we want to establish a connected spanning graph between these points, called connection network, that consists of several disjoint layers. Motivated by sensor networks, our goal is that each layer is connected, spanning, and plane. No edge in this connection network is too long in comparison to the length needed to obtain a spanning tree.
Year
DOI
Venue
2019
10.1016/j.comgeo.2019.04.001
Computational Geometry
Keywords
Field
DocType
Geometric graphs,Graph packing,Plane graphs,Minimum spanning tree,Bottleneck edge
Graph,Discrete mathematics,Combinatorics,Distributed element model,Disjoint sets,Vertex (geometry),Spanning tree,Wireless sensor network,Mathematics
Journal
Volume
ISSN
Citations 
82
0925-7721
0
PageRank 
References 
Authors
0.34
0
8
Name
Order
Citations
PageRank
Oswin Aichholzer185296.04
Thomas Hackl213822.95
Matias Korman317837.28
Alexander Pilz45917.67
Günter Rote51181129.29
André van Renssen634.74
Marcel Roeloffzen7185.55
Birgit Vogtenhuber812727.19