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    3. Algebraic Elements of Graphs

    Algebraic Elements of Graphs

    Posted By: roxul
    Date: 25 Jan 2025 04:35:14
    Algebraic Elements of Graphs

    Yanpei Liu, "Algebraic Elements of Graphs"
    English | ISBN: 3110480735 | 2017 | 422 pages | EPUB | 13 MB

    This book studies algebraic representations of graphs in order to investigate combinatorial structures via local symmetries. Topological, combinatorial and algebraic classifications are distinguished by invariants of polynomial type and algorithms are designed to determine all such classifications with complexity analysis. Being a summary of the author‘s original work on graph embeddings, this book is an essential reference for researchers in graph theory.
    Contents
    Abstract Graphs
    Abstract Maps
    Duality
    Orientability
    Orientable Maps
    Nonorientable Maps
    Isomorphisms of Maps
    Asymmetrization
    Asymmetrized Petal Bundles
    Asymmetrized Maps
    Maps within Symmetry
    Genus Polynomials
    Census with Partitions
    Equations with Partitions
    Upper Maps of a Graph
    Genera of a Graph
    Isogemial Graphs
    Surface Embeddability
    Read more
    UPWARDS