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    block this user Dainis Zeps Trusted member

    Senior Research Fellow / dainize@mii.lu.lv

    Institute of Mathematics and Computer Science
    University of Latvia
    Science and Religion Dialogue interdisciplinary group

    Combinatorial Maps with Normalized Knot

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    We consider combinatorial maps with fixed combinatorial knot numbered with augmenting numeration called normalized knot. We show that knot’s normalization doesn’t affect combinatorial map what concerns its generality. Knot’s normalization leads to more concise numeration of corners in maps, e.g., odd or even corners allow easy to follow distinguished cycles in map caused by the fixation of the knot. Knot’s normalization may be applied to edge structuring knot too. If both are normalized then one is fully and other partially normalized mutually.

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    Description

    New Full text for this article was not available? Send a request to the author(s).
    Title : Combinatorial Maps with Normalized Knot
    Author(s) : Dainis Zeps
    Abstract : We consider combinatorial maps with fixed combinatorial knot numbered with augmenting numeration called normalized knot. We show that knot’s normalization doesn’t affect combinatorial map what concerns its generality. Knot’s normalization leads to more concise numeration of corners in maps, e.g., odd or even corners allow easy to follow distinguished cycles in map caused by the fixation of the knot. Knot’s normalization may be applied to edge structuring knot too. If both are normalized then one is fully and other partially normalized mutually.
    Keywords : 1

    Subject : graphs on surface, zigzag walk, permutations, combinatorial maps, combinatorial
    Area : Mathematics
    Language : English
    Year : 2010

    Affiliations :  Institute of Mathematics and Computer Science
    City : Riga
    Pages : 14
    Url : http://www.ltn.lv/~dainize/MathPages/fixed.knot.pdf

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