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 classe
Grid spanners
β Scribed by Arthur L. Liestman; Thomas C. Shermer
- Publisher
- John Wiley and Sons
- Year
- 1993
- Tongue
- English
- Weight
- 837 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0028-3045
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π SIMILAR VOLUMES
A \(t\)-spanner of a pyramid network is a subnetwork in which every two nodes that were connected by an edge in the original pyramid can be connected by a path in the subnetwork with at most \(t\) edges. We give several results that present trade-offs between \(t\) and the maximum degree of a \(t\)-
A \(k\)-spanner of a connected graph \(G=(V, E)\) is a subgraph \(G^{\prime}\) consisting of all the vertices of \(V\) and a subset of the edges, with the additional property that the distance between any two vertices in \(G^{\prime}\) is larger than that distance in \(G\) by no more than a factor o