Recent Publications
2007
Bangert, R.K., G.J. Allen, R.J. Turek, G.M. Wimp, N. Meneses, G.D. Martinsen, P. Keim, & T.G. Whitham (2007). From genes to geography: a genetic similarity rule for arthropod community structure at multiple geographic scales. Molecular Ecology, vol. 15, 4215-4228.
Blows, T.R. (2007). Small amplitude limit cycles for symmetric cubic systems. Computer and Mathematics with Applications, to appear.
Blows, T.R. (2007). Limit cycle configurations of cubic systems. Rocky Mountain Journal of Mathematics, to appear.
Burch, B.D. (2007). Generalized confidence intervals for proportions of total variance in mixed linear models. Journal of Statistical Planning and Inference, 137, 2394-2404.
Burch, B.D. (2007). Comparing pivotal and REML-based confidence intervals for heritability. Journal of Agricultural, Biological, and Environmental Statistics, 12, 470-484.
Falk, M. & S. Yuzvinsky (2007). Multinets, resonance varieties, and pencils of plane curves. Compositio Mathematica, 143 No. 4 (Steenbrink issue), 1069-1088.
Falk, M. (2007). Resonance varieties over fields of characteristic p. Int. Math. Research Notices, Vol. 2007, article ID rnm009, 25 pages, doi:10.1093/imrn/rnm009.
Hineman, J., & J.M. Neuberger (2007). GNGA for general regions: semilinear elliptic PDE and crossing eigenvalues. Communications in Nonlinear Science and Numerical Simulation 12, no. 4, 447-464.
Huck, G. & S. Rosebrock (2007). Spherical diagrams and labeled oriented trees. Proceedings of the Royal Society of Edinburgh, Vol 137A, 519-530.
Jibrin, S. Generating uniform points on the boundary of bounded spectrahedron with applications to rank constrained linear matrix inequality problem. Intrnational Journal of Applied Math and Engineering Sciences, Vol. 1, no. 1, 27-38.
Shamatha, J. (2007). Book Chapter 6: reflecting on and sharing your research lesson, in Lesson Study Communities: Increasing Achievement with Diverse Students. Wilburg, K. & Brown, C. Corwin Press: Thousand Oaks, CA.
Sieben, N. (2007) Polynominoes with minimum site-perimeter and full set achievement games. European Journal of Combinatorics, to appear.
Sieben, N. (2007) Cayley color graphs of inverse semigroups and groupoids. Czechoslovak Mathematical Journal, to appear.
Wilson, S., S. Miklavic, P. Potocnik (2007) Consistent cycles in graphs and digraphs. Graphs and Combinatorics, Vol. 23, Num. 2, pp. 205-216 (12).
Wilson, S. (2007) Overlap in consistent cycles. Journal of Graph Theory, Vol. 55, Num. 1, pp. 55-71.
Wilson, S. (2007). Tetravalent edge-transitive graphs of girth at most 4. Journal of Combinatorial Theory, Series B, Vol. 97, Num 2, pp. 217-236.
2006
Bangert, R.K., R.J. Turek, B. Rehill, G.M. Wimp, G.D. Martinsen, G.J. Allen, J.A. Schweitzer-Bailey, P. Keim, R.L. Lindroth & T.G. Whitham (2006). A genetic similarity rule determines arthropod community structure. Molecular Ecology 15: 1379-1391.
Hagood, J. & B.S. Thomson (2006). Recovering a function from a Dini derivative. American Mathematical Monthly 113: 34-46.
Herzinger, K., J. Rushall, N. Sieben, & S. Wilson (2006). Perfect pairs of ideals and duals in numerical semigroups. Communications in Algebra, 34 no. 9, 3475-3486 .
Jibrin, S., & D. Stover (2006). Identifying redundant linear constraints in systems of linear matrix inequalities. Optimization Online http://www.optimizationonline.org/DB_HTML/2006/06/1408.html,2006.
Neuberger, J.M. (2006). Nonlinear elliptic partial difference equations on graphs. Experimental Mathematics 15:91-107.
Neuberger, J.M., J.W. Swift, & N. Sieben (2006). Computing Eigenfunctions on the Koch snowflake: a new grid and symmetry. J. Computational and Applied Mathematics 191: 126-142.
Neuberger, J.M., J.W. Swift, & N. Sieben (2006). Symmetry and automated branch following for a semilinear elliptic PDE on a fractal region. SIAM J. Dynamical Systems, 5 no. 3, 476-507 .
Ratliff, M.I., & J.M. McShane (2006). It’s a Holiday! Teaching Statistics, to appear.
Shamatha, J. (2006). An innovative distance-learning Master of Arts of Teaching Mathematics degree program. Refereed Proceedings of the 17th Annual Conference for the Society for Information Technology and Teacher Education.
Wang, J. & R. Serfling (2006). Influence functions for a general class of depth-based generalized quantile functions. Journal of Multivariate Analysis 97: 810-826.
Wang, J. & R. Serfling (2006). On scale curves for nonparametric description of dispersion. In Proceedings of May 2003 DIMACS Workshop on Data Depth: Robust Multivariate Analysis, Computational Geometry and Applications, vol. 72, pp. 37-48.
Wilson, S. (2006) Uniform maps on the Klein bottle. Journal for Geometry and Graphics 10, No. 2, 161-171.
2005
Andrews, A., A. Weaver, D. Hanley, J. Shamatha, & G. Melton (2005). Scientists and public outreach: participation, motivations, and impediments. Journal of Geoscience Education.
Bangert, R.K., R.J. Turek, G.D. Martinsen, G.M. Wimp, J.K. Bailey, & T.G. Whitham (2005). Benefits of conservation of plant genetic diversity to arthropod diversity. Conservation Biology 19: 379-390.
Blows, T.R., & B. Wimmer (2005). A simple mathematical model of Batesian mimicry. Discrete Dynamics in Nature and Society, 2005: 87-92.
Burch, B.D., & I.R. Harris (2005). Optimal one-way random effects designs for the intraclass correlation coefficient based on confidence intervals. Communications in Statistics, Theory and Methods, 34: 2009-2023.
Falk, M., & A. Suciu (2005). Complex Hyperplane Arrangements. Emissary (the MSRI newsletter), Spring 2005, 4-6.
Guerrero, S. (2005). Teachers’ knowledge and a new domain of expertise: pedagogical technology knowledge. Journal of Educational Computing Research 33(3): 249-268
Harris, I.R., & B.D. Burch (2005). Measuring relative importance of sources of variation without using variance. The American Statistician 59: 217-222.
Hernon, C. & J.M. McShane (2005). Bridging the potential divide between theory and practice. AMTE Connections 15: 9-10.
Marusic, D., T. Pisanski, & S. Wilson (2005). The genus of the GRAY graph is 7. European Journal of Combinatorics 26: 377-385.
Shamatha, J. (2005). Building capacity for mathematics achievement: a collaborative approach. Refereed Proceedings of the 15th Annual International Conference on Mathematical Instruction
Sieben, N. (2005). Avoidable sets in the bicyclic inverse semigroup. Ars. Combin. 77: 273-288.
Sieben, N. & E. Deabay (2005). Polyomino weak achievement games on 3-dimensional rectangular boards. Discrete Mathematics 290: 61-78.
Turk, P. & J.J. Borkowski (2005). A review of adaptive cluster sampling: 1990-2003. Ecological and Environmental Statistics 12: 55-94.
Wang, J. & R. Serfling (2005). Nonparametric multivariate kurtosis and tailweight measures. Journal of Nonparametric Statistics 17: 441-456.
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.
