Graph Theory, Block B

"Captain's log"
DateSection(s) / Assignment
08/14/2013first day of class - work on "sprouts" problem
08/15/2013continue work on "sprouts" problem & share some conjectures
08/16/2013in-class pod assignment (sprouts)
08/19/2013intro to graphs, terminology, etc. (section 2.1); hw: p.31ff problem #2.5,2.15,2.18,2.22,2.23
08/21/2013go over hw & friday's pod assignment; no new hw
08/22/2013planar graphs (handshaking thm for regions, bound on # edges)
08/23/2013methods of proof; proof of euler's formula & e<=3v-6; hw: is k3,3 planar, and p.274 #11.1, 11.2, 11.3
08/26/2013proof "grading", planarity of K3,3; hw: planarity handout
08/28/2013graded podwork
08/29/2013mathematical induction proofs (finish for hw)
08/30/2013platonic solids as planar graphs
09/04/2013degree-5 theorem for planar graphs, intro graph coloring; hw: us map coloring
09/05/20135-color theorem for planar graphs
09/06/20134-color "proof" counterexample; graph coloring (handout) no new hw besides inidv assg...
09/09/2013coin graphs
09/11/2013work on penny graphs; hw: work on #2&3
09/12/2013chromatic number of lichtenstein
09/13/2013chromatic polynomials
09/16/2013deletion-contraction theorem for chromatic polynomials
09/18/2013more chromatic polynomials
09/20/2013podwork assignment
09/23/2013intro to adjacency matrices
09/25/2013adjacency & incidence matrices (handout)
09/26/2013more adjacency & incidence matrices
09/27/2013more adjacency matrices; intro to generating functions
10/02/2013generating functions for walks
10/03/2013wrap-up first good-will-hunting problem; start second one
10/04/2013prufer sequences intro
10/07/2013wrap-up prufer sequences; counting binary trees
10/09/2013minimum spanning trees
10/10/2013intro to eulerian and hamiltonian graphs
10/11/2013eulerian and hamiltonian proofs (ore's theorem)
10/14/2013podwork #4
10/17/2013
10/18/2013