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Terse walk sets in graphs and induced closure operators

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26230%2F17%3APU126476" target="_blank" >RIV/00216305:26230/17:PU126476 - isvavai.cz</a>

  • Result on the web

    <a href="http://www.fit.vutbr.cz/research/pubs/all.php?id=11591" target="_blank" >http://www.fit.vutbr.cz/research/pubs/all.php?id=11591</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.topol.2017.08.046" target="_blank" >10.1016/j.topol.2017.08.046</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Terse walk sets in graphs and induced closure operators

  • Original language description

    Given a graph G, for every ordinal a > 1, we introduce and study closure operators on G induced by sets of a-indexed walks. For such sets, we define a property called terseness and investigate how it affects the induced closure operators. We show, among others, that the induction, if regarded as a map, is one-to-one for terse walk sets. We also determine a poset of closure operators (on a given graph) that is a direct limit of a direct system of sets of terse a-indexed walks ordered by set inclusion for certain ordinals a > 1. Possible applications of the closure operators studied in digital topology are indicated.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • 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

    <a href="/en/project/LQ1602" target="_blank" >LQ1602: IT4Innovations excellence in science</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2017

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Topology and its Applications

  • ISSN

    0166-8641

  • e-ISSN

    1879-3207

  • Volume of the periodical

    230

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    NL - THE KINGDOM OF THE NETHERLANDS

  • Number of pages

    9

  • Pages from-to

    258-266

  • UT code for WoS article

    000413130900024

  • EID of the result in the Scopus database

    2-s2.0-85028932508