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Decreasing verification radius in local certification

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21240%2F24%3A00378850" target="_blank" >RIV/68407700:21240/24:00378850 - isvavai.cz</a>

  • Result on the web

    <a href="https://link.springer.com/chapter/10.1007/978-3-031-74580-5_14" target="_blank" >https://link.springer.com/chapter/10.1007/978-3-031-74580-5_14</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/978-3-031-74580-5_14" target="_blank" >10.1007/978-3-031-74580-5_14</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Decreasing verification radius in local certification

  • Original language description

    This paper deals with local certification, specifically locally checkable proofs: given a graph property, the task is to certify whether a graph satisfies the property. The verification of this certification needs to be done locally without the knowledge of the whole graph. More precisely, a distributed algorithm, called a verifier, is executed on each vertex. The verifier observes the local neighborhood up to a constant distance and either accepts or rejects. We examine the trade-off between the visibility radius and the size of certificates. We describe a procedure that decreases the radius by encoding the neighbourhood of each vertex into its certificate. We also provide a corresponding lower bound on the required certificate size increase, showing that such an approach is close to optimal.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2024

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    Algorithmics of Wireless Networks

  • ISBN

    978-3-031-74579-9

  • ISSN

    0302-9743

  • e-ISSN

  • Number of pages

    14

  • Pages from-to

    188-201

  • Publisher name

    Springer, Cham

  • Place of publication

  • Event location

    Egham

  • Event date

    Sep 5, 2024

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article