• Graph Theory and Network
    • Department of Mathematics
    • Credit. 4
    • MA336
    • Enroll
    • Spring , 2015
    • 5639
    • Course Description:
    • Introduction to graph theory and to network theory.
      We start with the introduction to general graph theory, and in addition
      we discuss algebraic graph theory. We will also discuss the
      introduction to the network theory from the view point of graph theory.
      We put an emphasis on how linear algebraic technique is applied
      for the study of graphs and networks.
    • Course Syllabus:
    • After completing the course, students should:
      1. Definitions and Examples of Graphs and Digraphs\\
      2. Paths and Cycles: Connectivity of graphs, Eulerian and Hamiltonian graphs\\
      3. Trees: Fundamental properties of trees and spanning trees\\
      4. Cycles and Cuts\\
      5. Adjacency matrix of a graph and spectrum of a graph\\
      6. Laplacian of a graph\\
      7. Matrix-Tree Theorem\\
      8. More on algebraic graph theory (strongly regular graphs and related topics)\\
      9. Planarity of Graphs\\
      10. Coloring of Graphs\\
      11. Flows in Networks\\
      12. Matchings and Hall's Marriage Theorem\\
      13. Network Flows and Mini-Max Theorem\\
      14. Menger's Theorem\\
      15. Electric Networks\\
      16. Linear Algebraic Method to study Networks\\
      17. Group Theory and graph theory\\

      Learning outcomes:
      1. to get familiar with the concepts of graphs and networks, and
      learn fundamental results.
      2. to understand how linear algebra is useful in the study of graphs
      and networks.
    • Schedule:
  • Reading list
  • Other Materials
  • Discussion
  • Homework download/submit
    • Bannai Eiichi
    • Professor
    • Read more
    • Male
    • E-mail:
    • Profile
  • Prerequisite Course:

  • Textbooks:

  • Grading:

    he course grade will be decided
    (mostly) base on the results of the midterm exam and the final exam
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