In this paper we study the Forest Wrapping Problem (FWP) which can be stated as follows: given a connected graph G = (V,E), with |V | = n, let \pi^0 be a partition of G into K (not necessarily connected) components, find a connected partition \pi∗ of G that wraps \pi^0 and has maximum number of components. The Forest Wrapping problem is NP-complete on grid graphs while is solvable in O(n log n) time on ladder graphs. We provide a two-phase O(n2) time algorithm for solving FWP on outerplanar graphs.

The Forest Wrapping Problem on Outerplanar Graphs / Lari, Isabella; Ricca, Federica; A., Scozzari. - STAMPA. - 2573:(2002), pp. 343-352. [10.1007/3-540-36379-3]

The Forest Wrapping Problem on Outerplanar Graphs

LARI, Isabella;RICCA, Federica;
2002

Abstract

In this paper we study the Forest Wrapping Problem (FWP) which can be stated as follows: given a connected graph G = (V,E), with |V | = n, let \pi^0 be a partition of G into K (not necessarily connected) components, find a connected partition \pi∗ of G that wraps \pi^0 and has maximum number of components. The Forest Wrapping problem is NP-complete on grid graphs while is solvable in O(n log n) time on ladder graphs. We provide a two-phase O(n2) time algorithm for solving FWP on outerplanar graphs.
2002
Outerplanar graphs; Connected partition; Steiner Forest; Maximum Split Clustering.
01 Pubblicazione su rivista::01a Articolo in rivista
The Forest Wrapping Problem on Outerplanar Graphs / Lari, Isabella; Ricca, Federica; A., Scozzari. - STAMPA. - 2573:(2002), pp. 343-352. [10.1007/3-540-36379-3]
File allegati a questo prodotto
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/142406
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 3
  • ???jsp.display-item.citation.isi??? 3
social impact