User:Babcock

Project Description

I am conducting research on (i,j)-step competition graphs in the ten week long Marquette MSCS REU. The mentor that I am working with is Dr. Kim A.S. Factor. For the beginning part of this REU, I will be doing background research with Max Black and then I will work on my own research. The work I do each week can be seen below.

Background Readings

There were some background readings given to Max and I to build an understanding on the topics we will be working on. Note: if a link is missing, the reading is either from a textbook or I could not find a link.

• BioMath: The Biology and Mathematics of Food Webs by Midge Cozzens, Nancy Crisler, Randi Rotjan, and Tom Fleetwood
• Chapter 3 from Applied Combinatorics by Fred S. Roberts
• (i,j) Competition Graphs by Kim A.S. Hefner, Kathryn F. Jones, Suh-ryung Kim, J. Richard Lundgren, and Fred S. Roberts.
• The (1,2)-step competition graph of a tournament by Kim A.S. Factor and Sarah K. Merz
• An Introduction to (1,2)-Domination Graphs by Kim A.S. Factor
• The m-step, same-step, and any-step competition graphs by Wei ho
• Connected triangle-free m-step competition graphs by Geir T. Helleloid
• The m-step competition graph of a digraph by Han Hyuk Cho, Suh-Ryun Kim, and Yunsun Nam
• A Characterization of Competition Graphs by R.D. Dutton and R.C. Brigham
• Interval Graphs and Food Webs: A finding and a Problem by Joel E. Cohen
• Using Food Webs In Order To Determine Possible Predictors of Primary and Secondary Extinctions by Kaitlin A. Ryan (a master's thesis)

Project Log

Week 1 (5/30/17-6/2/17)

• Note: I was not physically present during week 1 of the REU. I completed the BioMath packet during this time.

Reflection: End of Week 1

Since I was not present, there wasn't much work that I completed this week, but I made sure to complete any readings and introduction work that I could on my own.

Week 2 (6/5/17-6/9/17)

Day 1 (6/5/17)

• Finished BioMath packet.
• Printed readings and materials that were emailed to me.
• Confirmed a meeting with Max tomorrow, 6/6, for 8:00 AM before the ethics training to go over week 1.

Day 2 (6/6/17)

• Attended meeting with Max at 8:00AM
• Attended meeting with Petra at 8:30AM to complete paperwork.
• Attended ethical research training at 9:00AM until about 3:00PM.
• Began reviewing The (1,2)-step competition graph with Max at 3:15PM for about 3 hours.
• Made note to include approximate total number of hours in end-of-week reflection
• Estimated work for the day is about ten hours.

Day 3 (6/7/17)

• Started reading chapter 3 about graph theory in Applied Combinatorics. Read at home for about half an hour.
• Started to read thesis paper- Using Food Webs in Order to Determine... Read first 19 pages for about half an hour.
• Set up WIKI page for about half an hour.
• Continued to read and go through The (1,2)-step competition graph with Max for about an hour.
• Estimated work for the day is about