Improved Approximations for Weighted and Unweighted Graph Problems
โ Scribed by Marc Demange; Vangelis Paschos
- Publisher
- Springer
- Year
- 2004
- Tongue
- English
- Weight
- 322 KB
- Volume
- 38
- Category
- Article
- ISSN
- 1433-0490
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
A linear arrangement of an n-vertex graph G = V E is a one-one mapping f of the vertex set V onto the set n = 0 1 n -1 . The bandwidth of this linear arrangement is the maximum difference between the images of the endpoints of any edge in E G . When the input graph G is a tree, the best known approx
The problem of finding a minimum augmenting edge-set to make a graph k-vertex connected is considered. This problem is denoted as the minimum k-augmentation problem. For weighted graphs, the minimum k-augmentation problem is NP-complete. Our main result is an approximation algorithm with a performan
## Abstract A multigraph is (__k__,__r__)โdense if every __k__โset spans at most __r__ edges. What is the maximum number of edges ex~โ~(__n__,__k__,__r__) in a (__k__,__r__)โdense multigraph on __n__ vertices? We determine the maximum possible weight of such graphs for almost all __k__ and __r__ (e