1998 Research Publications

Mathematics and Statistics

Books and Chapters

Keady, G. and Hawkes, E. Inflation of a rubber disk: numerics using NAG d02raf, InterCall Manual and Examples Collection, eds P. Abbott, M. Trefry, Perth, Western Australia, Analytica International, 1: (1998)

Schultz, P. Automorphisms which Determine an Abelian p-Group, Abelian Groups, Module Theory, and Topology, eds D. Dikramjan, L. Salce, New York, USA, Marcel Dekker, pp 373-379 (1998)

Journal Articles

Allingham, D., West, M. and Mees, A.I. Wavelet reconstruction of nonlinear dynamics, International Journal of Bifurcation and Chaos, 8:11, pp 2191-2202 (1998)

Baddeley, A.J. and Molchanov, I.S. Averaging of random sets based on their distance functions, Journal of Mathematical Imaging and Vision, 8: pp 79-92 (1998)

Baddeley, R.W. and Praeger, C.E. On classifying all full factorisations and multiple-factorisations of the finite almost simple groups, Journal of Algebra, 204: pp 129-187 (1998)

Benyah, F. and Jennings, L.S. The L-curve in regularization of optimal control computation, Journal of Australian Mathematical Society. Series B, E40: pp 138 - 172 (1998)

Cai, X., Mees, A.I. and Goh, C.J. Greedy heuristics for rapid scheduling of trains on a single track, IIE Transactions on Scheduling and Logistics, 30: pp 481-493 (1998)

Cao, L., Mees, A.I. and Judd, K. Dynamics from multivariate time series, Physica D, 121: pp 75-88 (1998)

Cao, L., Mees, A.I., Judd, K. and Froyland, G. Determining the minimum embedding dimensions of input-output time series data, International Journal of Bifurcation and Chaos, 8:3, pp 1491-1504 (1998)

Chen, G.Y., Goh, C.J. and Yang, X.Q. The gap functions of a convex multicriteria optimization problem, European Journal of Operational Research, 111: pp 142-151 (1998)

Dragomir, S.S. and Fitzpatrick, S. Hadamard's inequality for s-convex functions in the first sense and applications, Demonstratio Mathematica, 31:3, pp 633-642 (1998)

Fang, X.G., Li, C.H. and Praeger, C.E. On orbital regular graphs and Frobenius graphs, Discrete Mathematics, 182: pp 85-99 (1998)

Fang, X.G. and Praeger, C.E. On graphs admitting arc-transitive actions of almost simple groups, Journal of Algebra, 205: pp 37-52 (1998)

Fowkes, N. and Hood, M.J. Surface tension effects in a wedge, Quarterly Journal of Mechanics and Applied Mathematics, 51: pp 553 - 561 (1998)

Gardiner, A. and Praeger, C.E. Topological covers of complete graphs, Mathematical Proceedings of the Cambridge Philosophical Society, 123: pp 549-559 (1998)

Godsil, C.D., Liebler, R.A. and Praeger, C.E. Antipodal distance transitive covers of complete graphs, European Journal of Combinatorics, 19:4, pp 455-478 (1998)

Goh, C.J. and Yang, X.Q. Minkowski metric and weighted Tchebyshev norm in vector optimization, Optimization, 43: pp 353-365 (1998)

Goh, C.J. and Yang, X.Q. Comment on convexification of a nonconvex frontier, Journal of Optimization Theory and Applications, 97: pp 759-768 (1998)

Griffin, P.S. and Maller, R.A. On the rate of growth of the overshoot and the maximum partial sum, Advances in Applied Probabaility, 30: pp 181-196 (1998)

Hausen, J. and Schultz, P. The maximal normal p-subgroup of the automorphism group of an abelian p-group, Proceedings of the American Mathematical Society, 126:9, pp 2525-2533 (1998)

Hazelton, M.L. Some remarks on stochastic user equilibrium, Transportation Research (Part B: Methodological), 32:2, pp 101-108 (1998)

Hazelton, M.L. Bias annihilating bandwidths for kernel density estimation at a point, Statistics & Probability Letters, 38: pp 305-309 (1998)

Ivanov, A.A. and Praeger, C.E. On locally projective graphs of girth 5, Journal of Algebraic Combinatorics, 7: pp 259-283 (1998)

Judd, K. and Mees, A.I. Embedding as a modelling problem, Physica D, 120: pp 273-286 (1998)

Kaya, C.Y. and Noakes, L. A global control algorithm in the plane, Dynamics and Control, 8: pp 377-385 (1998)

Keady, G. Colebrook-White for pipe flows, Journal of Hydraulic Engineering-ASCE, 124: pp 96-97 (1998)

Keady, G. Review: Maple V Release 5, Gazette of the Australian Mathematical Society, 25:1, pp 32-36 (1998)

Kesten, H. and Maller, R.A. Random walks crossing power law boundaries, Studia Scientiarum Mathematicum Hungarica, 34: pp 219-252 (1998)

Kesten, H. and Maller, R.A. Tandom walks crossing high level curved boundaries, Journal of Theoretical Probability, 11:4, pp 1019-1074 (1998)

Korman, B., Jennings, L.S. and Rigg, J.R.A. Rapid attainment of steady-state plasma drug concentrations within precise limits, Journal of Pharmacokinetics and Biopharmaceutics, 26:3, pp 319-328 (1998)

Li, C.H. On isomorphisms of connected Cayley graphs, Discrete Mathematics, 178: pp 109-122 (1998)

Li, C.H. and Gu, Z.Y. The Cayley graphs of order a prime-square which are Cayley invariant, Australasian Journal of Combinatorics, 17: pp 169-174 (1998)

Li, C.H. A family of quasiprimitive 2-arc transitive graphs which have non-quasiprimitive full automorphism groups, European Journal of Combinatorics, 19: pp 499-502 (1998)

Li, C.H., Praeger, C.E. and Xu, M.Y. Isomorphisms of finite Cayley digraphs of bounded valency, Journal of Combinatorial Theory, Series B, 73: pp 164-183 (1998)

Li, C.H. On isomorphisms of connected Cayley graphs, II, Journal of Combinatorial Theory, Series B, 74: pp 28-34 (1998)

Li, C.H. and Conder, M. On isomorphisms of finite Cayley graphs, European Journal of Combinatorics, 19: pp 911-919 (1998)

Li, C.H., Praeger, C.E. and Xu, M.Y. On finite groups with the Cayley isomorphism property, Journal of Graph Theory, 27: pp 21-31 (1998)

Li, C.H. and Wang, J. Finite groups acting 2-transitively on some sets of their Sylow subgroups, Acta Mathematica Sinica, 41: pp 931-942 (1998)

Li, C.H. On isomorphisms of connected Cayley graphs, III, Bulletin of Australian Mathematical Society, 58: pp 137-145 (1998)

Li, C.H. On Cayley graphs on abelian groups, Journal of Algebraic Combinatorics, 8: pp 205-215 (1998)

Li, C.H. On finite graphs that are self-complementary and vertex-transitive, Australasian Journal of Combinatorics, 18: pp 147-155 (1998)

Li, C.H. and Gu, Z.Y. A nonabelian CI-group, Australasian Journal of Combinatorics, 17: pp 229-233 (1998)

Li, C.H. The solution of a question of Godsil regarding cubic Cayley graphs, Journal of Combinatorial Theory, Series B, 72: pp 140-142 (1998)

Li, C.H. Isomorphisms of connected Cayley digraphs, Graphs and Combinatorics, 14: pp 37-44 (1998)

Li, C.H. Isomorphisms of Cayley digraphs of abelian groups, Bulletin of Australian Mathematical Society, 57: pp 181-188 (1998)

Li, Y. and Pakes, A.G. On the number of near-records after the maximum observation in a continuous sample, Communications in Statistics-Theory and Methods, 27:3, pp 673-686 (1998)

Liu, Y., Teo, K.L., Jennings, L.S. and Wang, S. On a class of optimal control problems with state jumps, 98: pp 65-82 (1998)

Longstaff, W.E. and Panaia, O. On complementary subspaces of Hilbert space, Proceedings of the American Mathematical Society, 10:126, pp 3019-3026 (1998)

Longstaff, W.E., Nation, J.B. and Panaia, O. Abstract reflexive sublattices and completely distributive collapsibility, Bulletin of the Australian Mathematical Society, 58: pp 245-260 (1998)

McLaughlin, R.A. and Alder, M.D. The Hough transform versus the UpWrite, IEEE Transactions on Pattern Analysis and Machine Intelligence, 20:4, pp 396-400 (1998)

Newman, M.F., Nickel, W. and Niemeyer, A.C. Descriptions of groups of prime power order, Journal of Symbolic Computation, 25:5, pp 665-682 (1998)

Niemeyer, A. and Praeger, C.E. A recognition algorithm for classical groups over finite fields, Proceedings of the London Mathematical Society, 77:3, pp 117-169 (1998)

Noakes, L. A global algorithm for geodesics, Journal of the Australian Mathematical Society. Series A, 64: pp 37-50 (1998)

Noakes, L. Nonlinear corner-cutting, Advances in Computational Mathematics, 8: pp 165-177 (1998)

Pakes, A.G. and Li, Y. Limit laws for the number of near-maxima via the Poisson approximation, Statistics & Probability Letters, 40: pp 395-401 (1998)

Pakes, A.G. Mixture representations for symmetric generalized Linnik laws, Statistics & Probability Letters, 37: pp 213-221 (1998)

Pakes, A.G. A limit theorem for the maxima of the para-critical simple branching process, Advances in Applied Probability, 30: pp 740-756 (1998)

Pakes, A.G. Extreme order statistics on Galton-Watson trees, Metrika, 47:2, pp 95-117 (1998)

Penttila, T. and Royle, G.F. BLT-sets over small fields, Australasian Journal of Combinatorics, 17: pp 295-307 (1998)

Penttila, T. and Praeger, C. Ovoids and translation ovals, The Journal of the London Mathematical Society. Series 2., 56:3, pp 607-624 (1998)

Penttila, T. and Williams, B. Regular packings in PG(3,q), European Journal of Combinatorics, 19:6, pp 713-720 (1998)

Penttila, T. and Storme, L. Monomial flocks and herds containing a monomial oval, Journal of Combinatorial Theory . Series A., 83:1, pp 21-41 (1998)

Penttila, T. Regular cyclic BLT-sets, Supplemento ai Rendiconti del Circolo Matematico di Palermo, series II, Combinatorics '98 Mondello, 53: pp 167-172 (1998)

Perkel, M. and Praeger, C.E. Polygonal graphs: new families and an approach to their analysis, Congressus Numerantium, 124: pp 161-173 (1998)

Pilgram, B. and Schappacher, W. Estimation of the dominant singular values for SVD based noise reduction methods, International Journal of Bifurcation and Chaos, 8:3, pp 571-580 (1998)

Praeger, C.E. and Neumann, P.M. Derangements and eigenvalue-free elements in finite classical groups, Journal of the London Mathematical Society - Second Series, 58: pp 564-586 (1998)

Praeger, C.E. Movement and separation of subsets of points under group actions, Journal of the London Mathematical Society, 56:2, pp 519-528 (1998)

Savicky, P. and Woods, A.R. The number of Boolean functions computed by formulas of a given size, Random Structures and Algorithms, 13: pp 349-382 (1998)

Small, M. and Judd, K. Detecting nonlinearity in experimental data, International Journal of Bifurcation and Chaos, 8:6, pp 1231-1244 (1998)

Small, M. and Judd, K. Comparisons of new nonlinear modelling techniques with applications to infant respiration, Physica D, 117: pp 283-298 (1998)

Small, M. and Judd, K. Correlation dimension: A pivotal statistic for non-constrained realizations of composite hypotheses in surrogate data analysis, Physica D, 120: pp 386-400 (1998)

Stefanov, V.T. Review: "Exponential families of stochastic processes", Journal of the American Statistical Association, 93:444, pp 1515-1516 (1998)

Stoyanov, L. Instability and entropy for a class of dispersing billiards, Comptes Rendus de l'Academie des Sciences, Serie I, 326: pp 737-742 (1998)

Walker, D.M. Local filtering of noisy nonlinear time series, Physics Letters A, 249: pp 209-217 (1998)

Walker, D.M., Allie, S.P. and Mees, A.I. Exploiting the periodic structure of chaotic systems for noise reduction of nonlinear signals, Physics Letters A, 242: pp 63-73 (1998)

Walker, D.M. and Mees, A.I. Reconstructing nonlinear dynamics by extended Kalman filtering, International Journal of Bifurcation and Chaos, 8:3, pp 557-569 (1998)

Yang, X.Q. A generalized upper Dini-directional derivative in vector optimization, Optimization, 43: pp 339-351 (1998)

Yang, X.Q. Second-order global optimality conditions for convex composite optimization, Mathematical Programming, 81: pp 327-347 (1998)

Zhou, S. Weight distribution of the bases of a binary matroid, Applied Mathematics Letters, 11:6, pp 15-18 (1998)

Zhou, S. Interpolation theorems for graphs, hypergraphs and matroids, Discrete Mathematics, 185: pp 221-229 (1998)

Zhou, S. and Chen, B.F. Upper bounds for f-domination number of graphs, Discrete Mathematics, 185: pp 239-243 (1998)

Conference Publications

Allingham, D. and Mees, A.I. Sub-optimal wavelet modelling of nonlinear dynamics, International Conference on Optimization Techniques and Applications (ICOTA '98), Perth, Western Australia, School of Mathematics and Statistics, Curtin University of Technology, 1: pp 577-583 (1998)

Benyah, F. and Jennings, L.S. Regularization of optimal control computation, Second International Symposium on Intelligent Automation and Control (ISIAC '98), Albuquerque, USA, TSI Press, pp 091.1-091.6 (CD ROM) (1998)

Benyah, F. and Jennings, L.S. Ill-conditioning in optimal control computation, Seventh International Colloquium on Numerical Analysis and Computer Science with Applications, Utrecht, Netherlands, VSP BV, pp 81 - 88 (1998)

Fowkes, N. and Hurley, D.G. A comparison of the stress waves produced by surrounding a bore-hole charge with air or water, Third Australian Biennial Engineering Mathematics and Applications Conference (EMAC '98), Adelaide, South Australia, Institution of Engineers, Australia, 3: pp 201-205 (1998)

Fowkes, N. and Keady, G. The vertical entry of a wedge into water: integral equations and numerical results, Third Biennial Engineering Mathematics and Applications Conference (EMAC '98), Adelaide, South Australia, Institution of Engineers, Australia, 1: pp 277-281 (1998)

Jennings, L.S., Caccetta, L., Teo, K.L., Siew, P.F., Leung, Y.H. and Rehbock, V.Proceedings of the International Conference on Optimization Techniques and Applications, International Conference on Optimization Techniques and Applications (ICOTA'98), Perth, Western Australia, School of Mathematics and Statistics, Curtin University of Technology, p 1017 pages (1998)

Kaya, C.Y. and Noakes, L. The leapfrog algorithm and optimal control, International Conference on Optimization Techniques and Applications (ICOTA '98), Perth, Western Australia, School of Mathematics and Statistics, Curtin University of Technology, 1: pp 843-850 (1998)

Kaya, C.Y. and Noakes, L. The leapfrog algorithm: background and demonstration, Intrnational Conference on Optimization Techniques and Applications (ICOTA '98), Perth, Western Australia, School of Mathematics and Statistics, Curtin University of Technology, 1: pp 835-842 (1998)

Polak, J.W. and Hazelton, M.L. The influence of alternative traveller learning mechanisms on the dynamics of transport systems, European Transport Conference, London, England, PTRC, 1: pp 83-95 (1998)

Ridsdill-Smith, T.A. Separation filtering of aerogmagnetic data using filter-banks, Australian Society of Exploration Geophysicists - 13th International Meeting, Australia, Australian Society of Exploration Geophysicists, 29: pp 577-583 (1998)

Ridsdill-Smith, T.A. Separating aeromagnetic anomalies using wavelet matched filters, Society of Exploration Geophysicists - 68th Annual Meeting, USA, Society of Exploration Geophysicists, 1: pp 550-553 (1998)

Stefanov, V.T. Markov renewal processes and exponential families, Second International Symposium on Semi-Markov Models: Theory and Applications, Compiegne, France, University of Technology of Compiegne, 1: pp 1-6 (1998)

Woods, A.R. Unsatisfiable systems of equations, over a finite field, 39th Annual Symposium on Foundations of Computer Science, Los Alamitos, California, Institute of Electrical and Electronic Engineers (IEEE), pp 202-211 (1998)

Others

Baddeley, A. and Turner, R. Practical maximum pseudolikelihood for spatial point patterns, :1998/16, pp 1-49, Department of Mathematics and Statistics (1998)

Giudici, M. and Praeger, C.E. Completely transitive codes in Hamming graphs, :1998/18, pp 1-21, Nedlands, Western Australia(1998)

Griffin, P.S. and Maller, R.A. On compactness properties of the exit position of a random walk from an interval, :1998/5, pp 1-24, Department of Mathematics and Statistics (1998)

Hassani, A., Khayaty, M. and Praeger, C.E. Transitive permutation groups with bounded movement having maximal degree, :1998/6, pp 1-23, Nedlands, Western Australia (1998)

Hassani, A., Iranmanesh, M.A. and Praeger, C.E. On vertex-imprimitive graphs of order a product of three distinct odd primes, :1998/14, pp 1-32, Nedlands, Western Australia (1998)

Hazelton, M.L. Nonparametric Regression, Encyclopedia of Biostatistics, 4: pp 3037-3039, Chichester, USA (1998)

Hew, P.C. and Alder, M.D. The Lim-Alder algorithm for extended edge extraction, :TR98-02, pp 1-48, Nedlands, Western Australia(1998)

Hew, P.C. and Alder, M.D. Zernike or orthogonal Fourier-Mellon moments for representing and recognising printed digits, :1998/7, pp 1-9, Nedlands, Western Australia (1998)

Hew, P.C. and Alder, M.D. Zernike or orthogonal Fourier-Mellon moments for representing and recognising printed digits, :TR98-01, pp 1-9, Nedlands, Western Australia (1998)

Kennel, M.B. and Mees, A.I. Testing for general dynamical stationarity with a symbolic data compression technique, :NI98031-NSP, pp 1-9, Cambridge, England (1998)

Li, C.H., Praeger, C.E. and Conder, M.D. On the Weiss conjecture for finite locally-primitive graphs, :1998/11, pp 1-11, Nedlands, Western Australia (1998)

Li, Y. and Pakes, A.G. Numbers of near-maxima for random sample sizes, :1998/3, pp 1-10, Department of Mathematics and Statistics (1998)

Longstaff, W.E. and Panaia, O. J-subspace lattices and subspace M-bases, :1998/4, pp 1-13, Nedlands, Western Australia (1998)

Milne, R.K. (Review)Point Processes, Various, 4: pp 3385-3398, New York, USA (1998)

Pakes, A.G. and Li, Y. On the genesis of limit laws for the number of near-maxima, :1998/2, pp 1-6, Department of Mathematics and Statistics (1998)

Pakes, A.G. and Li, Y. Limit laws for the number of near-maxima via the Poisson approximation, :1998/12, pp 1-8, Department of Mathematics and Statistics (1998)

Schultz, P. Rotation and spin, :1998/13, pp 1-5, Nedlands, Western Australia (1998)

Schultz, P. and Mader, A. Endomorphism rings and automorphism groups of almost completely decomposable groups, :1998/15, pp 1-19, Nedlands, Western Australia (1998)

Schultz, P. Groups acting on Modules, :1998/17, pp 1-14, Nedlands, Western Australia (1998)

Small, M. and Judd, K. Variable prediction steps and longer term prediction, :1998/19, pp 1-19, Department of Mathematics and Statistics (1998)

Stoyanov, L. Asymptotics of travelling times in scattering by two convex bodies, :1998/22, pp 1-19, Nedlands, Western Australia (1998)