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
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
Yanpei Liu, Beijing Jiaotong University, Beijing, China
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Hardcover. Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Table of Content:PrefaceChapter 1 Abstract Graphs1.1 Graphs and Networks1.2 Surfaces1.3 Embeddings1.4 Abstract Representation1.5 NotesChapter 2 Abstract Maps2.1 Ground Sets2.2 Basic Permutations2.3 Conjugate Axiom. N° de réf. du vendeur 155315332
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Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. ContentsAbstract GraphsAbstract MapsDualityOrientabilityOrientable MapsNonorientable MapsIsomorphisms of MapsAsymmetrizationAsymmetrized Petal BundlesAsymmetrized MapsMaps within SymmetryGenus PolynomialsCensus with PartitionsEquations with PartitionsUpper Maps of a GraphGenera of a GraphIsogemial GraphsSurface Embeddability 424 pp. Englisch. N° de réf. du vendeur 9783110480733
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Buch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.ContentsAbstract GraphsAbstract MapsDualityOrientabilityOrientable MapsNonorientable MapsIsomorphisms of MapsAsymmetrizationAsymmetrized Petal BundlesAsymmetrized MapsMaps within SymmetryGenus PolynomialsCensus with PartitionsEquations with PartitionsUpper Maps of a GraphGenera of a GraphIsogemial GraphsSurface EmbeddabilityDe Gruyter Mouton, Genthiner Straße 13, 10785 Berlin 424 pp. Englisch. N° de réf. du vendeur 9783110480733
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