Thomas Britz






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  1. Finite posets and Ferrers shapes, Advances in Mathematics 158 (2001), 86-127.
    (with Sergey Fomin)
  2. The inverse of a non-singular free matrix, Linear Algebra and its Applications 338 (2001), 245-249.
  3. Some operations on the family of equivalence relations, Algebraic Combinatorics and Computer Science. A Tribute to Gian-Carlo Rota, (H. Crapo and D. Senato eds.), pp. 445-460, Springer-Verlag, Milano, 2001.
    (with Matteo Mainetti and Luigi Pezzoli)
  4. MacWilliams identities and matroid polynomials, The Electronic Journal of Combinatorics 9 (2002), R19, 17pp.
  5. Mathematical proof of the consistency of Feldberg's simple BDF start in electrochemical digital simulation, The Journal of Electroanalytical Chemistry 546 (2003), 123-125.
    (with Dieter Britz)
  6. Matrix inversion and digraphs: the one factor case, Electronic Journal of Linear Algebra 11 (2004), 115-131.
    (with Dale Olesky and Pauline van den Driessche)
  7. The Moore–Penrose inverse of matrices with an acyclic bipartite graph, Linear Algebra and its Applications 390 (2004), 47-60.
    (with Dale Olesky and Pauline van den Driessche)
  8. Minimal spectrally arbitrary sign patterns, SIAM Journal of Matrix Analysis and Application 26 (2004), 257-271.
    (with Judith McDonald, Dale Olesky, and Pauline van den Driessche)
  9. Schur complements of matrices with acyclic bipartite graphs, Electronic Journal of Linear Algebra 14 (2005), 2-11.
    (with Dale Olesky and Pauline van den Driessche)
  10. Covering radii are not matroid invariants, Discrete Mathematics 296 (2005), 117-120.
    (with Carrie G. Rutherford)
  11. Extensions of the Critical Theorem, Discrete Mathematics 305 (2005), 55-73.
  12. On $P$-weight and $P$-distance inequalities, Discrete Mathematics 306 (2006), 598-599.
  13. The higher weight enumerators of the doubly-even, self-dual [48,24,12] code, IEEE Transactions on Information Theory 53 (2007), 2567-2571.
    (with Dieter Britz, Keisuke Shiromoto, and Henrik Kragh Sørensen)
  14. Higher support matroids, Discrete Mathematics 307 (2007), 2300-2308.
  15. The Moore-Penrose inverse of a free matrix, Electronic Journal of Linear Algebra 16 (2007), 208-215.
  16. Designs from subcode supports of linear codes, Designs, Codes and Cryptography 46 (2008), 175-189.
    (with Keisuke Shiromoto)
  17. A MacWilliams type identity for matroids, Discrete Mathematics 308 (2008), 4551-4559.
    (with Keisuke Shiromoto)
  18. Designs from matroids, SIAM Journal of Discrete Mathematics 23 (2009), 1082-1099.
    (with Gordon Royle and Keisuke Shiromoto)
  19. Properties of quasi-uniform codes, in Proceedings of the 2010 IEEE International Symposium on Information Theory, pp. 1153-1157, ISIT 10, Austin, USA, June 2010. (peer-reviewed).
    (with Terence H. Chan and Alex Grant)
  20. Code enumerators and Tutte polynomials, IEEE Transactions on Information Theory 56 (2010), 4350-4358.
  21. Wei's Duality Theorem for matroids, submitted
    (with Trygve Johnsen, Dillon Mayhew, and Keisuke Shiromoto)