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Submissions from 2011

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Carry Propagation in Multiplication by Constants, Alexander Izsak and Nicholas Pippenger

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Toric Symmetry Of CP3, Dagan Karp, Dhruv Ranganathan, Paul Riggins '12, and Ursula Whitcher

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A Theory for the Hydrodynamic Origin of Whale Flukeprints, Rachel Levy, David Uminsky, Allison Park '11, and John Calambokidis

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Dynamic Server Allocation at Parallel Queues, Susan E. Martonosi

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A New Framework for Network Disruption, Susan E. Martonosi, Doug Altner, Michael Ernst, Elizabeth Ferme, Kira Langsjoen, Danika Lindsay, Sean S. Plott '08, and Andrew S. Ronan

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Flight Delays at RegionEx, Susan E. Martonosi and Amr Farahat

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A New genus of Soft Coral of the Family Alcyoniidae (Cnidaria, Octocorallia) with Re-Description of a New Combination and Description of a New Species, Catherine S. McFadden and Yehuda Benayahu

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Limitations of Mitochondrial Gene Barcoding in Octocorallia, Catherine S. McFadden, Yehuda Benayahu, Eric Pante, Jana N. Thoma, P. Andrew Nevarez, and Scott C. France

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Characteristics of Optimal Solutions to the Sensor Location Problem, David R. Morrison '08 and Susan E. Martonosi

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Applications of Convex and Algebraic Geometry to Graphs and Polytopes, Mohamed Omar

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Strong Nonnegativity and Sums of Squares on Real Varieties, Mohamed Omar and Brian Osserman

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Latitudinal and Climatic Variation in Body Size and Dorsal Scale Counts in Sceloporus Lizards: A Phylogenetic Perspective, Christopher E. Oufiero, Gabriel E.A. Gartner, Stephen C. Adolph, and Theodore Garland Jr.

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The Cophylogeny Reconstruction Problem is NP-Complete, Yaniv J. Ovadia '10, Daniel Fielder '11, Chris Conow, and Ran Libeskind-Hadas

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A Census of Vertices by Generations in Regular Tessellations of the Plane, Alice Paul '12 and Nicholas Pippenger

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Effect of Substrate Composition and Alignment on Corneal Cell Phenotype, Donna Phu '09, Lindsay S. Wray '08, Robert V. Warren '10, Richard C. Haskell, and Elizabeth J. Orwin

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On-the-Fly Algorithms and Sequential Machines, Nicholas Pippenger

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Two Extensions of Results of Archimedes, Nicholas Pippenger

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Evolution of Spur-Length Diversity in Aquilegia Petals is Achieved solely through Cell-Shape Anisotropy, Joshua R. Puzey, Sharon J. Gerbode, Scott A. Hodges, Elena M. Kramer, and L. Mahadevan

Submissions from 2010

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Mathematical Biology at an Undergraduate Liberal Arts College, Stephen C. Adolph and Lisette G. de Pillis

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An Amazing Mathematical Card Trick, Arthur T. Benjamin

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Sums of Evenly Spaced Binomial Coefficients, Arthur T. Benjamin, Bob Chen '10, and Kimberly Kindred

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Combinatorial Trigonometry with Chebyshev Polynomials, Arthur T. Benjamin, Larry Ericksen, Pallavi Jayawant, and Mark Shattuck

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Combinatorially Composing Chebyshev Polynomials, Arthur T. Benjamin and Daniel Walton '07

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Voting in Agreeable Societies, Deborah E. Berg '06, Serguei Norine, Francis E. Su, Robin Thomas, and Paul Wollan

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Stability and Dynamics of Self-Similarity in Evolution Equations, Andrew J. Bernoff and Thomas P. Witelski

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Learning to Create Jazz Melodies Using Deep Belief Nets, Greg Bickerman '10, Sam Bosley, Peter Swire, and Robert M. Keller

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The Contributions of Evolutionary Divergence and Phenotypic Plasticity to Geographic Variation in the Western Fence Lizard, Sceloporus Occidentalis, Christine R. Buckley, Duncan J. Irschick, and Stephen C. Adolph

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Existence of Solutions for a Semilinear Wave Equation With Non-Monotone Nonlinearity, Alfonso Castro and Benjamin Preskill '09

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Reduced Electronic Spaces for Modeling Donor/Acceptor Interactions, Robert J. Cave; Stephen T. Edwards '06; John A, Kouzelos '07; and Marshall D. Newton

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Two-Player Envy-Free Multi-Cake Division, John Cloutier '03, Kathryn L. Nyman, and Francis E. Su

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Jane: A New Tool for the Cophylogeny Reconstruction Problem, Chris Conow, Daniel Fielder '11, Yaniv J. Ovadia '10, and Ran Libeskind-Hadas

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Chemoselective Reactions of Citral: Green Syntheses of Natural Perfumes for the Undergraduate Organic Laboratory, Anna D. Cunningham '11, Eun Y. Ham '12, and David A. Vosburg

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Recognizing Graph Theoretic Properties with Polynomial Ideals, Jesus A. De Loera, Christopher J. HIllar, Peter N. Malkin, and Mohamed Omar

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Extending Castigliano’s Theorems to Model the Behavior of Coupled Systems, Clive L. Dym

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Design Pedagogy: Representations and Processes, Daniel D. Frey, William Birmingham, and Clive L. Dym

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Direct Measurements of Island Growth and Step-Edge Barriers in Colloidal Epitaxy, Rajesh Ganapathy, Mark R. Buckley, Sharon J. Gerbode, and Itai Cohen

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Glassy Dislocation Dynamics in 2D Colloidal Dimer Crystals, Sharon J. Gerbode, Ugmang Agarwal, Desmond C. Ong, Chekesha M. Liddell, Fernando Escobedo, and Itai Cohen

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Dislocations and Vacancies in Two-Dimensional Mixed Crystals of Spheres and Dimers, Sharon J. Gerbode, Desmond C. Ong, Chekesha M. Liddell, and Itai Cohen

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Self-Similarity in Particle-Laden Flows at Constant Volume, Natalie Grunewald, Rachel Levy, Matthew Mata, Thomas Ward, and Andrea L. Bertozzi

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Local versus Global Search in Channel Graphs, A.H. Hunter and Nicholas Pippenger

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Engineering Flow States with Localized Forcing in a Thin, Marangoni-Driven Inclined Film, Rachel Levy, Stephen Rosenthal '09, and Jeffrey Wong '11

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Estimating Incidence of Vision-Reducing Cataract in Africa, Susan Lewallen, Talithia Williams, Alyssa W. Dray '10, Brian C. Stock, Wanjiku Mathenge, Joseph Oye, John Nkurikiye, Kahaki Kimani, Andreas Müller, and Paul Courtright

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Figs, Wasps, Gophers, and Lice: A Computational Exploration of Coevolution, Ran Libeskind-Hadas

Research on the Corporate Financing of Chinese Small-and-Medium Enterprises During Financial Crisis Period, Tianxia Li and Weiqing Gu

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Sex, Mixability, and Modularity, Adi Livnat, Christos Papadimitriou, Nicholas Pippenger, and Marcus W. Feldman

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"Toward Integration: From Quantitative Biology to Mathbio-Biomath?", Pat Marsteller, Lisette G. de Pillis, Ann Findley, Karl Joplin, John Pelesko, Karen Nelson, Katerina Thompson, David Usher, and Joseph Watkins

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Molecular Phylogenetic Insights Into the Evolution of Octocorallia: A Review, Catherine S. McFadden, Scott C. France, and Juan A. Sánchez

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Circulation of Fluids in the Gastrovascular System of a Stoloniferan Octocoral, Catherine S. McFadden, Austin P. Parrin, Sarah E. Netherton, Lori S. Bross, and Neil W. Blackstone

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Green, Enzymatic Syntheses of Divanillin and Diapocynin for the Organic, Biochemistry, or Advanced General Chemistry Laboratory, Rachel T. Nishimura '09, Chiara H. Giammanco '10, and David A. Vosburg

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The Hypercube of Resistors, Asymptotic Expansions, and Preferential Arrangements, Nicholas Pippenger

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Large Deviations and Moments for the Euler Characteristic of a Random Surface, Nicholas Pippenger and Kevin Fleming '08

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Effective Collaborations to Support Transformative Research, Jeffrey G. Ryan and Lisette G. de Pillis

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From Surface Operators to Non-Abelian Volume Operators in Puff Field Theory, Vatche Sahakian

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Economic Survey of the Monetary Value Placed on Human Life by Government Agencies in the United States of America, John F. Silny '05, Robert F. Little '06, and Donald S. Remer

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Comparative Environmental Politics: Beyond an Enclave Approach, Paul F. Steinberg

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The Effect of Mobile Element IS10 on Experimental Regulatory Evolution in Escherichia coli, Daniel M. Stoebel and Charles J. Dorman

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Waste and Yet Want Not, Daniel M. Stoebel and Daniel E. Dykhuizen

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Teaching Research: Encouraging Discoveries, Francis E. Su

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Two-step, Stereoselective Synthesis of Linalyl Oxides by Asymmetric Allylic O-alkylation, Kanny K. Wan '11, Jonathan P. Litz '09, and David A. Vosburg

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A Green, Enantioselective Synthesis of Warfarin for the Undergraduate Organic Laboratory, Terence C. Wong '09, Camille M. Sultana '10, and David A. Vosburg

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Generation of Nanoparticles of Controlled Size using Ultrasonic Piezoelectric Oscillators in Solution, Ian K. Wright '09, Andrew P. Higginbotham '09, Shenda M. Baker, and Thomas D. Donnelly

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Kinematic Evidence for Superfast Locomotory Muscle in Two Species of Teneriffiid Mites, Grace C. Wu, Jonathan C. Wright, Dwight L. Whitaker, and Anna N. Ahn

Submissions from 2009

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Some Properties of Algebras of Real-valued Measurable Functions, Hassan Azadi, Melvin Henriksen, and Ehsan Momtahan

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Ta Da! (A Magical Math Pop Quiz), Arthur T. Benjamin

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Ted Talk: Arthur Benjamin's Formula for Changing Math Education, Arthur T. Benjamin

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Compression Theorems for Periodic Tilings and Consequences, Arthur T. Benjamin, Alex K. Eustis '06, and Mark A. Shattuck

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Counting on Chebyshev Polynomials, Arthur T. Benjamin and Daniel Walton '07

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A Semilinear Wave Equation with Smooth Data and No Resonance Having No Continuous Solution, Jose F. Caicedo and Alfonso Castro

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Inducing Chirality with Circularly Polarized Light, Robert J. Cave

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Self-Organized Criticality in Sheared Suspensions, L. Corté, Sharon J. Gerbode, W. Man, and D. J. Pine

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Voting, the Symmetric Group, and Representation Theory, Zajj Daugherty '05, Alexander K. Eustis '06, Gregory Minton '08, and Michael E. Orrison

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Mathematical Model Creation for Cancer Chemo-Immunotherapy, Lisette G. de Pillis, K Renee Fister, Weiqing Gu, Craig Collins, Michael Daub, David Gross '08, James Moore '07, and Benjamin Preskill '09

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Consistent Derivations of Spring Rates for Helical Springs, Clive L. Dym

D3 Branes in a Melvin Universe: A new realm for gravitational holography, Julian E. Freed-Brown '10, Vedika Khemani '10, and Vatche Sahakian

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Generation of Mie Size Microdroplet Aerosols with Applications in Laser-Driven Fusion Experiments, Andrew P. Higginbotham '09, O. Semonin '06, S. Bruce '08, C. Chan '08, M. Maindi '07, Thomas D. Donnelly, M. Maurer, W. Bang, I. Churina, J. Osterholz, I. Kim, A. C. Bernstein, and T. Ditmire

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Asymptotic Dynamics of Attractive-Repulsive Swarms, Andrew J. Leverentz '08, Chad M. Topaz, and Andrew J. Bernoff

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On the Computational Complexity of the Reticulate Cophylogeny Reconstruction Problem, Ran Libeskind-Hadas and Michael A. Charleston

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A preliminary mathematical model of skin dendritic cell trafficking and induction of T cell immunity, Amy H. Lin Erickson, Alison Wise, Stephen Fleming, Margaret Baird, Zabeen Lateef, Annette Molinaro, Miranda Teboh-Ewungkem, and Lisette G. de Pillis

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Molecular Systematics of the Speciose Indo-Pacific Soft Coral Genus, Sinularia (Anthozoa: Octocorallia)., Catherine S. McFadden, Leen P. van Ofwegen, Yehuda Benayahu, Phil Alderslade, and Elizabeth J. Beckman

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A Concise, Biomimetic Total Synthesis of (+)-Davanone, Karen C. Morrison '08, Jonathan P. Litz '09, Kathryn P. Scherpelz '07, Paul D. Dossa '06, and David A. Vosburg

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Thermal Links for the Implementation of an Optical Refrigerator, John Parker, David Mar, Steven Von der Porten, John Hankinson, Kevin Byram, Chris Lee, Michael K. Mayeda, Richard C. Haskell, Qimin Yang, Scott R. Greenfield, and Richard I. Epstein

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Stability of Traveling Waves in Thin Liquid Films Driven by Gravity and Surfactant, Ellen Peterson, Michael Shearer, Thomas P. Witelski, and Rachel Levy

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Attribute estimation and testing quasi-symmetry, Nicholas Pippenger and Krzysztof Majewski

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Project and Engineering Management Certification, Donald S. Remer and Michael A. Martin '09

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How Much can Guided Modes Enhance Absorption in Thin Solar Cells?, Peter N. Saeta, Vivian E. Ferry, Domenico Pacifici, Jeremy N. Munday, and Harry A. Atwater

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Institutional Resilience Amid Political Change: The Case of Biodiversity Conservation, Paul F. Steinberg

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Compensatory Evolution of Gene Regulation in Response to Stress by Escherichia coli Lacking RpoS, Daniel M. Stoebel, Karsten Hokamp, Michael S. Last, and Charles J. Dorman

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The Initial and Final States of Electron and Energy Transfer Processes: Diabatization as Motivated by System-Solvent Interactions, Joseph E. Subotnik, Robert J. Cave, Ryan P. Steele, and Neil Shenvi

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Sum Rules and Universality in Electron-modulated Acoustic Phonon Interaction in a Free-standing Semiconductor Plate, Shigeyasu Uno, Darryl H. Yong, and Nobuya Mori

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Gaseous Hole Closing in a Polymer Langmuir Monolayer, Lu Zou, Andrew J. Bernoff, J. Adin Mann Jr., James C. Alexander, and Elizabeth K. Mann

Submissions from 2008

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Estimating Maximum Performance: Effects of Intraindividual Variation, Stephen C. Adolph and Trevor Pickering '05

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Uniqueness of Large Radial Solutions and Existence of Nonradial Solutions for a Superlinear Dirichlet Problem in Annulii, Hugo Aduén, Alfonso Castro, and Jorge Cossio

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The Tuning of Lou Harrison - Por Gitaro: Suites for Tuned Guitars, performed by John Schneider, Bill Alves

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The 99th Fibonacci Identity, Arthur T. Benjamin, Alex K. Eustis '06, and Sean S. Plott '08

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A Combinatorial Approach to Fibonomial Coefficients, Arthur T. Benjamin and Sean S. Plott '08

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Tiling Proofs of Recent Sum Identities Involving Pell Numbers, Arthur T. Benjamin, Sean S. Plott, and James A. Sellers

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Tiling Proofs of Recent Sum Identities Involving Pell Numbers, Arthur T. Benjamin, Sean S. Plott '08, and James A. Sellers

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An Alternate Approach to Alternating Sums: A Method to DIE for, Arthur T. Benjamin and Jennifer J. Quinn

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Paint it Black -- A Combinatorial Yawp, Arthur T. Benjamin, Jennifer J. Quinn, James A. Sellers, and Mark A. Shattuck

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Competitive Analysis of Online Traffic Grooming in WDM Rings, Karyn Benson, Benjamin Birnbaum, Esteban Molina-Estolano '06, and Ran Libeskind-Hadas