Knots and Graphs

http://www.math.ohio-state.edu/~chmutov/wor-gr-su16/wor-gr.htm

Working Group [Summer 2016]
MATH 4193, class number 17165
June 7 --- July 29, 2016

Instructor: Sergei Chmutov
Office MA-232. Phone 688-3126

Monday, Wdnesday, 3:00-4:00, MA-317 and MW-154             

 Past year programs

       2015    2014    2013    2012    2011
       2010    2009    2007    2006    2005

  • Announcement
    		•
  • List of participants
    		•
  • Research projects
    		•
  • Table of Virtual Knots by Jeremy Green
    		•
  • Our results
    		•

    Schedule

    Week 1

    		 
    We. June 8S.Chmutov,  Introduction. Knots and Jones polynomial.    Handout.   

    Week 2

    		 
    Mo. June 13S.Chmutov,  The Kauffman bracket and Jones polynomial.   
    We. June 15 S.Chmutov,  The Tutte polynomial.     Handout.    Wikipedia.

    Week 3

    		 
    Mo. June 20S.Chmutov,  Matroids. Handout.    Wikipedia.
    We. June 22 S.Chmutov,  Ribbon graphs and Δ-matroids.     Handout.   

    Week 4

    		 
    Mo. June 27G.Tian, C.Dilsavor,  Conway-Gordon theorem.
    We. June 29 N.Henderson, A.Howells,  Flows on graphs.

    Week 5

    		 
    We. July 6 D.Coles, M.Crawshaw,  Edmond's theorem and flows on graphs.

    Week 6

    		 
    Mo. July 11D.Brogan, J.Liu,  Kasteleyn's theorem and Alexander's polynomial.
    We. July 13 N.Hemleben,  Dimer model.
    Z.Smith, D.Woodward,  Matroid perspectives.

    Week 7

    		 
    Mo. July 18D.Woodward,  Δ-matroids.
    C.Dilsavor,  List of linking numbers of a K6 embedding.
    We. July 20 N.Henderson, A.Howells, D.Coles,  4-color theorem.