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Walk-set induced connectedness in digital spaces

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26230%2F17%3APU126475" target="_blank" >RIV/00216305:26230/17:PU126475 - isvavai.cz</a>

  • Result on the web

    <a href="http://carpathian.ubm.ro" target="_blank" >http://carpathian.ubm.ro</a>

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Walk-set induced connectedness in digital spaces

  • Original language description

    In an undirected simple graph, we define connectedness induced by a set of walks of the same lengths. We show that the connectedness is preserved by the strong product of graphs with walk sets. This result is used to introduce a graph on the vertex set Z^2 with sets of walks that is obtained as the strong product of a pair of copies of a graph on the vertex set Z with certain walk sets. It is proved that each of the walk sets in the graph introduced induces connectedness on Z^2 that satisfies a digital analogue of the Jordan curve theorem. It follows that the graph with any of the walk sets provides a convenient structure on the digital plane Z^2 for the study of digital images.

  • 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

    Carpathian Journal of Mathematics

  • ISSN

    1584-2851

  • e-ISSN

    1843-4401

  • Volume of the periodical

    33

  • Issue of the periodical within the volume

    2

  • Country of publishing house

    RO - ROMANIA

  • Number of pages

    10

  • Pages from-to

    247-256

  • UT code for WoS article

    000411780600011

  • EID of the result in the Scopus database

    2-s2.0-85042230208