Difference between revisions of "User:Maxblack45"
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*[https://doi.org/10.1016/j.dam.2004.02.010 ''Competition hypergraphs''] by Martin Sonntag and Hanns-Martin Teichert | *[https://doi.org/10.1016/j.dam.2004.02.010 ''Competition hypergraphs''] by Martin Sonntag and Hanns-Martin Teichert | ||
*[https://www.researchgate.net/publication/45920740_On_the_hypercompetition_numbers_of_hypergraphs ''On the hypercompetition numbers of hypergraphs''] by Boram Park and Yoshio Sano | *[https://www.researchgate.net/publication/45920740_On_the_hypercompetition_numbers_of_hypergraphs ''On the hypercompetition numbers of hypergraphs''] by Boram Park and Yoshio Sano | ||
| + | *[https://doi.org/10.1016/0166-218X(93)90045-P ''Directed Hypergraphs and Applications''] by Giorgio Gallo, Giustino Longo, and Stefano Pallottino | ||
='''Project Log'''= | ='''Project Log'''= | ||
Revision as of 17:45, 9 June 2017
Contents
- 1 Project Description
- 2 Background Readings
- 3 Project Log
Project Description
I am researching (i,j)-step competition graphs while attending the ten-week Marquette REU; my mentor is Dr. Kim A.S. Factor. I will, initially, be doing background reading with Carissa Babcock and then we will branch into our own research questions. As my research becomes more personalized, I will contribute more to this description. My weekly log can be found below.
Background Readings
I felt having a list of the background reading I am doing would be helpful. Hence, I have created one below. These readings include the ones Dr. Factor gave me and the ones I have found. Note: if a link is missing, the reading is either from a textbook or I was unable to find one.
- 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)
- The (1,2)-step competition number of a graph by Kim A.S. Factor, Sarah K. Merz, and Yoshio Sano
- On The Hypercompetition Number of Hypergraphs with Maximum Degree at Most Two by Yoshio Sano
- Competition hypergraphs by Martin Sonntag and Hanns-Martin Teichert
- On the hypercompetition numbers of hypergraphs by Boram Park and Yoshio Sano
- Directed Hypergraphs and Applications by Giorgio Gallo, Giustino Longo, and Stefano Pallottino
Project Log
This is my daily log for what I accomplished. Each day includes an estimate on the number of hours I actually worked on the project or in Cudahy. My activities may include updating the wiki page, attending working lunches, meetings with Dr. Factor, working on various projects with Carissa, configuring printers; that list is, by no means, exhaustive. Note: the end-of-week reflections are the last things I do on the last day of each week before I leave the office, naturally.
Week 1 (5/30/17-6/2/17)
Day 1 (5/30/17)
- Attended MSCS REU orientation
- Met with mentor, Dr. Kim A.S. Factor, and began discussing project details
- Dr. Factor and I discussed goals: having BioMath: The Biology and Mathematics of Food Webs done by Thursday and reading The (1,2)-step competition graph of a tournament (by Kim A.S. Factor and Sarah Merz) by next Wednesday
- Completed pages 1 through 30 of BioMath: The Biology and Mathematics of Food Webs. I plan on finishing the packet tomorrow and seeing how far I can get through chapter 3 of Applied Combinatorics by Fred S. Roberts
Day 2 (5/31/17)
- Attended library orientation
- Finished the BioMath packet.
- Began reading The (1,2)-step competition graph of a tournament
- Began reading chapter 3 of Applied Combinatorics.
Day 3 (6/1/17)
- Attended a talk on good research practices by Dr. Kim Factor
- Filled out direct deposit form
- Met with Dr. Kim Factor and drafted the milestones and discussed moving our lunch with Carissa to Wednesday
- Reviewed milestones and compared them to the program's google calendar
- Printed additional readings for the weekend
- Continued reading chapter 3 of Applied Combinatorics
- Continued reading The (1,2)-step competition graph of a tournament
Day 4 (6/2/17)
- Uploaded a pdf of my milestones for the summer
- Worked on chapter 3 of Applied Combinatorics
- Continued reading The (1,2)-step competition graph of a tournament
- Began reviewing other papers
- Created project's Wiki page
Reflection: End of Week 1
Concerning my research, this week was relatively uninteresting. That is, I spent most of my time trying to find literature (beyond what Dr. Factor gave me), working through background readings, and finding a good work area. Of those three tasks, I spent most of my time on finding a good work area (it was my top priority); I can happily say I completed this task. I cannot wait to really dig into my research--make it past the background reading.
I accomplished my goals for this week. I attended various meetings, orientations, and finished the BioMath module, among others. I intend on furthering my research this weekend. Specifically, I hope to read multiple papers and complete chapter 3 from Applied Combinatorics. Next week, I'll be meeting Carissa on Tuesday, and we'll finally discuss the material Dr. Factor gave us; I'm excited.
Made during Week 2 on Day 3: I was told an hour estimate for each week would be nice. I worked approximately 40 hours this week (I did some stuff on Saturday to make up the missing time from Monday).
Week 2 (6/5/17-6/9/17)
Day 1 (6/5/17)
- Got in around 10:30AM
- Finished reading chapter 3 from Applied Combinatorics
- Created a LaTex document where I am writing my notes on Applied Combinatorics--a link to it is here, please note it is still in progress
- Created a LaTex document for teaching Carissa TeX
- Configured the printer in room 410
- Finished formatting my personal wiki and began a rough draft of the project's wiki
- Confirmed a meeting with Carissa tomorrow, 6/6, for 8:30 AM before the ethics training.
- Left around 3:30 PM, estimate for the day is 5 hours
Day 2 (6/6/17)
- Attended meeting with Carissa at 8:00AM
- Attended ethical research training at 9:00AM
- Handed off Applied Combinatorics to Carissa for reading on Graph theory
- Began reviewing The (1,2)-step competition graph with Carissa at 3:15PM
- Made note to include approximate total number of hours in end-of-week reflection
- Left the building at 7:08PM, will be back in two hours...Didn't make it back to Cudahy, finished at the apartment. Estimate for the day is 13.5-14 hours
Day 3 (6/7/17)
- Got to Cudahy at 9:00AM, discussed various definitions with Carissa
- Lunch with Dr. Factor around 12
- Received The (1,2)-step competition number of a graph by Factor, Merz, and Sano for reading and began reading it
- Began compiling definitions, lemmas, propositions, and theorems with Carissa for an examples pdf
- Made edits to the background section for this project's wiki, will finish them tomorrow
- Left at 6:00pm, estimate for the day is 9 hours
Day 4 (6/8/17)
- Got to Cudahy at 10:30
- Finished reading Kaitlin Ryan's master's thesis
- Attended working lunch
- Finished reading The (1,2)-step competition number of a graph by Factor, Merz, and Sano
- Began creating examples for our examples pdf (they will be added tomorrow)
- Drafted potential research questions
- Left lab at 4:40, time estimate is 6 hours
Day 5 (6/9/17)
- To Do (made on Day 4):
- Create BibTeX file with background readings and paragraphs detailing what they were about
- Finish examples pdf
- Begin and finish creating a presentation for meeting with Dr. Factor on Tuesday
- Finish background on project page
