Publications list

  1. A graph for which the inertia bound is not tight,
    Submitted to Journal of Algebraic Combinatorics, eprint arXiv:1609.02826.

  2. On the principal permanent rank characteristic sequences of graphs and digraphs,
    with P. Horn, F. Kenter, K. Monfared, K. Nowak, and J. Tobin,
    Electronic Journal of Linear Algebra, 31: 187-199, 2016.

  3. Uniqueness and minimal obstructions for tree-depth,
    with M. Barrus,
    Discrete Mathematics,, 339: 606-613, 2016.

  4. On the inertia set of a signed graph with loops,
    with M. Arav and H. van der Holst,
    Linear Algebra and its Applications, 471: 169-183, 2015.

  5. Minimum ranks of sign patterns via sign vectors and duality,
    with M. Arav, F.J. Hall, Z. Li, H. van der Holst, and L. Zhang,
    Electronic Journal of Linear Algebra,, 30: 360-371, 2015.

  6. The combinatorial inverse eigenvalue problem II: All cases for small graphs,
    with W. Barrett, C. Nelson, and T. Yang,
    Electronic Journal of Linear Algebra,, 27: 742-778, 2014.

  7. The combinatorial inverse eigenvalue problem: Complete graphs and small graphs with strict inequality,
    with W. Barrett, A. Lazenby, N. Malloy, C. Nelson, W. Sexton, R. Smith, and T. Yang,
    Electronic Journal of Linear Algebra,, 26: 656-672, 2013.

  8. Diagonal entry restrictions in minimum rank matrices,
    with W. Barrett, N. Malloy, C. Nelson, and W. Sexton,
    Electronic Journal of Linear Algebra,, 26: 300-332, 2013.

  9. Decompositions of minimum rank matrices,
    with W. Barrett, M. Kempton, N. Malloy, C. Nelson, and W. Sexton,
    Linear Algebra and its Applications, 438(10): 3912-3948, 2013.

  10. Computing inertia sets using atoms
    with W. Barrett, S. Butler, H. T. Hall, W. So, C. Starr, and A. Yielding,
    Linear Algebra and its Applications, 436(12): 4489-4502, 2012.

  11. Minimum rank of outerplanar graphs,
    with M. Kempton,
    Linear Algebra and its Applications, 436(9): 3701-3720, 2012.

  12. The minimum semidefinite rank of the complement of partial k-trees,
    with H. van der Holst,
    Linear Algebra and its Applications, 434(6): 1468-1474, 2011.

  13. The inverse eigenvalue and inertia problems for minimum rank two graphs,
    with W. Barrett, S. Gibelyou, M. Kempton, N. Malloy, C. Nelson, and W. Sexton,
    Electronic Journal of Linear Algebra, 22: 389-418, 2011.

  14. Maximum nullity of outerplanar graphs and the path cover number,
    Linear Algebra and its Applications, 432(8): 2052-2060, 2010.

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