Josh Laison

Publications

  1. Seeing dots: Explorations on the visibility of lattice points
    with Michelle Schick*
    Mathematics Magazine 80(4):274-282, 2007.
    Michelle's senior distinction presentation
  2. My Experiences Researching With Undergraduate Mathematicians: The Collaboration Model
    in Joseph A. Gallian, editor, Proceedings of the Conference on Promoting Undergraduate Research in Mathematics, American Mathematical Society, 2007.
  3. Bar k-visibility graphs
    with Alice M. Dean, William Evans, Ellen Gethner, Mohammed A. Safari, and William T. Trotter
    The Journal of Graph Algorithms and Applications 11(1):45-59, 2007.
  4. Bar k-visibility graphs: Bounds on the number of edges, chromatic number, and thickness
    with Alice M. Dean, William Evans, Ellen Gethner, Mohammed A. Safari, and William T. Trotter
    in Graph Drawing, Proceedings of the 13th International Symposium on Graph Drawing, Lecture Notes in Computer Science, Springer 2006
  5. Tube representations of ordered sets
    Order 21(3): 209-232, 2005.
  6. Free triangle orders
    Order 20(2): 99-108, 2003.
  7. Comparability invariance results for tolerance orders
    with Kenneth P. Bogart, Garth Isaak, and Ann N. Trenk
    Order 18(3): 281-294, 2001.
  8. Unit and proper tube orders
    to appear in Order
  9. Dual unfoldings of polyhedra
    with John J. Watkins and Lucian Wilson*
    to appear in Congressus Numerantium

Submitted

  1. Triangle, parallelogram, and trapezoid orders
    with Kenneth Bogart and Stephen Ryan

Under revision

  1. Fixing numbers of graphs and groups
    with Courtney R. Gibbons*
    Courtney's prize-winning poster
  2. Subspace intersection graphs
    with Yulan Qing*
  3. Critical graph pebbling
    with Courtney R. Gibbons* and Erick J. Paul*
    The pebbling group

Current Projects

  1. Well-balanced 0-1 matrix graphs
    with David Neel
  2. Fixing numbers of Kneser graphs
    with Karen L. Collins
  3. Obstacle numbers of graphs
    with Hannah Alpert* and Christina Koch*
  4. More directions in visibility graphs
    with Ellen Gethner
  5. Circulant prime distance graphs
    with Colin Starr and Andrea Walker*
  6. Ramsey numbers of unit disc graphs
    with Ellen Gethner and Alice Dean
*student co-author