Emerging topics on differential geometry and graph theory

著者

    • Bernard, Lucas
    • Roux, Francois

書誌事項

Emerging topics on differential geometry and graph theory

Lucas Bernard and Francois Roux, editors

（Mathematics research developments series）

Nova Science Publishers, c2010

大学図書館所蔵 件 / 全6件

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注記

Includes bibliographical references index

内容説明・目次

内容説明

Differential geometry is a mathematical discipline that uses the methods of differential and integral calculus to study problems in geometry. Graph theory is also a growing area in mathematical research. In mathematics and computer science, graph theory is the study of mathematical structures used to model pairwise relations between objects from a certain collection. This book presents various theories and applications in both of these mathematical fields. Included are the concepts of dominating sets, one of the most widely studied concepts in graph theory, some current developments of graph theory in the fields of planar linkage mechanisms and geared linkage mechanisms, lie algebras and the application of CR Hamiltonian flows to the deformation theory of CR structures.

目次

  • Preface
  • A Categorical Perspective on Connections with Application in the Formulation of Functorial Physical Dynamics
  • The Notion of CR Hamiltonian Flows and the Local Embedding Problem of CR Structures
  • Functorial Approach to the Infinitesimal Theory of Groupoids
  • Equivariant Methods in Combinatorial Geometry
  • Something New About Reconstruction
  • Coalescence of Graphs
  • A Model of Higher-Order Concurrent Programs Based on Graph Rewriting
  • Graph Analysis with Application to Economics
  • Applications of Graph Theory in Mechanism Analysis
  • Protecting the Vertices of a Graph
  • Index.

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