This collection represents a sample of faculty work from the Mathematics and Computer Science Department. Mathematics and computer science provide the critical foundation required to answer some of the most pivotal and complex questions of our time. Mathematicians design the models that enable us to understand and improve the structure of transportation networks, computer networks and physical processes, making them more efficient, effective, and versatile. Computer scientists build the invisible layer of software that drives significant advances in scientific research and improves everyday life.

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Submissions from 2015

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Cross-disciplinary detection and analysis of network motifs, Ngoc Tam L. Tran, Luke DeLuccia, Aidan F. McDonald, and Chun Hsi Huang

Submissions from 2014

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Chapter 91: Sage, Robert A. Beezer, R. Bradshaw, J. Grout, and W. Stein

Submissions from 2013

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Extended echelon form and four subspaces, Robert A. Beezer

The Geometry Of Markov Chain Limit Theorems, James Bernhard

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The Lah Numbers And The $n$th Derivative Of $e^1/x$, Siad Daboul, Jan Mangaldan, Michael Z. Spivey, and Peter J. Taylor

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Optimal Discounts for the Online Assignment Problem, Michael Z. Spivey

Submissions from 2012

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Formulas in Physics Have a “Standard” Form, Matthew J. Moelter and Martin Jackson

Change Stories, Brad Richards, Sally Fincher, Janet Finlay, Helen Sharp, and Isobel Falconer

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Stories of change: How educators change their practice, Bradley Richards, Sally Finchner, Janet Finlary, Helen Sharp, and Isobel Falconer

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Enumerating Lattice Paths Touching or Crossing the Diagonal at a Given Number of Lattice Points, Michael Z. Spivey

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Mathematical Modeling in the Undergraduate Curriculum, Carl Toews

Submissions from 2011

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Review of: Assignment Problems by Rainer Burkard, Mauro Dell'Amico, and Silvano Martello, Robert A. Beezer

Explorations in Algebraic Graph Theory with Sage, Robert A. Beezer and Chris Godsil

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Applying Data Structures In Exams, Briana B. Morrison, Mike Clancy, Robert McCartney, Brad Richards, and Kate Sanders

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The Epq With Partial Backordering And Phase-dependent Backordering Rate, David W. Pentico, Matthew J. Drake, and Carl Toews

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Asymptotic Moments of the Bottleneck Assignment Problem, Michael Z. Spivey

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On Solutions to a General Combinatorial Recurrence, Michael Z. Spivey

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The deterministic EO Q and EPQ with partial backordering at a rate that is linearly dependent on the time to delivery, Carl Toews, David W. Pentico, and Matthew J. Drake

Submissions from 2010

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Review of: Pearls Of Discrete Mathematics by Martin Erickson, Robert A. Beezer

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Equivariant Cohomology and Reflections, James Bernhard

Raoul Bott As We Knew Him, James Bernhard, Nancy Hingston, Jim Stasheff, and Victor Guillemin

On second order nonoscillatory scalar linear dynamic equations on time scales, Sigrun Bodine

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Asymptotic integration under weak dichotomies, Sigrun Bodine and D. A. Lutz

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Cycles in War, Michael Z. Spivey

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Deranged Exams, Michael Z. Spivey

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Letter to the editor, Michael Z. Spivey

On the Expected Value of the Bottleneck Assignment Problem, Michael Z. Spivey

The Euler-Maclaurin Summation Formula, Michael Z. Spivey

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Visualizing Continued Fractions, Michael Z. Spivey

Submissions from 2009

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Review of: Vector Calculus by Michael Corral, Robert A. Beezer

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Sage (version 3.4); The Princeton Companion To Mathematics, Robert A. Beezer

Featured Review: Sage (Version 3.4), Robert A. Beezer

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The truly free textbook, Robert A. Beezer

Visual Assessment: Statistical Graphics for Grading and Evaluation, James Bernhard

From Isaac Newton to William Trench: To Oscillate or Not to Oscillate: That is the Question, Sigrun Bodine

On nonoscillatory second order linear differential equations, Sigrun Bodine

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Exponentially Asymptotically Constant Systems Of Difference Equations With An Application To Hyperbolic Equilibria, Sigrun Bodine and D. A. Lutz

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Representation Of Women In Cs: How Do We Measure A Program's Success?, Brad Richards

Can War Last Forever?, Michael Z. Spivey

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Female-specific Ornamentation Predicts Offspring Quality In The Striped Plateau Lizard, Sceloporus Virgatus, Stacey L. Weiss, Eileen A. Kennedy, and James Bernhard

Submissions from 2008

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Review of: Graph Theory by J. A. Bondy and U. S. R. Murty, Robert A. Beezer

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Review of: The Art of Mathematics: Coffee Time in Memphis by Béla Bollobás, Robert A. Beezer

Characterization of No-Show Patients and Their Impact on the Efficient Delivery of Endoscopic Services in the Ambulatory Endoscopy Center, James Bernhard, William H. Holderman, Marshall Nickel, Bev Mansanarez, and Susie Ross

Submissions from 2007

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Review of: A Java Library of Graph Algorithms and Optimization by Hang T. Lau, Robert A. Beezer

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The Topology Of Surface Mediatrices, James Bernhard and J. J. P. Veerman

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On Asymptotic Equivalence Of Perturbed Linear Systems Of Differential And Difference Equations, Sigrun Bodine and D. A. Lutz

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Combinatorial Sums and Finite Differences, Michael Z. Spivey

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Quadratic Residues and the Frobenius Coin Problem, Michael Z. Spivey

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Counting Functions and Finite Differences, Michael Z. Spivey and Natalio H. Guersenzvaig

Submissions from 2006

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Sylow Subgraphs In Self-complementary Vertex Transitive Graphs, Robert A. Beezer

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Handbook of Graph Theory, edited by Jonathan L. Gross and Jay Yellen, Robert A. Beezer

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Sylow subgraphs of self-complementary vertex transitive graphs, Robert A. Beezer

Ricci Flow On Locally Homogeneous Closed 4-manifolds, James Isenberg, Martin Jackson, and Peng Lu

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Women catch up: Gender differences in learning programming concepts, Laurie Murphy, Brad Richards, Renée McCauley, Suzanne Westbrook, and Timothy Fossum

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Problem 1737, Michael Z. Spivey

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The Euler-Maclaurin Formula and Sums of Powers, Michael Z. Spivey

The $k$-binomial Transforms And The Hankel Transform, Michael Z. Spivey and Laura L. Steil

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The k-Binomial Transforms and the Hankel Transform, Michael Z. Spivey and Laura L. Steil

Submissions from 2005

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Review of: Combinatorics of Permutations by Miklós Bóna, Robert A. Beezer

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Combinatorics of Permutations, by Miklos Bona, Robert A. Beezer

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Models for computer science K-12 outreach activities, Laurie Murphy, Tammy VanDeGrift, Brad Richards, and Brent Wilson

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A multi-institutional investigation of computer science seniors' knowledge of programming concepts, Brad Richards, Laurie Murphy, Renée McCauley, Suzanne Westbrook, Timothy Fossum, Susan Haller, Briana B. Morrison, Kate Sanders, Carol Zander, and Ruth E. Anderson

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A multi-institutional, multinational study of programming concepts using card sort data, Brad Richards, Kate Sanders, Dennis Bouvier, Sally Fincher, Gary Lewandowski, Briana Morrison, Laurie Murphy, Marian Petre, Josh Tenenberg, Lynda Thomas, Richard Anderson, Ruth Anderson, Sue Fitzgerald, Alicia Gutschow, Susan Haller, Raymond Lister, Renée McCauley, John McTaggart, Christine Prasad, Terry Scott, Dermot Shinners-Kennedy, Suzanne Westbrook, and Carol Zander

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Solution to Problem 1, 32nd Austrian Mathematics Olympiad, Michael Z. Spivey

Submissions from 2004

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48 Hours of Putnam, Robert A. Beezer

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Proofs that Really Count: The Art of Combinatorial Proof, by A. T. Benjamin and J. J. Quinn, Robert A. Beezer

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Teaching Wireless Networks with Minimal Resources, Brad Richards and Benjamin Stull

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The Dynamic Assignment Problem, Michael Z. Spivey and Warren B. Powell

Submissions from 2003

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Review of: Discrete Mathematics by Lászlo Lovász, Józef Pelikán, and Katalin K. Vesztergombi, Robert A. Beezer

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A First Course in Linear Algebra, Robert A. Beezer

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Review of: Advances in Dynamic Equations on Time Scales by Martin Bohner and Allan Peterson, Sigrun Bodine

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Information Technology Fluency in Practice, Brad Richards, John P. Dougherty, Tom Dececchi, Tony Clear, Stephen Cooper, and Tadeusz Wilusz

Submissions from 2002

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The girth of a design, Robert A. Beezer

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Illustrating networking concepts with wireless handheld devices, Brad Richards and Nate Waisbrot

Submissions from 2001

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Combinatorics and Graph Theory, by J. M. Harris, J. L. Hirst, M. J. Mossinghoff, Robert A. Beezer

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Counting configurations in designs, Robert A. Beezer

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Using minimum degree to bound average distance, Robert A. Beezer, Bryan A. Smith, and John Riegsecker

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RTP: A Transport Layer Implementation Project, Brad Richards

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RTP: A Transport Layer Implementation Project, Brad Richards

Submissions from 2000

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A New Approach To Asymptotic Diagonalization Of Linear Differential Systems, Sigrun Bodine and Robert J. Sacker

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Bugs as Features: Teaching Network Protocols Trough Debugging, Brad Richards

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Bugs as Features: Teaching Network Protocols Trough Debugging, Brad Richards

Submissions from 1999

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Review of: Graph Theory by Reinhard Diestel, Robert A. Beezer

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Modern Graph Theory, by Bela Bollobas, Robert A. Beezer

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Introductory Access for Office 2000, Charles Hommel, Joseph Adamski, and Kathleen Finnegan

Submissions from 1998

Eigenspaces of Graphs, by D. Cvetkovic, P. Rowlinson and S. Simic, Robert A. Beezer

Counting subgraphs of a regular graph, Robert A. Beezer and E. J. Farrell

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Protocol-Based Data-Race Detection, Brad Richards and James R. Larus

Submissions from 1997

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UMAP Module 750: Closing in on the internal rate of return, Robert A. Beezer

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Introductory Access for Office 97, Charles Hommel, Joseph Adamski, and Kathleen Finnegan

Submissions from 1996

Graphs With A Minimum Number Of Pairs Of Independent Edges. I. Matching Polynomials, Robert A. Beezer, J. E. Riegsecker, B. Smith, and E. J. Farrell

Graphs with a minimum number of pairs of independent edges I: Matching polynomials, Robert A. Beezer, John Riegsecker, Bryan A. Smith, and E. J. Farrell

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Comprehensive Access 7 for Windows 95, Charles Hommel and Joseph Adamski

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Introductory Access 7 for Windows 95, Charles Hommel and Joseph Adamski

Memory System for Parallel Programming, Brad Richards

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Teapot: Language Support for Writing Memory Coherence Protocols, Brad Richards, Satish Chandra, and James R. Larus

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Teapot: Language Support for Writing Memory Coherence Protocols, Brad Richards, Satish Chandra, and James R. Larus

Submissions from 1995

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The matching polynomial of a regular graph, Robert A. Beezer and E. J. Farrell

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Introductory dBASE for Windows, Charles Hommel and Roy Ageloff

Submissions from 1994

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LCM: Memory System Support for Parallel Language Implementation, Brad Richards, James R. Larus, and Guhan Viswanathan