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Distance Labeling Scheme and Split Decomposition

Cyril Gavoille Christophe Paul 1
1 ALGCO - Algorithmes, Graphes et Combinatoire
LIRMM - Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier
Abstract : A distance labeling scheme is a distributed data-structure designed to answer queries about distance between any two vertices of a graph G. The data-structure consists in a label L(x,G) assigned to each vertex x of G such that the distance dG(x, y) between any two vertices x and y can be estimated as a function f(L(x,G),L(y,G)). In this paper we combine several types of distance labeling schemes and split decomposition of graphs. This yields to optimal label length schemes for the family of distance-hereditary graphs and for other families of graphs, allowing distance estimation in constant time once the labels have been constructed.
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https://hal-lirmm.ccsd.cnrs.fr/lirmm-00090364
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Submitted on : Wednesday, August 30, 2006 - 11:59:29 AM
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Cyril Gavoille, Christophe Paul. Distance Labeling Scheme and Split Decomposition. 01222, 2001. ⟨lirmm-00090364⟩

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