Recent Publications
2005
Marusic, D., T. Pisanski, and S. Wilson (2005). The genus of the GRAY graph is 7. European Journal of Combinatorics 26: 377-385.
Sieben, N. and E. Deabay (2005). Polyomino weak achievement games on 3-dimensional rectangular boards. Discrete Mathematics 290: 61-78.
2004
Hagood, J. (2004). Differentiation results via tagged partitions. Real Analysis Exchange 29: 1-4.
Jibrin, S., Pressman, I.S., and Salibian-Barrera, M. A probabilistic method for detecting multivariate outliers. International Journal of Nonlinear Sciences and Numerical Simulation 5: 157-170.
Jibrin, S. and J.W. Swift (2004). Computing the boundary of weighted analytic centers for linear matrix inequalities. Journal of Inequalities in Pure and Applied Mathematics 5, 22 pages.
Muleady-Mecham, N.E., Lee, M.E. and Burch, B.D. (2004). A public opinion survey on wildland fire in Grand Canyon National Park. The George Wright Forum 21(3): 22 pages.
Neuberger, J.M. (2004). GNGA: Recent progress and open problems for semilinear elliptic PDE. Journal of Contemporary Mathematics 357.
Shamatha, J., Peressini, D., and Anderson K. (2004). Technology-supported mathematics activities situated within an effective learning environment theoretical framework. Contemporary Issues in Teacher Education.
Sieben, N. (2004). Hexagonal polyomino weak (1,2)-achievement games. Acta Cybernetica 16: 579-585.
Sieben, N. (2004). Snaky is a 41-dimensional winner. INTEGERS: Electronic Journal of Combinatorial Number Theory 4, #G05.
Suich, R.C. and Turek, R.J. (2004). An asymptotic partial correlation test for the Goodman-Kruskal lambda. British Journal of Mathematical and Statistical Psychology 56: 111-117.
Wilson, S. (2004). Semi-Transitive Graphs. Journal of Graph Theory 45(1): 1-27.
Wilson, S. and A. Breda d'Azevedo (2004). Surfaces having no regular hypermaps. Discrete Mathematics 277: 241-274.
2003
Conder, M., MacLachlan, C., Vasiljevic, S.T., and Wilson, S. (2003). Bounds for the number of automorphisms of a compact non-orientable surface. Journal of the London Mathematical Society 68(2): 65-82.
McShane, J. and Ratliff, M. I. (2003). Dice distributions using combinatorics, recursion and generating functions. The College Mathematics Journal 34: 370-376.
Neuberger, J.M., Rice Jr., D.R., and Swift, J.W. (2003). Numerical solutions of a vector Ginzburg-Landau equation with a triple-well potential. International Journal of Bifurcation, Chaos, Applied Science Engrg. 13: 3295-3306.
Ratliff, M.I., McShane, J.M. and Martinez-Cruz, A. (2003). Technology illustrations of four solutions to the Problem of Appolonius. Mathematics and Computer Education Spring: 193-205.
Suich, R.C. and Turek, R.J. (2003). Intuition in using nominal variables for prediction. Teaching Stat 25(3): 86-89.
Wilson, S. (2003). A worthy family of semisymmetric graphs. Discrete Mathematics 271: 283-294.
Wilson, S. and Breda d’Azevedo, A. (2003). Non-orientable maps and hypermaps with few faces. Journal for Geometry and Graphics 7: 173-189.
2002
Falk, M. (2002). Line-closed matroids, quadratic algebras, and formal arrangments. Advances in Applied Mathematics 28: 250-271.
Falk, M.J. and Proudfoot, N.J. (2002). Parallel connections and bundles of arrangements. Topology and its Applications 118: 65-83.
Jibrin, S. (2002). Detecting redundancy in optimization problems over intersection of ellipsoids. Journal of Interdisciplinary Mathematics 5: 183-194.
Ratliff, M.I. and Martinez-Cruz, A. (2002). Stochastic tip-off: Simulating the NBA playoff with a graphing calculator. Mathematics and Computer Education Fall: 261-270.
Sirakov, N.M., Granado, I., Muge, F. (2002). Interpolation approach for 3D smooth reconstruction and visualization of subsurface objects. International Journal Computers & Geosciences 28(8): 877-885.
Wilson, S. (2002). Families of Regular Graphs in Regular Maps. Journal of Combinatorial Theory, Series B 85: 269-289.
2001
Burch, B.D. and Harris, I.R. (2001). Closed-form approximations to the REML estimator of a variance ratio (or heritability) in a mixed linear model. Biometrics 57: 1148-1156.
Castro, A., Drábek, P. and Neuberger, J.M. (2001). A sign-changing solution for a superlinear Dirichlet problem. Proceedings of the Fifth Mississippi State Conference on Differential Equations and Computational Simulations in Electronic Journal of Differential Equations 10: 101-107.
Cossio, J., Lee, S. and Neuberger, J.M. (2001). A reduction algorithm for sublinear Dirichlet problems. Nonlinear Analysis 47: 3379-3390.
Costa, D.G., Ding, Z. and Neuberger, J.M. (2001). A numerical investigation of sign-changing solutions to superlinear elliptic equations on symmetric domains. Jouirnal of Computational Applied Mathematics 131: 299-319.
Drinen, D. and Sieben, N. (2001). C*-equivalences of graphs. Journal of Operator Theory 45: 209-229.
Falk, M. (2001). Combinatorial and algebraic structure in Orlik-Solomon algebras. European Journal of Combinatorics 22: 687-698.
Fennell, F., Briars, D., Crites, T., Gay, S., and Tunis, H. (2001). Reflections on the match between jobs and doctoral programs in mathematics education. CBMS Issues in Mathematics Education 9: 41-44.
Hagood, J. (2001). An elementary approach to ex. The College Mathematics Journal 32: 375-376.
Harris, I.R., Burch, B.D. and St. Laurent, R.T. (2001). A blended estimator for a measure of agreement with a gold standard. Journal of Agricultural, Biological and Environmental Statistics 6: 326-339.
Huck, G. and Rosebrock, S. (2001). Aspherical labelled oriented trees and knots. Proceedings of the Edinburg Mathematical Society 44: 285-294.
Jibrin, S. and Pressman, I.S. (2001). Monte Carlo algorithms for the detection of necessary linear matrix inequality constraints. International Journal of Nonlinear Sciences and Numerical Simulation 2: 139-154.
Martinez-Cruz, A.M., Contreras, J., Diekelman, A., and Louchart, C. (2001). Problem solving and posing in geometry with dynamic software. Ohio Journal of School Mathematics 43: 21-25.
Martinsen, G.D., Whitham, T.G., Turek, R.J., and Keim, P. (2001). Hybrid populations selectively filter gene introgression between species. Evolution 55: 1325-1335.
Neuberger, J.M. and Swift, J.W. (2001). Newton's method and Morse index for semilinear elliptic partial differential equations. International Journal of Bifurcation and Chaos 11: 801-820.
Pressman, I.S. and Jibrin, S. (2001). A weighted analytic center for linear matrix inequalities. Journal of Inequalities in Pure and Applied Mathematics 2(3), article 29.
Sieben, N. (2001). A note on primitive equivalence. Scientiae Mathematicae Japonicae 53: 435-529.
Sieben, N. (2001). Morita equivalence of C*-crossed products by inverse semigroup actions and partial actions. Rocky Mountain Journal of Mathematics 31: 661-686.
Sirakov, N.M., Muge, F. (2001). A system for reconstructing and visualizing three-dimensional objects. International Journal Computers & Geosciences 27(1): 59-69.
2000
Falk, M. and Terao, H., editors (2000). Advanced Studies in Pure Mathematics, Volume 27, Arrangements -- Tokyo 1998. Tokyo: Kinokuniya Co. Ltd.
Falk, M. and Randell, R. (2000). On the homotopy of arrangements, II, in Advanced Studies in Pure Mathematics -- Arrangements, Tokyo 1998 27: 93-125.
Granado, I., Sirakov, N., Muge, F. (2000). A morphological interpolation approach - geodesic set definition in case of empty intersection, in Mathematical Morphology and its Applications to Image and Signal Processing, 71-80.
Haneuse, S., Sciacca, J., Ratliff, M.I., Alexander, D., and Rivero, M.E. (2000). Factors influencing breastfeeding rates among Arizona WIC participants. American Journal of Health Behavior 24: 243-253.
Harris, I.R. and Burch, B.D. (2000). Pivotal estimation with applications for the intraclass correlation coefficient in the balanced one-way random effects model. Journal of Statistical Planning and Inference 83: 257-276.
Ratliff, M.I. and Martinez-Cruz, A.M. (2000). "Meet ya' at the diner. Probably...". Mathematics and Computer Education 34: 74-82.
Sirakov, N.M., Ribeiro, L., Pina, P., Muge, F. (2000). An algorithm for 3D groundwater units reconstruction and visualization, in Red Book, Calibration and Reliability in Groundwater Modeling 265: 148-154.
1999
Burch, B.D. and Harris, I.R. (1999). Bayesian estimation of the intraclass correlation coefficient in the one-way random effects model. Communications in Statistics -- Theory and Methods 28(6): 1247-1272.
Eschenbrenner, C.J. and Falk, M.J. (1999). Orlik-Solomon algebras and Tutte polynomials. Journal of Algebraic Combinatorics 10: 189-199.
Quigg, J. and Sieben, N. (1999). C*-actions of r-discrete groupoids and inverse semigroups. Journal of the Australian Mathematical Society (Series A) 66: 143-167.
Suich, R. and Turek, R. (1999). An asymptotic test on the Goodman-Kruskal lambda. Journal of Nonparametric Statistics 11: 377-392.
1998
Bell, W.C. and Hagood, J.W. (1998). Completeness of Lp spaces and Radon-Nikodym theorems for unbounded finitely additive measures. Journal of Mathematical Analysis and Applications 218: 82-96.
Castro, A., Cossio, J., and Neuberger, J.M. (1998). A minmax principle, index of the critical point, and existence of sign-changing solutions to elliptic boundary value problems. Electronic Journal of Differential Equations.
Long, C.T. and Webb, W.A. (1998). Analysis of the Euclidean and related algorithms. Applications of Fibonacci Numbers 7: 271-278.
Long, C.T. and Webb, W.A. (1998). Fundamental solutions of au^2-5v^2=-4r^2. Applications of Fibonacci Numbers 7: 279-282.
Martinez-Cruz, A.M. and Ratliff, M.I. (1998). Beyond modeling world records with a graphing calculator: assessing the appropriateness of models. Mathematics and Computer Education 32: 143-153.
Neuberger, J.M. (1998). A sign-changing solution for a superlinear Dirichlet problem with a reaction term nonzero at zero. Nonlinear Analysis 33: 427-441.
Riskin, A. and Wilson, S. (1998). Edge graceful labellings of disjoint unions of cycles. Bulletin of the Institute of Combinatorics and its Applications 22: 53-58.
St. Laurent, R. (1998). Evaluating agreement with a gold standard in method comparison studies. Biometrics 54: 537-545.
Schenker, J.H. and Swift, J.W. (1998). Observing the symmetry of attractors. Physica D 114: 315-337.
Sieben, N. (1998). C*-crossed products by twisted inverse semigroup actions. Journal of Operator Theory 39: 361-393.
Wilson, S. and Riskin, A. (1998). Edge-graceful labellings of odd cycles and their products. Bulletin of the Institute of Combinatorics and its Applications 24: 57-64.
1997
Burch, B.D. and Iyer, H.K. (1997). Exact confidence intervals for a variance ratio (or heritability) in a mixed linear model. Biometrics 53: 1318-1333.
Castro, A., Cossio, J. and Neuberger, J.M. (1997). A sign-changing solution for a superlinear Dirichlet problem. Rocky Mountain Journal of Mathematics 27: 1041-1053.
Castro, A., Cossio, J., and Neuberger, J.M. (1997). On multiple solutions of a nonlinear Dirichlet problem. Nonlinear Analysis: Proceedings of WCNA.
Falk, M. (1997). Arrangements and cohomology. Annals of Combinatorics 1: 135-157.
Falk, M. and Terao, H. (1997). bnbc-bases for cohomology of local systems on hyperplane complements. Transactions of the American Mathematical Society 349: 189-202.
Neuberger, J.M. (1997). A numerical method for finding sign-changing solutions of superlinear Dirichlet problems. Nonlinear World 4: 73-83.
Sieben, N. (1997). C*-crossed products by partial actions and actions of inverse semigroups. Journal of the Australian Mathematical Society (Series A) 63: 32-46.
Sirakov, N. (1997). Fast approach for determining visibility of 3D object's surfaces, in Lecture Notes in Computer Sciences 1311: 292-299.
Watanabe, S. and Swift, J.W. (1997). Stability of periodic solutions in series arrays of Josephson junctions with internal capacitance. Journal of Nonlinear Science 7: 503-536.
