Average competitive ratios of on-line spanning trees
โ Scribed by Feng Bao; Aohan Mei; Yoshihide Igarashi
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 284 KB
- Volume
- 62
- Category
- Article
- ISSN
- 0020-0190
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โฆ Synopsis
We study the average competitive ratio of on-line spanning trees with the same distribution of points in the Euclidean plane. We show a distribution of n points such that the average competitive ratio of on-line spanning trees by any on-line algorithm cannot be less than 4 In n -f . @ 1997 Elsevier Science B.V.
๐ SIMILAR VOLUMES
Let 3:; denote the set of simple graphs with n vertices and m edges, t ( G ) the number of spanning trees of a graph G , and F 2 H if t(K,\E(F))?t(K,\E(H)) for every s? max{u(F), u ( H ) } . We give a complete characterization of >-maximal (maximum) graphs in 3:; subject to m 5 n . This result conta
The use of multiple independent spanning trees (ISTs) for data broadcasting in networks provides a number of advantages, including the increase of fault-tolerance and bandwidth. Thus, the designs of multiple ISTs on several classes of networks have been widely investigated. Tang et al. [S.-M. Tang,