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EnglishWe introduce the (k,ℓ)-self-spanners graphs to model non-reliable interconnection networks. Such networks can be informally characterized as follows: if at most ℓ edges have failed, as long as two vertices remain connected, the distance between these vertices in the faulty graph is at most k times the distance in the non-faulty graph. By fixing the values k and ℓ (called stretch factor and fault-tolerance, respectively), we obtain specific new graph classes. We first provide characterizational, structural, and computational results for these classes. Then, we study relationships between the introduced classes and special graphs classes (distance-hereditary graphs, cographs, and chordal graphs), and common network topologies (grids, tori, hypercubes, butterflies, and cube-connected cycles) as well.
| Titolo: | Self-spanner graphs | |
| Autori: | ||
| Data di pubblicazione: | 2005 | |
| Rivista: | ||
| Abstract: | We introduce the (k,ℓ)-self-spanners graphs to model non-reliable interconnection networks. Such networks can be informally characterized as follows: if at most ℓ edges have failed, as long as two vertices remain connected, the distance between these vertices in the faulty graph is at most k times the distance in the non-faulty graph. By fixing the values k and ℓ (called stretch factor and fault-tolerance, respectively), we obtain specific new graph classes. We first provide characterizational, structural, and computational results for these classes. Then, we study relationships between the introduced classes and special graphs classes (distance-hereditary graphs, cographs, and chordal graphs), and common network topologies (grids, tori, hypercubes, butterflies, and cube-connected cycles) as well. | |
| Handle: | http://hdl.handle.net/11697/4937 | |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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