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Project Goal

Weekly Plan (Week 2: 7/25-8/1)

• Get Matlab_BGL working - longer Matlab scripts (possible Matlab functions?)
• Learn more about biconnectivity and k-connectivity (Graph Theory: Gross and Yellen)
• Study Dijkstra's Algorithm or Laplace Matrix
• Understand the graphs in Greiner

Weekly Plan (Week 3: 8/1-8/8)

• Get Matlab_BGL working at school (Matlab version 7.0 only)
• More Matlab - focus on single node placement - slowly increasing transmission radius
• Read about Laplace Matrix
• Understand the graphs in Greiner - CLARIFY YOUR PROJECT'S GOALS

Weekly Plan (Week 4: 8/8-8/15)

• Matlab_BGL - focus on biconnectivity output
• More Matlab - run simulations and store your results
• Read about Laplace Matrix: Find article by B. Mohar (Discrete Math 109[1992] 171-183
• Start generating & SAVING simulation results

Weekly Plan (Week 7: 8/29-9/5)

• Modify simulation to calculated largest biconnected component
• Learn to store Matlab data results
• Simulate with multiple (500) random graphs of same size (only plot overall averages)
• Simulate with random graphs of different sizes (N=100, N=400 and N=1600).
  Make sure to modify the radius increments

Weekly Plan (Week 8: 9/5-9/12)

• Learn to store Matlab data results
• Simulate with multiple (500) random graphs of same size (only plot overall averages)
• Simulate with random graphs of different sizes (N=100, N=400 and N=1600).
  Make sure to modify the radius increments
• Check on higher connectivity measurement
• Fill Out Your Forms!!

Weekly Plan (Week 9: 9/12-9/19)

• Learn to store Matlab data results! - Still
• Broaden simulations to include the Manhattan model & possibly the multifractal model
• Modify x-axis from plain R to normalized R/R_o. Where R_o=1/sqrt(Pi*N)
• Keep Filling Out Your Forms!!
• Check out AMS national meeting website to see if you'd like to attend

Weekly Plan (Week 10: 9/19-9/26)

• Implement Matlab data storage in columns
• Move on to Manhattan model
• Plot modified graphs (normalized R)
• Keep Filling Out Your Forms!!
• Prepare abstract (poster or talk)

Weekly Plan (Week 13: 10/17-10/24)

• Keep data stored in an orderly fashion
• Move on to Manhattan model, and Airport models
• Documentation: Paperwork for Payment
• Prepare final presentations: Powerpoint & Written

Weekly Plan (Week 14: 10/24-10/31)

• Focus on Documentation and Data Generation
• Read about Continuum Percolation - Boolean Model

END OF FORMAL NREUP PROGRAM

Weekly Plan (Week 2: 11/10-11/17)

• Focus on Preparing final report (~5 pages) and JMM Poster
• Fix graphing problem at end of Matlab script (probably in Plot_Gr).
• Turn the script into a basic network creation function (first integral multiple of Ro that is biconnected).