Scalability and the isomorphism problem

Judy Goldsmith, Steven Homer

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

Scalable sets are defined and their properties studied. It is shown that the set of scalable sets is the isomorphism closure of the set of rankable sets and that every scalable set is P-isomorphic to some rankable set. Scalable sets coincide with P-printable sets when sparse, and with P-paddable sets when thick. Using scalability as a tool, the P-isomorphism question for polynomial-time computable sets of similar densities is examined.

Original languageEnglish
Pages (from-to)137-143
Number of pages7
JournalInformation Processing Letters
Volume57
Issue number3
DOIs
StatePublished - Feb 12 1996

Bibliographical note

Funding Information:
* Corresponding author. Email: [email protected]. This research was supported in part by NSF grants CCR-9103055 and CCR-9400229. i This research was supportedi n part by NSF grants RII-9003056 and CCR-93 15354.

Funding

* Corresponding author. Email: [email protected]. This research was supported in part by NSF grants CCR-9103055 and CCR-9400229. i This research was supportedi n part by NSF grants RII-9003056 and CCR-93 15354.

FundersFunder number
National Science Foundation (NSF)CCR-9103055, CCR-93 15354, CCR-9400229, RII-9003056

    Keywords

    • Computational complexity

    ASJC Scopus subject areas

    • Theoretical Computer Science
    • Signal Processing
    • Information Systems
    • Computer Science Applications

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