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yampei l algebraic elements graphs 2017

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Textbook in PDF format 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. Preface (DG Edition) Preface (USTC Edition) 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 Appendix 1: Concepts of Polyhedra, Surfaces, Embeddings and Maps Appendix 2: Table of Genus Polynomials for Embeddings and Maps of Small Size Appendix 3: Atlas of Rooted and Unrooted Maps for Small Graphs Bibliography Author Index Subject Index

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Yampei L. Algebraic Elements of Graphs 2017.pdf 2.0 MB

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yampei l algebraic elements graphs 2017

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