Articles

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Modeling the Spread of Fault in Majority-Based Network Systems: Dynamic Monopolies in Triangular Grids (with Paul Booth, Denise Sakai Troxell, and Luke Zinnen), Discrete Applied Mathematics (2012)

In a graph theoretical model of the spread of fault in distributed computing and communication...

 

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Exact Lambda-Numbers of Generalized Petersen Graphs of Certain Higher-Orders and on Mobius Strips (with Paul Booth, Harold Jaffe, Denise Troxell, and Luke Zinnen), Discrete Applied Mathematics (2012)

An L(2,1)-labeling of a graph G is an assignment f of nonnegative integers to the...

 

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Dynamic Monopolies and Feedback Vertex Sets in Hexagonal Grids (with Denise Sakai Troxell and S. Luke Zinnen), Computers & Mathematics with Applications (2011)

In a majority conversion process, the vertices of a graph can be in one of...

 

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Labeling Matched Sums with a Condition at Distance Two (with Denise Sakai Troxell), Applied Mathematics Letters (2011)

An L(2,1)-labeling of a graph G is a function f:V(G)→{0,1,…,k} such that |f(x)−f(y)|≥2 if x...

 

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On Transeiver Signal Linearization and the Decoding Delay of Maximum Rate Complex Orthogonal Space-Time Block Codes (with Nathaniel Karst, Mathav Kishore Murugan, and Tadeusz A. Wysocki), IEEE Transactions on Information Theory (2011)

Complex orthogonal designs (CODs) have been successfully implemented in wireless systems as complex orthogonal space-time...

 

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Novel Classes of Minimal Delay and Low PAPR Rate 1/2 Complex Orthogonal Designs (with James A. Davis, Nathaniel Karst, Mathav Kishore Murugan, Bryce Lee, Matthew Crawford, and Caitlin Greeley), IEEE Transactions on Information Theory (2011)

Complex orthogonal designs (CODs) of rate 1/2 have been considered recently for use in analog...

 

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On Island Sequences of Labelings with a Condition at Distance Two (with Alex Trazkovich, Denise S. Troxell, and Bradford Westgate), Discrete Applied Mathematics (2010)

An L(2,1)-labeling of a graph G is a function f from the vertex set of...

 

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The Final Case of the Decoding Delay Problem for Maximum Rate Complex Orthogonal Designs (with Nathaniel Karst and Mathav Kishore Murugan), IEEE Transactions on Information Theory (2010)

Complex orthogonal space-time block codes (COSTBCs) based on generalized complex orthogonal designs (CODs) have been...

 

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Novel Constructions of Improved Square Complex Orthogonal Designs for Eight Transmit Antennas (with Le Chung Tran, Tadeusz A. Wysocki, Jennifer Seberry, and Alfred Mertins), IEEE Transactions on Information Theory (2009)

Constructions of square, maximum rate complex orthogonal space-time block codes (CO STBCs) are well known,...

 

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On an Orthogonal Space-Time-Polarization Block Code (with Beata J. Wysocki and Tadeusz A. Wysocki), Journal of Communications (2009)

Over the past several years, diversity methods such as space, time, and polarization diversity have...

 

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Balancing the R with the E in REU Programs (with Rick Gillman and Darren Narayan), Resources for Undergraduate Research (2009)

Externally or internally funded Research Experience for Undergraduates (REU) programs offer students the opportunity to...

 

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Multilevel and Multidimensional Hadamard Matrices (with Matthew Crawford, Caitlin Greeley, Bryce Lee, and Mathav Kishore Murugan), Designs, Codes, and Cryptography (2009)

Multilevel Hadamard matrices (MHMs), whose entries are integers as opposed to the traditional restriction to...

 

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Starting and Maintaining an Academic Year Undergraduate Research Program, Resources for Undergraduate Research in Mathematics (2009)

Undergraduate research experiences often take place in the summer when students and their mentors can...

 

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Inaugural Issue: Getting Undergraduate Research Started (and Funded!) at Your Institution (with Darren Narayan), Resources in Undergraduate Research in Mathematics (2008)

“Undergraduate research is hot!” exclaims MAA President Joseph Gallian. Colleges and universities across the nation...

 

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Quaternion Orthogonal Designs from Complex Companion Designs (with Jennifer Seberry, Nathaniel Karst, Jonathan Pollack, and Tadeusz A. Wysocki), Linear Algebra and its Applications (2008)

The success of applying generalized complex orthogonal designs as space–time block codes recently motivated the...

 

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On the Hole Index of L(2,1)-Labelings of R-Regular Graphs (with Matthew Tesch, Denise S. Troxell, Bradford Westgate, and Cody Wheeland), Discrete Applied Mathematics (2007)

An L(2,1)-labeling of a graph G is an assignment of nonnegative integers to the vertices...

 

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The Minimum Decoding Delay of Maximum Rate Complex Orthogonal Space–Time Block Codes (with Nathaniel Karst and Jonathan Pollack), IEEE Transactions on Information Theory (2007)

The growing demand for efficient wireless transmissions over fading channels motivated the development ofspace-time block...

 

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The Minimum Span of L(2,1)-Labelings of Certain Generalized Petersen Graphs (with Jonathan Cass, Matthew Tesch, Denise S. Troxell, and Cody Wheeland), Discrete Applied Mathematics (2007)

In the classical channel assignment problem, transmitters that are sufficiently close together are assigned transmission...

 

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An Extension of the Channel-Assignment Problem: L(2, 1)-Labelings of Generalized Petersen Graphs (with Jonathan Cass and Denise Sakai Troxell), IEEE Transactions on Circuits and Systems I: Regular Papers (2006)

The channel-assignment problem involves assigning frequencies represented by nonnegative integers to radio transmitters such that...

 

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A Construction Technique for Generalized Complex Orthogonal Designs and Applications to Wireless Communications (with Jennifer Seberry and Tadeusz A. Wysocki), Linear Algebra and Its Applications (2005)

We introduce a construction technique for generalized complex linear processing orthogonal designs, which are p...

 

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The Olin Curriculum: Thinking Toward the Future (with Mark Somerville; David Anderson; Hillary Berbeco; John Bourne; Jill Crisman; Diana Dabby; Helen Donis-Keller; Stephen Holt; Sherra E. Kerns; David V. Kerns, Jr.; Robert Martello; Richard Miller; Michael Moody; Gill Pratt; Joanne C. Pratt; Christina Shea; Stephen Schiffman; Lynn Andrea Stein; Jonathan Stolk; Brian D. Storey; Burt S. Tilley; Benjamin Vandiver; and Yevgeniya Zastavker), IEEE Transactions on Education (2005)

In 1997, the F. W. Olin Foundation of New York established the Franklin W. Olin...

 

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Identifying High-Dimension Subspace Subcodes of Reed-Solomon Codes, IEEE Transactions on Information Theory (2004)

Subspace subcodes of Reed-Solomon (SSRS) codes were introduced by Hattori, McEliece, Solomo, and Lin in...

 

Conference Proceedings

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On the Issue of Decoupled Decoding of Codes Derived from Quaternion Orthogonal Designs (with Tadeusz A. Wysocki and Beata J. Wysocki), 3rd International Conference on Signal Processing and Communication Systems (2009)

Quaternion orthogonal designs (QODs) have been previously introduced as a basis for orthogonal space-time polarization...