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Symbolic Coloured SCC Decomposition

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14330%2F21%3A00121404" target="_blank" >RIV/00216224:14330/21:00121404 - isvavai.cz</a>

  • Result on the web

    <a href="https://doi.org/10.1007/978-3-030-72013-1_4" target="_blank" >https://doi.org/10.1007/978-3-030-72013-1_4</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/978-3-030-72013-1_4" target="_blank" >10.1007/978-3-030-72013-1_4</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Symbolic Coloured SCC Decomposition

  • Original language description

    Problems arising in many scientific disciplines are often modelled using edge-coloured directed graphs. These can be enormous in the number of both vertices and colours. Given such a graph, the original problem frequently translates to the detection of the graph's strongly connected components, which is challenging at this scale. We propose a new, symbolic algorithm that computes all the monochromatic strongly connected components of an edge-coloured graph. In the worst case, the algorithm performs $O(pcdot ncdotlog n)$ symbolic steps, where $p$ is the number of colours and $n$ the number of vertices. We evaluate the algorithm using an experimental implementation based on Binary Decision Diagrams (BDDs) and large (up to $2^{48}$) coloured graphs produced by models appearing in systems biology.

  • 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

    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

    Tools and Algorithms for the Construction and Analysis of Systems, 27th International Conference, TACAS 2021

  • ISBN

    9783030720124

  • ISSN

    0302-9743

  • e-ISSN

  • Number of pages

    20

  • Pages from-to

    64-83

  • Publisher name

    Springer Nature

  • Place of publication

    Neuveden

  • Event location

    Luxembourg

  • Event date

    Apr 1, 2021

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article