Title
Approximation Through Local Optimality: Designing Networks with Small Degree
Abstract
We give quasipolynomial-time approximation algorithms for designing networks with minimum degree. Using our methods, one can design one-connected networks to meet a variety of connectivity requirements. The degree of the output network is guaranteed to be at most (1+ε) times optimal, plus an additive error of O(log n/ε) for any εs0. We also provide a quasipolynomial-time approximation algorithm for designing a two-edge-connected spanning subgraph of a given two-edge-connected graph of approximately minimum degree. The performance guarantee is identical to that for one-connected networks.
Year
DOI
Venue
1992
10.1007/3-540-56287-7_112
FSTTCS
Keywords
Field
DocType
small degree,designing networks,local optimality,connected graph,optimal design
Binary logarithm,Discrete mathematics,Graph,Approximation algorithm,Spanning subgraph,Combinatorics,Computer science,Steiner tree problem,Performance guarantee
Conference
Volume
ISSN
ISBN
652
0302-9743
3-540-56287-7
Citations 
PageRank 
References 
12
1.48
6
Authors
3
Name
Order
Citations
PageRank
R. Ravi12898275.40
Balaji Raghavachari2100177.77
Philip N. Klein32681256.19