Feedback vertex set in hypercubes

Riccardo Focardi, Flaminia L. Luccio, David Peleg

Research output: Contribution to journalArticlepeer-review

58 Scopus citations

Abstract

Given a graph G = (V,E), the minimum feedback vertex set V̄ is a subset of vertices of minimum size whose removal induces an acyclic subgraph G′ = (V/V̄, E′). The problem of finding V̄ is NP-hard for general networks but interesting polynomial solutions have been found for particular graph classes. In this paper we find close upper and lower bounds to the size of V̄ in a k-dimensional hypercube.

Original languageEnglish
Pages (from-to)1-5
Number of pages5
JournalInformation Processing Letters
Volume76
Issue number1-2
DOIs
StatePublished - 20 Nov 2000
Externally publishedYes

Bibliographical note

Funding Information:
*Corresponding author. Supported in part by MURST, Progetto “Certificazione automatica di programmi mediante interpretazione astratta”. E-mail addresses: [email protected] (R. Focardi), [email protected] (F.L. Luccio), [email protected] (D. Peleg).

Funding Information:
2 Supported in part by a grant from the Israel Ministry of Science and Art.

Funding

*Corresponding author. Supported in part by MURST, Progetto “Certificazione automatica di programmi mediante interpretazione astratta”. E-mail addresses: [email protected] (R. Focardi), [email protected] (F.L. Luccio), [email protected] (D. Peleg). 2 Supported in part by a grant from the Israel Ministry of Science and Art.

FundersFunder number
Israel Ministry of Science and Art
MURST

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