Title
An average case analysis of the minimum spanning tree heuristic for the power assignment problem.
Abstract
We present an average case analysis of the minimum spanning tree heuristic for the power assignment problem. The worst-case approximation ratio of this heuristic is 2. We show that in Euclidean d-dimensional space, when the vertex set consists of a set of i.i.d. uniform random independent, identically distributed random variables in [0,1](d), and the distance power gradient equals the dimension d, the minimum spanning tree-based power assignment converges completely to a constant depending only on d.
Year
DOI
Venue
2019
10.1002/rsa.20831
RANDOM STRUCTURES & ALGORITHMS
Keywords
DocType
Volume
ad-hoc networks,analysis of algorithms,approximation algorithms,average case analysis,point processes,power assignment,range assignment
Journal
55.0
Issue
ISSN
Citations 
1.0
1042-9832
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
Maurits De Graaf1309.05
Richard J. Boucherie231137.73
Johann L. Hurink315421.00
Jan-kees C. W. Van Ommeren4738.53