Publications

Alan Shuchat, Randy Shull, and Ann N. Trenk, "Tolerance orders of open closed intervals," Submitted for publication (2017).

Alan Shuchat, Randy Shull, and Ann N. Trenk, "Unit interval orders of open and closed intervals," ORDER  http://link.springer.com/article/10.1007/s11083-015-9354-z  (2015).

Alan Shuchat, Randy Shull, Ann N. Trenk, and Lee West. "Unit mixed interval graphs," Congressus Numerantium 221 (2014), 189-223.

Alan Shuchat, Randy Shull, and Ann N. Trenk,"The total weak discrepancy of an ordered set," ARS Mathematica Contemporanea 4 (2011), 95-109.

Alan Shuchat, Randy Shull, and Ann N. Trenk,  Fractional weak discrepancy and split semiorders,”  Discrete Applied Mathematics 159 ( 2011), 647-660.

David Howard, Randy Shull, Noah Streib, and Ann N. Trenk, "Total linear discrepancy of an ordered set Discrete Mathematics 310 (2010), 1022-1025.

Alan Shuchat, Randy Shull, and Ann N. Trenk, Fractional weak discrepancy and interval orders,” Discrete Applied Mathematics 157 (2009), 1873-1884.

Alan Shuchat, Randy Shull, and Ann N. Trenk,  “Fractional weak discrepancy of posets and certain forbidden configurations,” in The Mathematics of Preference, Choice and Order: Essays in Honor of Peter C. Fishburn (Studies in Choice and Welfare, Edited by Steven Brams, William V. Gehrlein, and Fred S. Roberts, Springer-Verlag, New York (2009).

Alan Shuchat, Randy Shull, and Ann N. Trenk, The fractional weak discrepancy of a partially ordered set,”  Discrete Applied Mathematics 155 (2007), 2227-2235.

Alan Shuchat, Randy Shull, and Ann N. Trenk,Range of the fractional weak discrepancy function,” ORDER 23 (2006), 51-63.

Randy Shull and Ann N. Trenk,  Interval digraphs and bounded bitolerance digraphs," Congressus Numerantium 151 (2001), 111-127.

Charles Bu, Randy Shull, Hefei Wang and Millie Chu, “Well-posedness, decay estimates and blow-up theorem for the forced NLS,” Journal of Partial Differential Equations 14 (2001), 61-70.

Randy Shull, Charles Bu, Hefei Wang and Millie Chu, “On the forced nonlinear Schrödinger equation,” Numerical Aspects of Wave Propagation, Society of Industrial and Applied Mathematics (2000), 626 – 629.

Charles Bu, Randy Shull, and Kanyi Zhao, A periodic boundary value problem for a generalized 2D Ginzburg-Landau equation,” Hokkaido Mathematical Journal 27 (1998), 197 - 211.

Randy Shull, Alan Shuchat, James B. Orlin, and Marianne Lepp, “Arc Weights in Hidden Bicircular Networks,” Congressus Numerantium 125 (1997), 161 - 171.

Randy Shull and Ann N. Trenk, Cliques that are tolerance digraphs,” Discrete Applied Mathematics 80 (1997), 119 - 134.

Randy Shull and Ann N. Trenk,  Unit and proper bitolerance digraphs,”  Journal of Graph Theory 24 (1997), 193 - 199.

Charles Bu, Randy Shull, and Anita Mareno, Numerical simulation of blow-up of a 2D generalized Ginzburg-Landau equation, Applied Math. Letters  9 (1996), 13-17.

Randy Shull, Alan Shuchat, James B. Orlin, and Marianne Lepp, Recognizing hidden bicircular networks,” Discrete Applied Mathematics 41 (1993), 12-53.

Randy Shull, James B. Orlin, Alan Shuchat, and Marianne Gardner, The structure of bases in bicircular matroids,” Discrete Applied Mathematics,  23 (1989), 267-283.

Randy Shull, “Classification of projective planes of order 9 which possess collineations of order 5,”  Algebras, Groups and Geometries, 2 (1985), 365-379.

Randy Shull, “Collineations of project planes of order 9,” Journal of Combinatorial Theory,  Series A, 37 (1984), 99-120.