Graph spanners
✍ Scribed by David Peleg; Alejandro A. Schäffer
- Publisher
- John Wiley and Sons
- Year
- 1989
- Tongue
- English
- Weight
- 816 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
✦ Synopsis
Given a graph G = (V E), a subgraph G' = (V E ' ) is a t-spanner of G if for every u, u E V the distance from u to u in G' is at most t times longer than that distance in G. This paper presents some results concerning the existence and efficient constructability of sparse spanners for various classes of graphs, including general undirected graphs, undirected chordal graphs, and general directed graphs.
📜 SIMILAR VOLUMES
In a graph G, a spanning tree T is called a tree t-spanner of G if the distance between any two vertices in T is at most t times their distance in G. While the complexity of finding a tree t-spanner of a given graph is known for any fixed t 3, the case t ϭ 3 still remains open. In this article, we s