Philip Matchett Wood's Publications

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• Universality and the circular law for sparse random matrices. Submitted. 29 pages.

• Random doubly stochastic tridiagonal matrices, with Persi Diaconis. Submitted. 30 pages.

• Mapping Incidences, with Van H. Vu and Melanie Matchett Wood. Journal of the London Mathematical Society 2011; doi: 10.1112/jlms/jdr017

• On the singularity probability of discrete random matrices , with Jean Bourgain and Van Vu.
  Journal of Functional Analysis 258 (2010), no.2, 559--603.

• On a conjecture of Alon, with Linh Tran and Van Vu.
  Journal of Number Theory 129 (2009), no. 11, 2801--2807.
  There is a related video abstract that appears on the Journal of Number Theory's YouTube Channel.

• The inverse Erdos-Heilbronn problem, with Van Vu.
  Electronic Journal of Combinatorics Volume 16(1), 2009. 8 pages.

• Graph pegging numbers, with Geir Helleloid, Madeeha Khalid, and David Petrie Moulton.
  Discrete Mathematics, 309 (2009), no. 8, 1971--1985.

• A translation method for finding combinatorial bijections with Doron Zeilberger.
  Annals of Combinatorics, Volume 13, Issue 3 (2009), 383--402.
  Related maple code.

• Bijective proofs for Fibonacci identities related to Zeckendorf's Theorem.
  Fibonacci Quart. 45 (2007), no. 2, 138-145.

• A bijective proof of $f_{n+4}+1f_{1}+2f_{2}+\ldots+nf_{n}=(n+1)f_{n+2}+3$.
  Integers 6 (2006), A2, 4 pp.

• Operations on well-covered graphs and the roller-coaster conjecture, (published under my former name: Philip Matchett).
  Electron. J. Combin. 11 (2004), no. 1, Research Paper 45, 17 pp.

Other publications

• Graduate students as mentors in mathematics REUs, with Stephen G. Hartke and Daniel C. Isaksen, in Proceedings of the Conference on Promoting Undergraduate Research in Mathematics, ed. J. A. Gallian, Amer. Math. Soc. (2007) 285-287.

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