Explore a selection of works produced by faculty in the Department of Mathematical Sciences at Michigan Technological University.

Follow

Works from 2002

Link

Wavelet threshold estimation of a regression function with random design, Shuanglin Zhang, Man Yu Wong, and Zhongguo Zheng

Link

Association mapping, using a mixture model for complex traits, Xiaofeng Zhu, Shuanglin Zhang, Hongyu Zhao, and Richard S. Cooper

Works from 2001

Link

Caps on Classical Varieties and their Projections, Jürgen Bierbrauer, Antonio Cossidente, and Yves Edel

Link

Remote sensing of biotic effects: Zebra mussels (Dreissena polymorpha) influence on water clarity in Saginaw Bay, Lake Huron, Judith W. Budd, Thomas David Drummer, Thomas F. Nalepa, and Gary L. Fahnenstiel

Link

Families of ternary (t, m, s)-nets related to BCH-codes, Yves Edel and Jürgen Bierbrauer

Link

A primer on differentiation, Mark Gockenbach

Link

The [52, 26, 10] binary self-dual codes with an automorphism of Order 7☆, W. Cary Huffman and Vladimir Tonchev

Link

Bush‐type Hadamard matrices and symmetric designs, Zvonimir Janko, Hadi Kharaghani, and Vladimir Tonchev

Link

The existence of a Bush-Type Hadamard Matrix of order 324 and two new infinite classes of symmetric designs, Zvonimir Janko, Hadi Kharaghani, and Vladimir Tonchev

Link

On a conjecture about trees in graphs with large girth, Tao Jiang

Link

Small odd cycles in 4-chromatic graphs, Tao Jiang

Link

A hole-size bound for incomplete t-wise balanced designs, Donald L. Kreher and Rolf S. Rees

Link

Bounds on the number of Hadamard designs of even order, Clement Lam, Sigmund Lam, and Vladimir Tonchev

Link

On the Yao-Iyer inequality in bioequivalence studies, Iosif Pinelis

Link

A Mass Formula for Steiner Triple Systems STS(2n−1) of 2-Rank 2n−n☆, Vladimir Tonchev

Works from 2000

Link

A family of caps in projective 4-space in odd characteristic, Jürgen Bierbrauer and Yves Edel

Link

Quantum twisted codes, Jürgen Bierbrauer and Yves Edel

Link

Almost independent and weakly biased arrays: Efficient constructions and cryptologic applications, Jürgen Bierbrauer and Holger Schellwat

Link

Linearity of space-time transformations without the one-to-one, line-onto-line, or constancy-of-speed-of-light assumptions, Alexander Chubarev and Iosif Pinelis

Link

Maximal arcs and disjoint maximal arcs in projective planes of order 16, Nicholas Hamilton, Stoicho Stoichev, and Vladimir Tonchev

Link

Bounds on the number of affine, symmetric and Hadamard designs and matrices☆, Clement Lam, Sigmund Lam, and Vladimir Tonchev

Link

On symmetric nets and generalized Hadamard matrices from affine designs, Vassili C. Mavron and Vladimir Tonchev

Link

Assessment of CFD methods for large diesel engines equipped with a common rail injection system, Paul Rodatz, German Weisser, and Franz X. Tanner

Link

The development and assessment of a course for enhancing the 3-D spatial visualization skills of first year engineering students, Sheryl Sorby and Beverly J. Baartmans

Link

Unital designs in planes of order 16, Stoicho Stoichev and Vladimir Tonchev

Link

Non-equilibrium turbulence considerations for combustion processes in the simulation of di diesel engines, Franz X. Tanner, Guang Sheng Zhu, and Rolf D. Reitz

Works from 1999

Link

Halving PSL(2, q), Jürgen Bierbrauer and Yves Edel

Link

New codes via the lengthening of BCH codes with UEP codes, Jürgen Bierbrauer, Yves Edel, and Ludo Tolhuizen

Link

Existence and Uniqueness of Solutions for a Dynamic One-Dimensional Damage Model, Michel Frémond, Kenneth L. Kuttler, and Meir Shillor

Link

C++ classes for linking optimization with complex simulations, Mark Gockenbach, Matthew J. Petro, and William W. Symes

Link

Random Sidon Sequences, Anant P. Godbole, Svante Janson, Nicholas W. Locantore, and Rebecca Rapoport

Link

Another logarithmic functional equation, Konrad J. Heuvers

Link

Decompositions of difference sets☆, Dieter Jungnickel and Vladimir Tonchev

Link

Perfect Codes and Balanced Generalized Weighing Matrices☆, Dieter Jungnickel and Vladimir Tonchev

Link

Linear perfect codes and a characterization of the classical designs, Vladimir Tonchev

Works from 1998

Link

On Mathieu's Inequality, Horst Alzer, J. L. Brenner, and O. G. Ruehr

Link

Weak k-majorization and polyhedra, Geir Dahl and François Margot

Link

Quasi‐symmetric 2‐(28, 12, 11) designs with an automorphism of order 7, Yuan Ding, Sheridan Houghten, Clement Lam, Suzan Smith, Larry Thiel, and Vladimir Tonchev

Link

Modelling air temperature gradients across managed small streams in western Washington, J. Dong, J. Chen, K. D. Brosofske, and R. J. Naiman

Link

Improved upper bounds for the reliability of d-dimensional consecutive-k-out-of-n : F systems, Anant P. Godbole, Laura K. Potter, and Jessica K. Sklar

Link

New Designs with Block Size 7, Zvonimir Janko and Vladimir Tonchev

Link

Characterizing the Hermitian and Ree unitals on 28 points, Gary McGuire, Vladimir Tonchev, and Harold Ward

Link

Maximum disjoint bases and constant-weight codes, Vladimir Tonchev

Works from 1997

Link

A family of 2-weight codes related to BCH-codes, Jürgen Bierbrauer and Yves Edel

Link

Extending and lengthening BCH codes, Jürgen Bierbrauer and Yves Edel

Link

Embedding partial geometries in Steiner designs, Andries Brouwer, Willem Haemers, and Vladimir Tonchev

Link

Twisted BCH-codes, Yves Edel and Jürgen Bierbrauer

Link

A Class of Extremal Functions and Trigonometric Polynomials, Jeffrey J. Holt

Link

Computational results for the known biplanes of order 9, J. D. Key and Vladimir Tonchev

Link

On steiner 3-wise balanced designs of order 17, E. S. Kramer, D. L. Kreher, and Rudolf Mathon

Link

Binary codes derived from the Hoffman-Singleton and Higman-Sims graphs, Vladimir Tonchev

Link

Steiner triple systems of order 15 and their codes, Vladimir Tonchev and Robert Weishaar

Works from 1996

Link

Second order evolution equations with dynamic boundary conditions, Kevin T. Andrews, K. L. Kuttler, and M. Shillor

Link

On the binary codes of Steiner triple systems, Alphonse Baartmans, Ivan Landjev, and Vladimir Tonchev

Link

Automorphism Groups of Tree Actions and of Graphs of Groups, Hyman Bass and Renfang Jiang

Link

Bounding Elastic Constants of an Orthotropic Polycrystal using Measurements of the Microstructure, M. J. Beran, T. A. Mason, B. L. Adams, and T. Olsen

Link

Concerning difference matrices, Charles J. Colbourn and Donald L. Kreher

Link

Random covering designs, Anant P. Godbole and Svante Janson

Link

Spreads in strongly regular graphs, Willem Haemers and Vladimir Tonchev

Link

On a form of the Erdos-Turán inequality, Jeffrey J. Holt

Link

A family of resolvable regular graph designs, Donald L. Kreher, Gordon F. Royle, and W. D. Wallis

Link

Classification of affine resolvable 2-(27, 9, 4) designs, Clement Lam and Vladimir Tonchev

Link

On the minimal number of even submatrices of 0-1 matrices, Iosif Pinelis

Link

Bounded automorphisms of surfaces, Jiang Renfang

Link

A class of Steiner 4‐wise balanced designs derived from preparata codes, Vladimir Tonchev

Link

The uniformly packed binary [27,21,3] and [35,29,3] codes☆, Vladimir Tonchev

Link

The existence of certain extremal [54,27,10] self-dual codes, Vladimir Tonchev and V. Y. Yorgov

Works from 1995

Link

A2-codes from universal hash classes, Jürgen Bierbrauer

Link

Bounds on orthogonal arrays and resilient functions, Jürgen Bierbrauer

Link

Partial steiner triple systems with equal-sized holes, Charles J. Colbourn, Charles A. Cusack, and Donald L. Kreher

Link

Large sets of 3‐designs from psl(2, q), with block sizes 4 and 5, C. A. Cusack, S. W. Graham, and D. L. Kreher

Link

Singly-even self-dual codes and Hadamard matrices, Masaaki Harada and Vladimir Tonchev

Link

The existence of extremal self-dual [50,25,10] codes and quasi-symmetric 2-(49,9,6) designs, W. Cary Huffman and Vladimir Tonchev

Link

On quasi-symmetric 2-(28,12,11) and 2-(36,16,12) designs, Clement Lam, Larry Thiel, and Vladimir Tonchev

Link

Linear codes and doubly transitive symmetric designs, Christopher Parker and Vladimir Tonchev

Link

Smoothed particle hydrodynamics stability analysis, J. W. Swegle, D. L. Hicks, and S. W. Attaway

Link

The bigraphical t‐wise balanced designs of index two, Lisa M. Weiss and Donald L. Kreher

Submissions from 1994

Link

The preparata codes and a class of 4‐designs, Alphonse Baartmans, Iliya Bluskov, and Vladimir Tonchev

Link

A Poisson approximation for the number of k-matches, Patrick D. Burghardt, Anant P. Godbole, and Amy B. Prengaman

Link

Evaluating forest stress factors using various forest growth modeling approaches, Paul V. Desanker, David D. Reed, and Elizabeth A. Jones

Link

Cauchy-Difference Conservative Vector Fields for Dimension Two and Three, K. J. Heuvers

Link

Eigenform error estimates of computational material dynamics with shocks. 1.1. Hooke's law materials, D. L. Hicks, L. M. Liebrock, and Y. Wen

Link

The bigraphical t‐wise balanced designs of index 1, Dean G. Hoffman and Donald L. Kreher

Link

Linear solvation energy relationship of the solubility of very polar gases: Sulfur dioxide, hydrogen chloride, hydrogen bromide, and ammonia, Dean C. Luehrs and Kalpana A. Godbole

Link

An inversion relation of multinomial type, Daniel Moak, Konrad Heuvers, K. P.S. Bhaskara Rao, and Karen Collins

Link

Designs with the symmetric difference property on 64 points and their groups, Christopher Parker, Edward Spence, and Vladimir Tonchev

Link

On a majorization inequality for sums of independent random vectors, Iosif Pinelis

Link

The time until the final zero crossing of random sums with application to nonparametric bandit theory, I. Pinelis and S. Yakowitz

Link

Asymptotics for multivariate t-statistic and hotelling′s T < sup> 2 -statistic under infinite second moments via bootstrapping, Steven J. Sepanski

Link

A process-based growth model for young red pine, Yunfeng Zhang, David D. Reed, Peter J. Cattelino, Margaret R. Gale, Elizabeth A. Jones, Hal O. Liechty, and Glenn D. Mroz

Submissions from 1993

Link

On the extendability of steiner t‐designs, Alphonse Baartmans, Ian Blake, and Vladimir Tonchev

Link

Moments of gaps between k-free numbers, S. W. Graham

Link

A design and a code invariant under the simple group Co3, Willem Haemers, Christopher Parker, Vera Pless, and Vladimir Tonchev

Link

Answering von Neumann's conjecture on convergence of averages and analyzing the von Neumann-Richtmyer scheme via a material averaging method, D. L. Hicks, K. L. Kuttler, L. M. Liebrock, and C. E. Southwell

Link

An infinite family of (simple) 6‐designs, Donald L. Kreher

Link

Initial-boundary value problems for model D (a discrete hydrodynamical model) with stress boundary conditions are globally well posed, K. L. Kuttler and D. L. Hicks

Link

A symmetric 2‐(160, 54, 18) design, Edward Spence, Vladimir Tonchev, and Tran van Trung

Link

Quasi-symmetric designs, codes, quadrics, and hyperplane sections, Vladimir Tonchev

Works from 1992

Link

Product integration for finite-part singular integral equations: Numerical asymptotics and convergence acceleration, B. Bertram and O. Ruehr

Link

Concerning multiplier automorphisms of cyclic Steiner triple systems, Charles Colbourn, Eric Mendelsohn, Cheryl Praeger, and Vladimir Tonchev