'4 cycle' presentation slideshows

Small Cycle Systems

Small Cycle Systems. Chris Rodger Auburn University. Hamilton Cycle. 4-cycle. Graph Decompositions - Paths. Partition the edges of your favorite graph so that each element of the partition induces something interesting. Use colors on the edges to denote the partition.

533 views • 46 slides

4-cycle Designs

4-cycle Designs. Hung-Lin Fu ( ??? ) ???????????. Motivation. The study of graph decomposition has been one of the most important topics in graph theory and also play an important role in the study of the combinatorics of experimental designs (combinatorial designs).

539 views • 35 slides

Engines

380 views • 19 slides

Some Favorite Problems

Some Favorite Problems. Dan Kleitman , M.I.T. The Hirsch Conjecture. 1. How large can the diameter of a bounded polytope defined by n linear constraints in d dimensions be? HC claims n-d. (one step along an edge between two vertices of the polytope is distance 1)

280 views • 17 slides

Recap

Recap. Discussed simple model for population dynamics New population x n+1 gotten from old x n via logistic function x n+1 =ax n (1-x n ) a gives rate of reproduction simple but nonlinear x given by iteration. The Logistic Map. x n+1 =ax n (1-x n )

321 views • 14 slides

Recap

Recap. Discussed simple model for population dynamics New population x n+1 gotten from old x n via logistic function x n+1 =ax n (1-x n ) a gives rate of reproduction simple but nonlinear x given by iteration. The Logistic Map. x n+1 =ax n (1-x n )

201 views • 14 slides

Collaborators: Pip Pattison, Tom Snijders, Mark Handcock, Stanley Wasserman (among others)

A two minute introduction to: Exponential random graph (p *)models for social networks SNAC Workshop, Illinois, November 2005 Garry Robins, University of Melbourne, Australia. Collaborators: Pip Pattison, Tom Snijders, Mark Handcock, Stanley Wasserman (among others).

151 views • 7 slides