On Resilient Graph Spanners

G. Ausiello; P. G. Franciosa; G. F. Italiano; A. Ribichini

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arXiv · 1303.1559

On Resilient Graph Spanners

G. Ausiello·P. G. Franciosa·G. F. Italiano·A. Ribichini

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Abstract

We introduce and investigate a new notion of resilience in graph spanners. Let $S$ be a spanner of a graph $G$. Roughly speaking, we say that a spanner $S$ is resilient if all its point-to-point distances are resilient to edge failures. Namely, whenever any edge in $G$ fails, then as a consequence of this failure all distances do not degrade in $S$ substantially more than in $G$ (i.e., the relative distance increases in $S$ are very close to those in the underlying graph $G$). In this paper we show that sparse resilient spanners exist, and that they can be computed efficiently.

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BibTeX RIS

G. Ausiello, P. G. Franciosa, G. F. Italiano, A. Ribichini. 2014-05-29. On Resilient Graph Spanners. https://arxiv.org/abs/1303.1559

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