# Path Separability of Graphs

2 CEPAGE - Algorithmics for computationally intensive applications over wide scale distributed platforms
Université Sciences et Technologies - Bordeaux 1, Inria Bordeaux - Sud-Ouest, École Nationale Supérieure d'Électronique, Informatique et Radiocommunications de Bordeaux (ENSEIRB), CNRS - Centre National de la Recherche Scientifique : UMR5800
Abstract : In this paper we investigate the structural properties of $k$-path separable graphs, that are the graphs that can be separated by a set of $k$ shortest paths. We identify several graph families having such path separability, and we show that this property is closed under minor taking. In particular we establish a list of forbidden minors for $1$-path separable graphs.
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Cited literature [12 references]

https://hal.archives-ouvertes.fr/hal-00507833
Contributor : Cyril Gavoille <>
Submitted on : Wednesday, September 22, 2010 - 7:01:19 PM
Last modification on : Tuesday, February 9, 2021 - 3:00:04 PM
Long-term archiving on: : Thursday, December 1, 2016 - 10:08:11 PM

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• HAL Id : hal-00507833, version 3

### Citation

Emilie Diot, Cyril Gavoille. Path Separability of Graphs. 2010. ⟨hal-00507833v3⟩

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