On the structure of arbitrarily partitionable graphs with given connectivity - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2012

On the structure of arbitrarily partitionable graphs with given connectivity

Résumé

A graph G = (V,E) is arbitrarily partitionable if for any sequence τ of positive integers adding up to |V|, there is a sequence of vertex-disjoints subsets of V whose orders are given by τ, and which induce connected subgraphs. In this paper, we focus on the number and the sizes of the components of an arbitrarily partitionable graph after removing a cutset.
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Dates et versions

hal-00690253 , version 1 (22-04-2012)
hal-00690253 , version 2 (27-04-2012)
hal-00690253 , version 3 (30-04-2012)
hal-00690253 , version 4 (09-05-2012)
hal-00690253 , version 5 (25-05-2012)
hal-00690253 , version 6 (29-06-2012)
hal-00690253 , version 7 (20-09-2012)
hal-00690253 , version 8 (24-04-2013)
hal-00690253 , version 9 (26-04-2013)

Identifiants

  • HAL Id : hal-00690253 , version 6

Citer

Olivier Baudon, Florent Foucaud, Jakub Przybylo, Mariusz Woźniak. On the structure of arbitrarily partitionable graphs with given connectivity. 2012. ⟨hal-00690253v6⟩
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