Algebraic Elements of Graphs

by Yanpei Liu

University of Science and Technology China Press

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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
  • ISBN10 3110480751
  • ISBN13 9783110480757
  • Publish Date 11 September 2017
  • Publish Status Active
  • Publish Country DE
  • Imprint De Gruyter