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A convenient graph connectedness for digital imagery

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26230%2F21%3APU138870" target="_blank" >RIV/00216305:26230/21:PU138870 - isvavai.cz</a>

  • Result on the web

    <a href="https://www.springer.com/gp/book/9783030670764" target="_blank" >https://www.springer.com/gp/book/9783030670764</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/978-3-030-67077-1_9" target="_blank" >10.1007/978-3-030-67077-1_9</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    A convenient graph connectedness for digital imagery

  • Original language description

    In a simple undirected graph, we introduce a special connectedness induced by a set of paths of length 2. We focus on the 8-adjacency graph (with the vertex set Z^2) and study the connectedness induced by a certain set of paths of length 2 in the graph. For this connectedness, we prove a digital Jordan curve theorem by determining the Jordan curves, i.e., the circles in the graph that separate  Z^2 into exactly two connected components.

  • 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

    <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

    2021

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    High Performance Computing in Science and Engineering 2019

  • ISBN

    978-3-030-67076-4

  • ISSN

    0302-9743

  • e-ISSN

  • Number of pages

    13

  • Pages from-to

    150-162

  • Publisher name

    Springer International Publishing

  • Place of publication

    Cham

  • Event location

    Hotel Soláň

  • Event date

    May 20, 2019

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article