Gray coding cubic planar maps

Avgustinovich, Sergey and Kitaev, Sergey and Potapov, Vladimir and Vajnovszki, Vincent (2016) Gray coding cubic planar maps. Theoretical Computer Science, 616. pp. 59-69. ISSN 0304-3975

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    Abstract

    The idea of (combinatorial) Gray codes is to list objects in question in such a way that two successive objects differ in some pre-specified small way. In this paper, we utilize $\beta$-description trees to cyclicly Gray code three classes of cubic planar maps, namely, bicubic planar maps, 3-connected cubic planar maps, and cubic non-separable planar maps.

    Creators(s): Avgustinovich, Sergey, Kitaev, Sergey ORCID logoORCID: https://orcid.org/0000-0003-3324-1647, Potapov, Vladimir and Vajnovszki, Vincent;
    Item type:Article
    ID code:55318
    Keywords:planar map, bicubic planar map, cubic non-separable planar map, 3-connected cubic planar map, gray code, description tree , β(0,1)-tree, Electronic computers. Computer science, Theoretical Computer Science, Computer Science(all)
    Subjects:Science > Mathematics > Electronic computers. Computer science
    Department:Faculty of Science > Computer and Information Sciences
    Depositing user: Pure Administrator
    Date deposited:13 Jan 2016 16:30
    Last modified:16 Feb 2020 03:01
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/55318
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