Research
I am a graph theorist and my current research is regrading graph polynomials. My thesis, entitled On Network Reliability (available here) was on reliability polynomials and optimal networks.
Papers Published:
- J.I.Brown and D. Cox, The closure of the roots of strongly connected reliability polynomials is the entire complex plane. Discrete Mathematics 309(2009).
- J.I. Brown and D. Cox, On the non-existence of optimal graphs for all terminal reliability. To appear in Networks (2013).
Papers Submitted:
- J.I.Brown, D.Cox and R. Ehrenborg, The Average Reliability of a Graph. Discrete Applied Mathematics, (2013).
Conferences Attended & Talks:
- 2013 CMS Summer Meeting Co-Organizer of the
Education Session on Mathematical Outreach - 2013 CanaDAM:
Talk: "Optimality and All Terminal Reliability"
Chair: Graph Theory III Session
- 2012 NS Math Teachers Association Conference:
Talk: “NS Math Circles and Engaging Students” - 2012 SIAM Conference on Discrete Mathematics Participant & Volunteer
- 2012 East Coast Combinatorics Conference:
Talk: “All-Terminal Reliability and Optimality” - 2012 Science Atlantic Conference:
Talk: “NS Math Circles & Outreach” - 2011 CanaDAM:
Talk: "Roots of Graph Polynomials" - 2011 Dalhousie Graph Theory Seminar
Talk: "k-Clique Reliability" - 2010 East Coast Combinatorics Conference:
Participant - 2009 CandaDAM:
Participant - 2009 East Coast Combinatorics Conference:
Talk: “The Closure of the Roots of Strongly Connected Reliability Polynomials is the Entire Complex Plane” - 2008 East Coast Combinatorics Conference:
Participant - 2008 Connecting Women in Math Across Canada:
Poster: "On strongly connected reliability polynomials
and the location of their roots" - 2008 Dalhousie Graph Theory Seminar:
Talk: "Reliability Polynomials"